Research Group of Prof. Dr. Michael Griebel

Publications of this group

2024

  1. Learning Lipschitz operators with respect to Gaussian measures with near-optimal sample complexity. B. Adcock, M. Griebel, and G. Maier. Available as INS Preprint No. 2402, 2024. BibTeX PDF
  2. On multilevel energy-based fragmentation methods. J. Barker, M. Griebel, and J. Hamaekers. Available as INS Preprint No. 2403, 2024. BibTeX PDF
  3. Algorithmic Mathematics in Machine Learning. B. Bohn, J. Garcke, and M. Griebel. Data Science. SIAM, Philadelphia, PA, USA, 2024. BibTeX DOI
  4. Efficient solution of ill-posed integral equations through averaging. M. Griebel and T. Jahn. Available as INS Preprint No. 2401, 2024. BibTeX PDF
  5. Hilbert Space Splittings and Iterative Methods. M. Griebel and P. Oswald. Volume 62 of Springer Series in Computational Mathematics. Springer Verlag, 2024. BibTeX Link
  6. A dimension-adaptive combination technique for uncertainty quantification. M. Griebel and U. Seidler. International Journal for Uncertainty Quantification, 14(2):21–43, 2024. Also available as INS Preprint No. 2205. BibTeX PDF DOI

2023

  1. On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction. B. Brown, M. Griebel, F. Y. Kuo, and I. H. Sloan. Bulletin of the Australian Mathematical Society, pages 1–13, 2023. Also available as INS Preprint No. 2301. BibTeX PDF DOI
  2. Analysis of tensor approximation schemes for continuous functions. M. Griebel and H. Harbrecht. Foundations of Computational Mathematics, 23:219–240, 2023. Also available as INS Preprint No. 1903. BibTeX PDF DOI
  3. Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. M. Griebel, H. Harbrecht, and R. Schneider. Mathematics of Computation, 92(342):1729–1746, 2023. Also available as INS Preprint No. 2203. BibTeX PDF DOI
  4. Convergence analysis of online algorithms for vector-valued kernel regression. M. Griebel and P. Oswald. Available as INS Preprint No. 2302, 2023. BibTeX PDF
  5. A dimension-oblivious domain decomposition method based on space-filling curves. M. Griebel, M. A. Schweitzer, and L. Troska. SIAM Journal on Scientific Computing, 45(2):A369–A396, 2023. Also available as INS Preprint No. 2105. BibTeX PDF DOI
  6. Convergence of generalized cross-validation for an ill-posed integral equation. T. Jahn. Available as INS Preprint No. 2303, 2023. BibTeX PDF

2022

  1. Deep neural networks and PIDE discretizations. B. Bohn, M. Griebel, and D. Kannan. SIAM Journal on Mathematics of Data Science, 4(3):1145–1170, 2022. Also available as INS Preprint No. 2102. BibTeX PDF Supplement DOI
  2. Sparse tensor product approximation for a class of generalized method of moments estimators. A. Gilch, M. Griebel, and J. Oettershagen. International Journal for Uncertainty Quantification, 12(2):53–79, 2022. Also available as INS Preprint No. 2006. BibTeX PDF DOI
  3. Generalized sparse grid interpolation based on the fast discrete Fourier transform. M. Griebel and J. Hamaekers. In Sparse Grids and Applications - Munich 2018, volume 144 of Lecture Notes in Computational Science and Engineering, pages 53–68. Springer International Publishing, 2022. BibTeX PDF DOI
  4. A mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations. T. Pollinger, J. Rentrop, D. Pflüger, and K. Kormann. Available as INS Preprint No. 2209, 2022. BibTeX PDF arXiv

2021

  1. On the numerical approximation of the Karhunen-Loève expansion for random fields with random discrete data. M. Griebel, G. Li, and C. Rieger. Available as INS Preprint No. 2106, 2021. BibTeX PDF
  2. A fault-tolerant domain decomposition method based on space-filling curves. M. Griebel, M. A. Schweitzer, and L. Troska. Available as INS Preprint No. 2101, 2021. BibTeX PDF

2020

  1. Band-limited maximizers for a Fourier extension inequality on the circle, II. J. Barker, C. Thiele, and P. Zorin-Kranich. Experimental Mathematics, 2020. Accepted for publication. BibTeX arXiv
  2. Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains. M. Griebel, H. Harbrecht, and M. Multerer. SIAM J. Numer. Anal., 58(1):684–705, 2020. Also available as INS Preprint No. 1521. BibTeX PDF DOI
  3. Stochastic subspace correction methods and fault tolerance. M. Griebel and P. Oswald. Math. Comp., 89(321):279–312, 2020. Also available as INS Preprint No. 1809. BibTeX PDF DOI arXiv
  4. EXAHD: A massively parallel fault tolerant sparse grid approach for high-dimensional turbulent plasma simulations. R. Lago, M. Obersteiner, T. Pollinger, J. Rentrop, H.-J. Bungartz, T. Dannert, M. Griebel, F. Jenko, and D. Pflüger. In H.-J. Bungartz, S. Reiz, B. Uekermann, P. Neumann, and W. E. Nagel, editors, Software for Exascale Computing - SPPEXA 2016-2019, 301–329. Cham, 2020. Springer International Publishing. Also available as INS Preprint No. 2001. BibTeX PDF DOI
  5. Explain it to me – Facing Remote Sensing Challenges in the Bio- and Geosciences with Explainable Machine Learning. R. Roscher, B. Bohn, M. F. Duarte, and J. Garcke. In ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences, volume V-3-2020, 817–824. 2020. BibTeX DOI

2019

  1. Meshfree Methods for Partial Differential Equations IX, volume 129 of Lecture Notes in Computational Science and Engineering, Springer, 2019. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. A representer theorem for deep kernel learning. B. Bohn, M. Griebel, and C. Rieger. Journal of Machine Learning Research, 20(64):1–32, 2019. Also available as INS Preprint No. 1714. BibTeX PDF JMLR
  3. Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. B. Bohn, M. Griebel, and J. Oettershagen. In Proceedings of the 2019 SIAM International Conference on Data Mining, 163–171. 2019. Also available as INS Preprint No. 1812. BibTeX PDF DOI
  4. Singular value decomposition versus sparse grids: Refined complexity estimates. M. Griebel and H. Harbrecht. IMA Journal of Numerical Analysis, 39(4):1652–1671, 2019. Also available as INS Preprint No. 1708. BibTeX PDF DOI
  5. Maximum approximated likelihood estimation. M. Griebel, F. Heiss, J. Oettershagen, and C. Weiser. Submitted to Econometric Theory. Available as INS Preprint No. 1905, 2019. BibTeX PDF
  6. Simulation of micron-scale drop impact. M. Griebel and M. Klitz. Computers & Mathematics with Applications, 78(9):3027–3043, 2019. Also available as INS Preprint No. 1811. BibTeX PDF DOI
  7. On the numerical approximation of the Karhunen-Loève expansion for lognormal random fields. M. Griebel and G. Li. Available as INS Preprint No. 1904, 2019. BibTeX PDF
  8. Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations. M. Griebel, C. Rieger, and P. Zaspel. International Journal for Uncertainty Quantification, 9(5):471–492, 2019. Also available as INS Preprint No. 1813. BibTeX PDF DOI
  9. Kernel-based reconstructions for parametric PDEs. R. Kempf, H. Wendland, and C. Rieger. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations IX, volume 129 of Lecture Notes in Computational Science and Engineering, 53–71. Springer, 2019. Also available as INS Preprint No. 1804. BibTeX PDF DOI
  10. Sampling inequalities for anisotropic tensor product grids. C. Rieger and H. Wendland. IMA Journal of Numerical Analysis, 2019. Online first. Also available as INS Preprint No. 1805. BibTeX PDF DOI

2018

  1. On the convergence rate of sparse grid least squares regression. B. Bohn. In J. Garcke, D. Pflüger, C. Webster, and G. Zhang, editors, Sparse Grids and Applications - Miami 2016, volume 123 of Lecture Notes in Computational Science and Engineering, pages 19–41. Springer, 2018. BibTeX PDF
  2. Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics. M. Burkow and M. Griebel. Computers and Fluids, 166:275–285, 2018. Also available as INS Preprint No. 1622. BibTeX PDF DOI
  3. ε\varepsilon -dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. D. Dũng, M. Griebel, V. N. Huy, and C. Rieger. Journal of Complexity, 46:66–89, 2018. Also available as INS Preprint No. 1703. BibTeX PDF DOI arXiv
  4. An adaptive multiscale approach for electronic structure methods. M. Griebel, J. Hamaekers, and R. Chinnamsetty. Multiscale Modeling & Simulation, 16(2):752–776, 2018. Also available as INS Preprint No. 1601. BibTeX PDF DOI
  5. Stochastic subspace correction in Hilbert space. M. Griebel and P. Oswald. Constructive Approximation, 48(3):501–521, 2018. Also available as INS Preprint No. 1717. BibTeX PDF DOI
  6. Regularized kernel-based reconstruction in generalized Besov spaces. M. Griebel, C. Rieger, and B. Zwicknagl. Foundations of Computational Mathematics, 18(2):459–508, 2018. Also available as INS Preprint No. 1517. BibTeX PDF DOI
  7. On the decay rate of the singular values of bivariate functions. M. Griebel and G. Li. SIAM J. Numer. Anal., 56(2):974–993, 2018. Also available as INS preprint No. 1702. BibTeX PDF DOI
  8. On the degree of ill-posedness of multi-dimensional magnetic particle imaging. T. Kluth, B. Jin, and G. Li. Inverse Problems, 2018. Also available as INS preprint No. 1718. BibTeX PDF DOI
  9. Multiscale simulation of polymeric fluids using the sparse grid combination technique. A. Rüttgers and M. Griebel. Applied Mathematics and Computation, 319:425–443, 2018. also available as INS Preprint No. 1623. BibTeX PDF Publisher
  10. Incremental kernel based approximations for Bayesian inverse problems. C. Rieger. Available as INS Preprint No. 1807., 2018. BibTeX PDF
  11. Iterated Landweber method for radial basis functions interpolation with finite accuracy. C. Rieger. Available as INS Preprint No. 1806., 2018. BibTeX PDF

2017

  1. Meshfree Methods for Partial Differential Equations VIII, volume 115 of Lecture Notes in Computational Science and Engineering, Springer, 2017. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. LC-GAP: Localized Coulomb descriptors for the Gaussian Approximation Potential. J. Barker, J. Bulin, J. Hamaekers, and S. Mathias. In M. Griebel, A. Schüller, and M. A. Schweitzer, editors, Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI, pages 25–42. Springer International Publishing, Cham, 2017. BibTeX PDF
  3. Error estimates for multivariate regression on discretized function spaces. B. Bohn and M. Griebel. SIAM Journal on Numerical Analysis, 55(4):1843–1866, 2017. Also available as INS Preprint No. 1412. BibTeX PDF DOI
  4. On the expected uniform error of geometric Brownian motion approximated by the Lévy-Ciesielski construction. B. Brown, M. Griebel, F. Y. Kuo, and I. H. Sloan. Available as INS Preprint No. 1706., 2017. BibTeX PDF
  5. CLSVOF as a fast and mass-conserving extension of the level-set method for the simulation of two-phase flow problems. M. Griebel and M. Klitz. Numer. Heat Transfer, Part B, 71(1):1–36, 2017. Also available as INS Preprint No. 1515. BibTeX PDF DOI
  6. Note on ”The smoothing effect of integration in Rd\mathbb {R}^d and the ANOVA decomposition”. M. Griebel, F. Y. Kuo, and I. H. Sloan. Mathematics of Compuation, 86:1855–1876, 2017. Also available as INS preprint No. 1513. BibTeX PDF
  7. The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. M. Griebel, F. Y. Kuo, and I. H. Sloan. Mathematics of Computation, 86:1855–1876, 2017. Also available as INS preprint No. 1403. BibTeX PDF
  8. Stable splittings of Hilbert spaces of functions of infinitely many variables. M. Griebel and P. Oswald. Journal of Complexity, 41:126–151, 2017. Also available as INS Preprint No. 1617. BibTeX PDF DOI
  9. Reproducing kernel Hilbert spaces for parametric partial differential equations. M. Griebel and C. Rieger. SIAM/ASA J. Uncertainty Quantification, 5:111–137, 2017. also available as INS Preprint No. 1511. BibTeX PDF DOI
  10. Upwind schemes for scalar advection-dominated problems in the discrete exterior calculus. M. Griebel, C. Rieger, and A. Schier. In D. Bothe and A. Reusken, editors, Transport Processes at Fluidic Interfaces, pages 145–175. Springer International Publishing, 2017. BibTeX PDF DOI
  11. Scientific Computing and Algorithms in Industrial Simulations. M. Griebel, A. Schüller, and M. A. Schweitzer, editors. Springer, 2017. BibTeX Publisher
  12. Upscaled HDG methods for Brinkman equations with high-contrast heterogeneous coefficient. G. Li and K. Shi. INS preprint No. 1716., 2017. BibTeX PDF
  13. ATK-ForceField: a new generation molecular dynamics software package. J. Schneider, J. Hamaekers, S. Chill, S. Smidstrup, J. Bulin, R. Thesen, A. Blom, and K. Stokbro. Modelling and Simulation in Materials Science and Engineering, 25(8):085007, 2017. BibTeX

2016

  1. A multilevel approach to the evolutionary generation of polycrystalline structures. J. Barker, G. Bollerhey, and J. Hamaekers. Computational Materials Science, 114:54–63, 2016. Also available as INS Preprint No. 1525. BibTeX PDF
  2. A sparse grid based method for generative dimensionality reduction of high-dimensional data. B. Bohn, J. Garcke, and M. Griebel. Journal of Computational Physics, 309:1–17, 2016. also available as INS Preprint No. 1514. BibTeX PDF DOI
  3. A full three dimensional numerical simulation of the sediment transport and the scouring at a rectangular obstacle. M. Burkow and M. Griebel. Computer and Fluids, 125:1–10, 2016. Also available as INS Preprint No. 1307. BibTeX PDF DOI
  4. Hyperbolic cross approximation in infinite dimensions. D. Dũng and M. Griebel. Journal of Complexity, 33:55–88, 2016. Also available as INS Preprint No. 1501. BibTeX PDF DOI
  5. On tensor product approximation of analytic functions. M. Griebel and J. Oettershagen. Journal of Approximation Theory, 207:348–379, 2016. Also available as INS Preprint No. 1512. BibTeX PDF
  6. Schwarz iterative methods: Infinite space splittings. M. Griebel and P. Oswald. Constructive Approximation, 44(1):121–139, 2016. Also available as INS Preprint No. 1413. BibTeX PDF DOI

2015

  1. Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, Springer, 2015. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. Towards the three-dimensional numerical simulation of fluvial geomorphological processes. M. Burkow and M. Griebel. Zeitschrift für Geomorphologie, 58(3):15–32, 2015. also available as INS Preprint No. 1502. BibTeX DOI
  3. Optimal scaling parameters for sparse grid discretizations. M. Griebel, A. Hullmann, and P. Oswald. Numerical Linear Algebra with Applications, 22(1):76–100, 2015. Also available as INS Preprint No. 1314. BibTeX PDF DOI
  4. Multiscale approximation and reproducing kernel Hilbert space methods. M. Griebel, C. Rieger, and B. Zwicknagl. SIAM Journal on Numerical Analysis, 53(2):852–873, 2015. Also available as INS Preprint No. 1312. BibTeX PDF DOI
  5. Institute for Numerical Simulation, Report on the Past Six Years. A. Hullmann and M. Griebel, editors. Institute for Numerical Simulation, University of Bonn, Germany, 2015. BibTeX Contact
  6. Simulation of the oil storage process in the scopa of specialized bees. A. Rüttgers, M. Griebel, L. Pastrik, H. Schmied, D. Wittmann, A. Scherrieble, A. Dinkelmann, and T. Stegmaier. Computers & Fluids, 119:115–130, 2015. Also available as INS Preprint No. 1404. BibTeX PDF Publisher

2014

  1. 3D incompressible two-phase flow benchmark computations for rising droplets. J. Adelsberger, P. Esser, M. Griebel, S. Groß, M. Klitz, and A. Rüttgers. In Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain. 2014. Also available as INS Preprint No. 1401 and as IGPM Preprint No. 393. BibTeX PDF
  2. Extraction of Quantifiable Information from Complex Systems. S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter, R. Schneider, C. Schwab, and H. Yserentant, editors. Volume 102 of Lecture Notes in Computational Science and Engineering. Springer, 2014. BibTeX
  3. Singular Phenomena and Scaling in Mathematical Models. M. Griebel, editor. Springer, Cham, 2014. BibTeX DOI
  4. Fast discrete Fourier transform on generalized sparse grids. M. Griebel and J. Hamaekers. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 75–108. Springer, 2014. BibTeX PDF
  5. A bond order dissection ANOVA approach for efficient electronic structure calculations. M. Griebel, J. Hamaekers, and F. Heber. In Extraction of Quantifiable Information from Complex Systems, volume 102 of Lecture Notes in Computational Science and Engineering, pages 211–235. Springer, 2014. BibTeX PDF
  6. Approximation of two-variate functions: singular value decomposition versus sparse grids. M. Griebel and H. Harbrecht. IMA Journal of Numerical Analysis, 34(1):28–54, 2014. Also available as INS Preprint No. 1109. BibTeX PDF DOI
  7. On the convergence of the combination technique. M. Griebel and H. Harbrecht. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 55–74. Springer, 2014. BibTeX PDF
  8. A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data. M. Griebel and A. Hullmann. In H. Bock, X. Hoang, R. Rannacher, and J. Schlöder, editors, Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, pages 51–62. Springer International Publishing, 2014. BibTeX PDF DOI
  9. Dimensionality reduction of high-dimensional data with a nonlinear principal component aligned generative topographic mapping. M. Griebel and A. Hullmann. SIAM Journal on Scientific Computing, 36(3):A1027–A1047, 2014. Also available as INS Preprint No. 1311. BibTeX PDF DOI
  10. On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions. M. Griebel and A. Hullmann. In Singular Phenomena and Scaling in Mathematical Models, pages 263–296. Springer International Publishing Switzerland, 2014. BibTeX PDF
  11. Multiscale simulations of three-dimensional viscoelastic flows in a square-square contraction. M. Griebel and A. Rüttgers. Journal of non-Newtonian Fluid Mechanics, 205:41–63, 2014. also available as INS Preprint No. 1313. BibTeX PDF Publisher
  12. Simulation of dilute polymeric fluids in a three-dimensional contraction using a multiscale FENE model. M. Griebel and A. Rüttgers. In AIP Conference Proceedings, volume 1593, 539–543. 2014. Proceedings of PPS-29: The 29th International Conference of the Polymer Processing Society, Nuremberg, Germany, also available as INS Preprint No. 1308. BibTeX PDF DOI
  13. SIMDATA-NL - Nichtlineare Charakterisierung und Analyse von FEM-Simulationsergebnissen für Autobauteile und Crash-Tests. M. Griebel, H.-J. Bungartz, C. Czado, J. Garcke, U. Trottenberg, C.-A. Thole, B. Bohn, R. Iza-Teran, A. Paprotny, B. Peherstorfer, and U. Schepsmeier. Abschlussbericht des BMBF-Projekts, BMBF-Projekt, 2014. BibTeX PDF
  14. Dimension-adaptive sparse grid quadrature for integrals with boundary singularities. M. Griebel and J. Oettershagen. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 109–136. Springer, 2014. BibTeX PDF
  15. Exahd: an exa-scalable two-level sparse grid approach for higher-dimensional problems in plasma physics and beyond. D. Pflüger, H.-J. Bungartz, M. Griebel, F. Jenko, T. Dannert, M. Heene, C. Kowitz, A. Hinojosa, and P. Zaspel. In L. Lopes, J. Žilinskas, A. Costan, RobertoG. Cascella, G. Kecskemeti, E. Jeannot, M. Cannataro, L. Ricci, S. Benkner, S. Petit, V. Scarano, J. Gracia, S. Hunold, StephenL. Scott, S. Lankes, C. Lengauer, J. Carretero, J. Breitbart, and M. Alexander, editors, Euro-Par 2014: Parallel Processing Workshops, volume 8806 of Lecture Notes in Computer Science, pages 565–576. Springer International Publishing, 2014. BibTeX DOI

2013

  1. Meshfree Methods for Partial Differential Equations VI, volume 89 of Lecture Notes in Computational Science and Engineering, Springer, 2013. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. Sparse Grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, Springer, 2013. J. Garcke and M. Griebel, editors. BibTeX Publisher
  3. An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations. O. Bokanowski, J. Garcke, M. Griebel, and I. Klompmaker. J. of Scientific Computing, 55(3):575–605, 2013. Also available as INS Preprint No. 1207. BibTeX PDF DOI
  4. Time series forecasting using sparse grids. J. Garcke, T. Gerstner, and M. Griebel. Technical Report, Fraunhofer SCAI, 2013. BibTeX PDF Link
  5. A note on the construction of L-fold sparse tensor product spaces. M. Griebel and H. Harbrecht. Constructive Approximation, 38(2):235–251, 2013. Also available as INS Preprint No. 1205. BibTeX PDF
  6. On the construction of sparse tensor product spaces. M. Griebel and H. Harbrecht. Mathematics of Computations, 82(282):975–994, apr 2013. Also available as INS Preprint No. 1104, 2011. BibTeX PDF
  7. An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model. M. Griebel and A. Hullmann. In Sparse grids and Applications, Lecture Notes in Computational Science and Engineering, 121–150. Springer, 2013. Also available as INS Preprint No. 1202. BibTeX PDF
  8. Simulation of droplet impact with dynamic contact angle boundary conditions. M. Griebel and M. Klitz. In Singular Phenomena and Scaling in Mathematical Models, pages 297–325. Springer International Publishing Switzerland, 2013. BibTeX PDF
  9. The smoothing effect of integration in Rd\mathbb {R}^d and the ANOVA decomposition. M. Griebel, F. Y. Kuo, and I. H. Sloan. Math. Comp., 82:383–400, 2013. Also available as INS preprint No. 1007, 2010. BibTeX PDF
  10. Fast approximation of the discrete Gauss transform in higher dimensions. M. Griebel and D. Wissel. Journal of Scientific Computing, 55(1):149–172, 2013. Also available as INS Preprint No. 1111, 2011. BibTeX PDF DOI
  11. Multiscale simulation of ion migration for battery systems. C. Neuen, M. Griebel, and J. Hamaekers. MRS Online Proceedings Library, 2013. Also available as INS Preprint no. 1208. BibTeX PDF DOI
  12. Solving incompressible two-phase flows on multi-GPU clusters. P. Zaspel and M. Griebel. Computers & Fluids, 80(0):356 – 364, 2013. Selected contributions of the 23rd International Conference on Parallel Fluid Dynamics ParCFD2011, also available as INS Preprint no. 1113. BibTeX PDF DOI

2012

  1. An adaptive sparse grid approach for time series predictions. B. Bohn and M. Griebel. In J. Garcke and M. Griebel, editors, Sparse grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 1–30. Springer, 2012. BibTeX PDF DOI
  2. Computational 3D simulation of calcium leaching in cement matrices. J.J. Gaitero, J.S. Dolado, C. Neuen, F. Heber, and E. Koenders. In Proceedings of the Second International Conference on Microstructural-related Durability of Cementitious Composites, RILEM. 2012. Also available as INS Preprint no 1203. BibTeX PDF
  3. Intraday foreign exchange rate forecasting using sparse grids. J. Garcke, T. Gerstner, and M. Griebel. In J. Garcke and M. Griebel, editors, Sparse Grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, 81–106. 2012. also available as INS Preprint No. 1006. BibTeX PDF
  4. Greedy and randomized versions of the multiplicative Schwarz method. M. Griebel and P. Oswald. Linear Algebra Appl., 437:1596–1610, 2012. also available as INS Preprint No. 1105. BibTeX PDF DOI

2011

  1. Meshfree Methods for Partial Differential Equations V, volume 79 of Lecture Notes in Computational Science and Engineering, Springer, 2011. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. The nano-branched structure of cementitious calcium-silicate-hydrate gel. J. S. Dolado, M. Griebel, J. Hamaekers, and F. Heber. Journal of Materials Chemistry, 21:4445–4449, 2011. BibTeX PDF DOI Link
  3. A multigrid method for constrained optimal control problems. M. Engel and M. Griebel. Journal of Computational and Applied Mathematics, 235(15):4368 – 4388, 2011. BibTeX PDF DOI
  4. BOSSANOVA - A bond order dissection approach for efficient electronic structure calculations. M. Griebel, J. Hamaekers, and F. Heber. Oberwolfach Report, 32:1804–1808, 2011. BibTeX DOI
  5. Identification of transport coefficient models in convection-diffusion equations. M. Karalashvili, S. Groß, W. Marquardt, A. Mhamdi, and A. Reusken. SIAM J. Sci. Comput., 33(1):303–327, 2011. BibTeX DOI
  6. Massively parallel fluid simulations on amazon's hpc cloud. P. Zaspel and M. Griebel. In Network Cloud Computing and Applications (NCCA), 2011 First International Symposium on, volume, 73 –78. nov. 2011. BibTeX DOI Link
  7. Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. P. Zaspel and M. Griebel. Computing and Visualization in Science, 14(8):371–383, 2011. BibTeX PDF DOI

2010

  1. Validated simulation of droplet sedimentation with finite-element and level-set methods. E. Bertakis, S. Groß, J. Grande, O. Fortmeier, A. Reusken, and A. Pfennig. Comp. Eng. Sci., 65:2037–2051, 2010. BibTeX
  2. On Kolmogorov's Superposition Theorem and its Applications: A Nonlinear Model for Numerical Function Reconstruction from Discrete Data Sets in Higher Dimensions. J. Braun. Südwestdeutscher Verlag für Hochschulschriften, Saarbrücken, 2010. ISBN 3838116372. BibTeX
  3. Sparse grids. T. Gerstner and M. Griebel. In R. Cont, editor, Encyclopedia of Quantitative Finance. John Wiley and Sons, 2010. BibTeX PDF Publisher
  4. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation. M. Griebel and J. Hamaekers. In M. Dolg, editor, Modern and Universal First-principles Methods for Many-electron Systems in Chemistry and Physics, volume 3 of Progress in Physical Chemistry, pages 237–253. Oldenbourg Wissenschaftsverlag GmbH, München, 2010. BibTeX
  5. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation. M. Griebel and J. Hamaekers. Zeitschrift für Physikalische Chemie, 224:527–543, 2010. Also available as INS Preprint no 0911. BibTeX PDF
  6. A finite element method for density estimation with Gaussian priors. M. Griebel and M. Hegland. SIAM Num ANAL, 47(6):4759–4792, 2010. Also available as SFB 611 Preprint no. 424. BibTeX PDF DOI
  7. Dimension-wise integration of high-dimensional functions with applications to finance. M. Griebel and M. Holtz. J. Complexity, 26:455–489, 2010. Also available as INS Preprint 0809. BibTeX PDF
  8. Homogenisation and numerical simulation of flow in geometries with textile microstructures. M. Griebel and M. Klitz. SIAM MMS, 2010. Also available as SFB611 preprint no 404 / 2008. BibTeX PDF DOI Link
  9. The smoothing effect of the ANOVA decomposition. M. Griebel, F. Y. Kuo, and I. H. Sloan. J. Complexity, 26:523–551, 2010. BibTeX PDF
  10. A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations . M. Griebel and P. Zaspel. Computer Science - Research and Development, 25(1–2):65–73, may 2010. BibTeX PDF DOI
  11. Treatment of General Domains in two Space Dimensions in a Partition of Unity Method. M. A. Schweitzer and M. Randrianarivony. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations V, volume 79 of Lecture Notes in Computational Science and Engineering, pages 27–50. Springer, 2010. BibTeX
  12. Feasible and successful: genome-wide interaction analysis (GWIA) involving all 1.9×10111.9 \times 10^{11} pair-wise interaction tests. M. Steffens, T. Becker, T. Sander, R. Fimmers, C. Herold, D. Holler, C. Leu, S. Herms, S. Cichon, B. Bohn, T. Gerstner, M. Griebel, M. Nöthen, T. Wienker, and M. Baur. Human Heredity, 69:268–284, 2010. BibTeX Link

2009

  1. Homogenisation and Numerical Simulation of Flow Problems in Geometries with Textile Microstructures, Mathematisches Forschungsinstitut Oberwolfach, 2009. M. Klitz, M. Griebel, B. Verleye, D. Roose, and S. V. Lomov, editors. BibTeX DOI
  2. Institute for Numerical Simulation, Report on the First Five Years. J. Adelsberger, M. Griebel, and M. A. Schweitzer, editors. Institute for Numerical Simulation, University of Bonn, Germany, 2009. BibTeX Contact
  3. Biomolecules as soft matter surfaces. A. M. Bittner, F. Heber, and J. Hamaekers. Surface Science, 603:1922–1925, 2009. BibTeX DOI
  4. On a constructive proof of Kolmogorov's superposition theorem. J. Braun and M. Griebel. Constructive Approximation, 30:653, 2009. Also available as SFB611 preprint no 342 / 2007. BibTeX PDF DOI
  5. Discrete and continuous adjoint approaches to estimate boundary heat fluxes in falling films. H. M. Bücker, J. Willkomm, S. Groß, and O. Fortmeier. Optimization Methods and Software, 2009. BibTeX DOI
  6. Numerical simulation of bubble and droplet-deformation by a level set approach with surface tension in three dimensions. R. Croce, M. Griebel, and M. A. Schweitzer. International Journal for Numerical Methods in Fluids, 62(9):963–993, 2009. Also available as SFB 611 Preprint no 431. BibTeX PDF DOI
  7. Principal manifold learning by sparse grids. Chr. Feuersänger and M. Griebel. Computing, 2009. Also available as INS Preprint no 0801. BibTeX PDF DOI
  8. Data Mining for the category management in the retail market. J. Garcke, M. Griebel, and M. Thess. Preprint, Institut für Numerische Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, 2009. BibTeX PDF
  9. Data-Mining für die Angebotsoptimierung im Handel. J. Garcke, M. Griebel, and M. Thess. In M. Grötschel, K. Lucas, and V. Mehrmann, editors, Produktionsfaktor Mathematik, pages 111–123. acatech, Springer, Berlin, Heidelberg, 2009. BibTeX PDF
  10. Efficient deterministic numerical simulation of stochastic asset-liability management models in life insurance. T. Gerstner, M. Griebel, and M. Holtz. Insurance: Math. Economics, 44:434–446, 2009. BibTeX PDF
  11. A molecular dynamics study on the impact of defects and functionalization on the Young modulus of boron-nitride nanotubes. M. Griebel, J. Hamaekers, and F. Heber. Computational Materials Science, 45(4):1097–1103, 2009. BibTeX PDF
  12. A molecular dynamics study on fullerene–implanted carbon nanotori as electronmagnetic sensing and emitting devices. M. Griebel and F. Heber. INS Preprint no 0912, 2009. BibTeX PDF
  13. Optimized general sparse grid approximation spaces for operator equations. M. Griebel and S. Knapek. Mathematics of Computations, 78(268):2223–2257, oct 2009. Also available as SFB611 preprint No 402. BibTeX PostScript PDF Link
  14. Towards the use of integral radar volume descriptors for quantitative areal precipitation estimation - results from pseudo-radar observations. S. Trömel, C. Simmer, J. Braun, T. Gerstner, and M. Griebel. Journal of Atmospheric and Oceanic Technology, 26(9):1798–1813, 2009. BibTeX PDF DOI arXiv

2008

  1. Numerical simulation of droplet-deformation by a level set approach with surface tension. R. Croce, M. Griebel, and M. A. Schweitzer. Preprint 395, Sonderforschungsbereich 611, Universität Bonn, Bonn, Germany, 2008. BibTeX PDF
  2. A general asset-liability management model for the efficient simulation of portfolios of life insurance policies. T. Gerstner, M. Griebel, M. Holtz, R. Goschnick, and M. Haep. Insurance: Math. Economics, 42(2):704–716, 2008. BibTeX PDF
  3. Numerical simulation for asset-liability management in life insurance. T. Gerstner, M. Griebel, M. Holtz, R. Goschnick, and M. Haep. In H.-J. Krebs and W. Jäger, editors, Mathematics – Key Technology for the Future, Part 6, pages 319–341. Springer, 2008. BibTeX PDF
  4. Valuation of performance-dependent options. T. Gerstner and M. Holtz. Applied Mathematical Finance, 15(1):1–20, 2008. BibTeX PDF
  5. BOSSANOVA: A bond order dissection approach for efficient electronic structure calculations. M. Griebel, J. Hamaekers, and F. Heber. INS Preprint 0704, Institut für Numerische Simulation, Universität Bonn, 2008. BibTeX PDF
  6. The BGY3dM model for the approximation of solvent densities. M. Griebel and L. Jager. J. Chem. Phys., 129(17):174511, 2008. Copyright 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. A preprint is also available as SFB 611 Preprint No. 403. BibTeX Preprint PDF DOI
  7. Meshfree Methods for Partial Differential Equations IV. M. Griebel and M. A. Schweitzer, editors. Volume 65 of Lecture Notes in Computational Science and Engineering. Springer, 2008. BibTeX
  8. A molecular dynamics study of the aluminosilicate chains structure in Al-rich calcium silicate hydrated (C-S-H) gels. H. Manzano, J. Dolado, M. Griebel, and J. Hamaekers. physica status solidi (a) - applications and materials science, 205(6):1324–1329, 2008. Also as INS Preprint No. 0707. BibTeX PDF DOI
  9. Permeability of textile reinforcements: simulation, influence of shear, validation. B. Verleye, R. Croce, M. Griebel, M. Klitz, S.V. Lomov, G. Morren, H. Sol, I. Verpoest, and D. Roose. In Composites science and technology, volume 68, 2804–2810. Elsevier Applied Science Publishers, oct 2008. BibTeX PDF
  10. Permeability of textile reinforcements:simulation; influence of shear, nesting and boundary conditions; validation. B. Verleye, R. Croce, M. Griebel, M. Klitz, S.V. Lomov, G. Morren, H. Sol, I. Verpoest, and D. Roose. In Proceedings of the 9th International Conference on Flow Processes in Composite Materials, volume 9. Québec, 2008. International Conference on Flow Processes in Composite Materials edition. BibTeX PDF
  11. Coarse grid classification: AMG on parallel computers. Michael Griebel, Bram Metsch, and Marc Alexander Schweitzer. In Gernot Münster, Dietrich Wolf, and Manfred Kremer, editors, NIC Symposium 2008, volume 39 of NIC Series, 299–306. February 2008. Also available as SFB 611 preprint No. 368, Universität Bonn, 2008. BibTeX PDF

2007

  1. A molecular dynamics study of cementitious silicate hydrate (C-S-H) gels. J. S. Dolado, M. Griebel, and J. Hamaekers. Journal of the American Ceramic Society, 90(12):3938–3942, 2007. Also as INS Preprint No. 0701. BibTeX PostScript PDF
  2. The effective dimension of asset-liability management problems in life insurance. T. Gerstner, M. Griebel, and M. Holtz. In C. Fernandes, H. Schmidli, and N. Kolev, editors, Proc. Third Brazilian Conference on Statistical Modelling in Insurance and Finance, 148–153. 2007. BibTeX PDF
  3. Molecular dynamics simulations of boron-nitride nanotubes embedded in amorphous Si-B-N. M. Griebel and J. Hamaekers. Computational Materials Science, 39(3):502–517, 2007. Also as INS Preprint No. 0501. BibTeX PostScript PDF
  4. Sparse grids for the Schrödinger equation. M. Griebel and J. Hamaekers. Mathematical Modelling and Numerical Analysis, 41(2):215–247, 2007. Special issue on Molecular Modelling. Also as INS Preprint No. 0504. BibTeX PostScript PDF
  5. Numerical Simulation in Molecular Dynamics. M. Griebel, S. Knapek, and G. Zumbusch. Springer, Berlin, Heidelberg, 2007. BibTeX Springer
  6. A sparse grid space-time discretization scheme for parabolic problems. M. Griebel and D. Oeltz. Computing, 81(1):1–34, 2007. BibTeX PostScript
  7. Robust norm equivalencies for diffusion problems. M. Griebel, K. Scherer, and M. A. Schweitzer. Math. Comput., 76():1141–1161, 2007. BibTeX PDF Link
  8. Variational problems in machine learning and their solution with finite elements. M. Hegland and M. Griebel. In W. Read and A. J. Roberts, editors, Proceedings of the 13th Biennial Computational Techniques and Applications Conference, CTAC-2006, volume 48 of ANZIAM J., C364–C379. 2007. BibTeX PDF Publisher
  9. B-spline-based monotone multigrid methods. M. Holtz and A. Kunoth. SIAM J. Numer. Anal., 45(3):1175–1199, 2007. Also as SFB 611 preprint No. 0252, 2005. BibTeX PDF
  10. Finite difference computation of the permeability of textile reinforcements with a fast Stokes solver and new validation examples. B. Verleye, R. Croce, M. Griebel, M. Klitz, S. Lomov, I. Verpoest, and D. Roose. In E. Cueto and F. Chinesta, editors, AIP Conference Proceedings, volume 907, 945–950. 2007. BibTeX PDF
  11. Computation of the permeability of textiles with experimental validation for monofilament and non crimp fabrics. B. Verleye, M. Klitz, R. Croce, D. Roose, S.V. Lomov, and I. Verpoest. In Computational Textile, volume 55 of Studies in Computational Intelligence, chapter 6, pages 93–110. Springer Berlin / Heidelberg, may 2007. BibTeX PDF DOI

2006

  1. Meshfree Methods for Partial Differential Equations III, volume 57 of Lecture Notes in Computational Science and Engineering, Springer, 2006. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. Martensitic transformation in NiMnGa single crystals: numerical simulation and experiments. M. Arndt, M. Griebel, V. Novák, T. Roubíček, and P. Šittner. International Journal of Plasticity, 22(10):1943–1961, 2006. BibTeX PostScript PDF Link
  3. Computing light masks in neutral atom lithography. J. Braun, C. Burstedde, and A. Kunoth. Journal of Computational Physics, 220(1):422–440, 2006. BibTeX PDF
  4. Flow simulation on moving boundary-fitted grids and application to fluid-structure interaction problems. M. Engel and M. Griebel. International Journal for Numerical Methods in Fluids, 50(4):437–468, 2006. Also as Preprint No. 156, SFB 611, Universität Bonn. BibTeX Preprint
  5. Curriculum vitae of Friedrich Ludwig Bauer. H. Fassbender, M. Griebel, O. Holtz, G.W. Stewart, and C. Zenger. Linear Algebra and its Applications, 417(2-3, SI):299–300, 2006. BibTeX DOI
  6. Geometric tools for the valuation of performance-dependent options. T. Gerstner and M. Holtz. In M. Costantino and C.A. Brebbia, editors, Computational Finance and its Application II, 161–170. London, 2006. WIT Press. BibTeX PDF
  7. Sparse grids and related approximation schemes for higher dimensional problems. M. Griebel. In L. Pardo, A. Pinkus, E. Suli, and M.J. Todd, editors, Foundations of Computational Mathematics (FoCM05), Santander, 106–161. Cambridge University Press, 2006. BibTeX PDF
  8. A wavelet based sparse grid method for the electronic Schrödinger equation. M. Griebel and J. Hamaekers. In M. Sanz-Solé, J. Soria, J. Varona, and J. Verdera, editors, Proceedings of the International Congress of Mathematicians, volume III, 1473–1506. Madrid, Spain, August 22–30 2006. European Mathematical Society. Also as INS Preprint No. 0603. BibTeX PDF
  9. Molecular dynamics simulations of the mechanical properties of polyethylene-carbon nanotube composites. M. Griebel and J. Hamaekers. In M. Rieth and W. Schommers, editors, Handbook of Theoretical and Computational Nanotechnology, volume 9, chapter 8, pages 409–454. American Scientific Publishers, 2006. BibTeX PostScript PDF Link
  10. A particle-partition of unity method—Part VII: Adaptivity. M. Griebel and M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations III, volume 57 of Lecture Notes in Computational Science and Engineering. Springer, 2006. BibTeX PostScript PDF
  11. Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods. M. Griebel, B. Metsch, D. Oeltz, and M. A. Schweitzer. Numerical Linear Algebra with Applications, 13(2–3):193–214, 2006. Also available as SFB 611 preprint No. 225, Universität Bonn, 2005. BibTeX PostScript PDF
  12. Coarse grid classification–Part II: automatic coarse grid agglomeration for parallel AMG. M. Griebel, B. Metsch, and M. A. Schweitzer. Preprint 271, Sonderforschungsbereich 611, Universität Bonn, 2006. BibTeX PostScript PDF
  13. On the optimal convergence rate of universal and non-universal algorithms for multivariate integration and approximation. M. Griebel and H. Wozniakowski. Mathematics of Computation, 75(255):1259–1286, 2006. BibTeX PostScript PDF
  14. A parallel 3D free surface navier-stokes solver for high performance computing at the german waterways administration. J. Strybny, C. Thorenz, R. Croce, and M. Engel. In The 7th Int. Conf. on Hydroscience and Engineering (ICHE-2006). Philadelphia, USA, September 2006. BibTeX PDF
  15. Predicting the permeability of textile reinforcements via a hybrid Navier-Stokes/Brinkman solver. B. Verleye, M. Klitz, R. Croce, M. Griebel, S.V. Lomov, D. Roose, and I. Verpoest. In Binetruy, editor, Proceedings of the 8th International Conference on Flow Processes in Composite Materials (FPCM-8), 65–72. Ecole des Mines de Douai, Douai, 2006. BibTeX PDF
  16. Computation of the permeability of textiles. B. Verleye, M. Klitz, R. Croce, D. Roose, S.V. Lomov, and I. Verpoest. Preprint 269, Sonderforschungsbereich 611, Rheinische Friedrich-Wilhelms-Universität Bonn, apr 2006. Also available as Report TW 455, K.U. Leuven, Department of Computer Science. BibTeX PDF

2005

  1. Meshfree Methods for Partial Differential Equations II, volume 43 of Lecture Notes in Computational Science and Engineering, Springer, 2005. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. Interaktive Visualisierung von globalen Höhendaten unter Verwendung verbesserter Bounding Shapes. J. Adelsberger. Technical Report, Institut für Numerische Simulation, Universität Bonn, 2005. BibTeX PDF
  3. Derivation of higher order gradient continuum models from atomistic models for crystalline solids. M. Arndt and M. Griebel. Multiscale Modeling and Simulation, 4(2):531–562, 2005. Also as Preprint No. 152, SFB 611, University of Bonn. BibTeX PDF
  4. Semi-supervised learning with sparse grids. J. Garcke and M. Griebel. In M.-R. Amini, O. Chapelle, and R. Ghani, editors, Proceedings of ICML, Workshop on Learning with Partially Classified Training Data, 19–28. 2005. BibTeX PostScript PDF
  5. Molecular dynamics simulations of the influence of chemical cross-links on the elastic moduli of polymer-carbon nanotube composites. M. Griebel, J. Hamaekers, and R. Wildenhues. In J. Sanchez, editor, Proceedings 1st Nanoc-Workshop. LABEIN, Bilbao, Spain, 2005. Also as INS Preprint No. 0503. BibTeX PDF
  6. Computing diffusion coefficients of intrinsic point defects by atomistic simulations. M. Griebel, L. Jager, and A. Voigt. Technical Report, Institute for Numerical Simulation, University of Bonn, 2005. BibTeX PostScript PDF
  7. A particle-partition of unity method—Part VI: A pp-robust multilevel solver. M. Griebel, P. Oswald, and M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations II, volume 43 of Lecture Notes in Computational Science and Engineering, 71–92. Springer, 2005. BibTeX PostScript PDF
  8. Particle-partition of unity methods in elasticity. M. Griebel and M. A. Schweitzer. In Proceedings of the International Conference on Computational Methods. Springer, 2005. BibTeX PostScript PDF
  9. Space-time approximation with sparse grids. M. Griebel, D. Oeltz, and P. Vassilevski. SIAM J. Sci. Comput., 28(2):701–727, 2005. Also as Preprint No. 222, SFB 611, University of Bonn. BibTeX PDF
  10. B-spline based monotone multigrid methods, with an application to the pricing of American options. M. Holtz and A. Kunoth. In P. Wesseling, C.W. Oosterlee, and P. Hemker, editors, Multigrid, Multilevel and Multiscale Methods, volume of Proc. EMG. 2005. Also as SFB 611 preprint No. 0289, 2006. BibTeX PDF
  11. Computation of permeability of textile reinforcements. B. Verleye, M. Klitz, R. Croce, D. Roose, S. Lomov, and I. Verpoest. In Proceedings of the 17th IMACS World Congress, Paris, France. 2005. Also as Preprint No. 228, SFB 611, University of Bonn. BibTeX PDF

2004

  1. Upscaling technique for the atomistic-continuum simulation of shape memory alloys with the EAM potential. M. Arndt. In Proceedings of the Sixth World Congress on Computational Mechanics (WCCM VI), Beijing, China. Tsinghua University Press & Springer, 2004. BibTeX PostScript PDF
  2. Higher order gradient continuum description of atomistic models for crystalline solids. M. Arndt and M. Griebel. In P. Neittaanmäki and others, editors, Proceedings of the Fourth European Congress on Computational Methods in Applied Sciences and Engineering, Jyväskylä, Finland. 2004. BibTeX PostScript PDF
  3. Introduction to Computer Graphics. H.-J. Bungartz, M. Griebel, and C. Zenger. Charles River Media, Hingham, Massachusetts, 2004. BibTeX
  4. Sparse grids. H.-J. Bungartz and M. Griebel. Acta Numerica, 13:147–269, 2004. BibTeX PDF
  5. Feature sensitive multiscale editing on surfaces. U. Clarenz, M. Griebel, M. Rumpf, M. Schweitzer, and A. Telea. The Visual Computer, pages 329–343, 2004. Also as Preprint No. 89, SFB 611, Universität Bonn, Germany. BibTeX PostScript PDF
  6. A parallel level-set approach for two-phase flow problems with surface tension in three space dimensions. R. Croce, M. Griebel, and M. A. Schweitzer. Preprint 157, Sonderforschungsbereich 611, Universität Bonn, 2004. BibTeX PDF
  7. Molecular dynamics of mechanical properties of boron-nitride nanotubes embedded in Si-B-N ceramics. M. Griebel and J. Hamaekers. In N. M. Ghoniem, editor, Conference Proceedings, Second International Conference on Multiscale Materials Modeling, 51–55. Mechanical and Aerospace Engineering Department, University of California Los Angeles, October 11–15 2004. BibTeX PostScript PDF
  8. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. M. Griebel and J. Hamaekers. Computer Methods in Applied Mechanics and Engineering, 193(17–20):1773–1788, 2004. BibTeX PostScript PDF
  9. Predicting material parameters for intrinsic point defect diffusion in silicon crystal growth. M. Griebel, L. Jager, and A. Voigt. Solid State Phenomena, 95-96:35–40, 2004. BibTeX PDF
  10. Flow field clustering via algebraic multigrid. M. Griebel, T. Preusser, M. Rumpf, M. A. Schweitzer, and A. Telea. In Proceedings of the IEEE Visualization 2004, 35–42. 2004. BibTeX PDF
  11. Robust norm equivalencies and optimal preconditioners for diffusion problems. M. Griebel, K. Scherer, and M. A. Schweitzer. Preprint 154, Sonderforschungsbereich 611, Universität Bonn, 2004. BibTeX PDF
  12. The computation of American option price sensitivities using a monotone multigrid method for higher order B-spline discretizations. M. Holtz. Working paper., 2004. BibTeX PDF

2003

  1. Polymer and Cell Dynamics. W. Alt, M. Chaplain, M. Griebel, and J. Lenz, editors. Mathematics and Biosciences in Interaction. Birkhäuser-Verlag, 2003. BibTeX Publisher
  2. Modelling and numerical simulation of martensitic transformation. M. Arndt. In W. L. Wendland and M. Efendiev, editors, Analysis and Simulation of Multifield Problems, volume 12 of Lecture Notes in Applied and Computational Mechanics, 59–65. Springer, 2003. BibTeX
  3. Modelling and numerical simulation of martensitic transformation in shape memory alloys. M. Arndt, M. Griebel, and T. Roubíček. Continuum Mechanics and Thermodynamics, 15(5):463–485, 2003. Also as Preprint No. 26, SFB 611, University of Bonn. BibTeX PostScript PDF
  4. Springer Texts in Computational Science and Engineering. T. Barth, M. Griebel, D. Keyes, R. Niemienen, D. Roose, and T. Schlick, editors. Springer Verlag, 2003-. BibTeX Publisher
  5. Atomic nanofabrication with complex light fields. J. Braun, M. Mützel, U. Rasbach, D. Meschede, C. Burstedde, A. Kunoth, K. Peithmann, and K. Buse. Appl. Phys. B, 77(1):1–9, 2003. BibTeX DOI
  6. Top-down view-dependent terrain triangulation using the octagon metric. T. Gerstner. Technical Report, Institut für Angewante Mathematik, 2003. BibTeX PDF
  7. Dimension–adaptive tensor–product quadrature. T. Gerstner and M. Griebel. Computing, 71(1):65–87, 2003. BibTeX PDF
  8. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. M. Griebel and J. Hamaekers. In D. Hui, editor, ICCE-10, 213–214. College of Engineering, University of New Orleans, July 20–26 2003. International Community for Composites Engineering. BibTeX PostScript PDF
  9. Computing diffusion coefficients of intrinsic point defects in crystalline silicon. M. Griebel, L. Jager, and A. Voigt. In D. Hui, editor, ICCE-10, 487–488. College of Engineering, University of New Orleans, July 20–26 2003. International Community for Composites Engineering. BibTeX PostScript PDF
  10. Numerische Simulation in der Moleküldynamik. Numerik, Algorithmen, Parallelisierung, Anwendungen. M. Griebel, S. Knapek, G. Zumbusch, and A. Caglar. Springer, Berlin, Heidelberg, 2003. BibTeX Link
  11. Multiscale methods for the simulation of turbulent flows. M. Griebel and F. Koster. In E.H. Hirschel, editor, Numerical Flow Simulation III, volume 82 of Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 203–214. Springer-Verlag, 2003. BibTeX PostScript
  12. An algebraic multigrid method for linear elasticity. M. Griebel, D. Oeltz, and M. A. Schweitzer. SIAM J. Sci. Comp., 25(2):385–407, 2003. BibTeX PostScript PDF
  13. Parallel Multilevel Methods. Adaptive Mesh Refinement and Loadbalancing. G. Zumbusch. Teubner, 2003. BibTeX Link

2002

  1. Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering, Springer, 2002. M. Griebel and M. A. Schweitzer, editors. BibTeX Publisher
  2. Numerische Mathematik. F. Brezzi, T. F. Chan, and M. Griebel, editors. Springer Verlag, 2002-. BibTeX Publisher
  3. Molecular simulation of the influence of chemical crosslinks on the shear strength of carbon nanotube-polymer interfaces. S. J. V. Frankland, A. Caglar, D. W. Brenner, and M. Griebel. Journal of Physical Chemistry B, 106(12):3046–3048, 2002. BibTeX
  4. Classification with sparse grids using simplicial basis functions. J. Garcke and M. Griebel. Intelligent Data Analysis, 6(6):483–502, 2002. (shortened version appeared in KDD 2001, Proc. of the Seventh ACM SIGKDD, F. Provost and R. Srikant (eds.), 87-96, ACM, 2001). BibTeX PostScript PDF Publisher
  5. A case study on multiresolution visualization of local rainfall from weather radar measurements. T. Gerstner, D. Meetschen, S. Crewell, M. Griebel, and C. Simmer. In H. Pfister and M. Bailey, editors, Proceedings IEEE Visualization 2002, 533–536. IEEE Computer Society Press, 2002. (also as SFB 256 report 45, University of Bonn, 2001). BibTeX PDF
  6. Es ist nicht ganz klar, dass es nicht geht. M. Griebel. In Numerische Simulation als interdisziplinäre Herausforderung, Beiträge zum 60. Geburtstag von Christoph Zenger, volume 3 of Texte, die die Wissenschaft nicht braucht. Springer, 2002. BibTeX PostScript
  7. A particle-partition of unity method—Part II: Efficient cover construction and reliable integration. M. Griebel and M. A. Schweitzer. SIAM J. Sci. Comp., 23(5):1655–1682, 2002. BibTeX PostScript PDF
  8. A particle-partition of unity method—Part III: A multilevel solver. M. Griebel and M. A. Schweitzer. SIAM J. Sci. Comp., 24(2):377–409, 2002. BibTeX PostScript PDF
  9. A particle-partition of unity method—Part IV: Parallelization. M. Griebel and M. A. Schweitzer. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering, 161–192. Springer, 2002. BibTeX PostScript PDF
  10. A particle-partition of unity method—Part V: Boundary conditions. M. Griebel and M. A. Schweitzer. In S. Hildebrandt and H. Karcher, editors, Geometric Analysis and Nonlinear Partial Differential Equations, pages 517–540. Springer, 2002. BibTeX PostScript PDF
  11. Hash based adaptive parallel multilevel methods with space-filling curves. M. Griebel and G. Zumbusch. In H. Rollnik and D. Wolf, editors, NIC Symposium 2001, volume 9 of NIC Series, ISBN 3-00-009055-X, 479–492. Germany, 2002. Forschungszentrum Jülich. BibTeX PostScript PDF
  12. Integral operators on sparse grids. S. Knapek and F. Koster. SIAM J. Num. Anal., 39(5):1794–1809, 2002. BibTeX PostScript

2001

  1. Tracermessungen zur Validierung von Geruchsmodellen. P. Boeker, M. Wittkowski, O. Wallenfang, F. Koster, M. Griebel, B. Diekmann, and P. Schulze-Lammers. Landtechnik, 56(2):90–91, 2001. BibTeX DOI
  2. Tracerverfahren zur Validierung von Ausbreitungsmodellen für Geruchsemissionen. P. Boeker, M. Wittkowski, O. Wallenfang, F. Koster, R. Croce, M. Griebel, B. Diekmann, and P. Schulze-Lammers. In Tagungsband zur 5. Internationalen Tagung „Bau, Technik und Umwelt in der landwirtschaftlichen Nutztierhaltung“, 92–97. 2001. BibTeX PDF
  3. Data mining with sparse grids using simplicial basis functions. J. Garcke and M. Griebel. In F. Provost and R. Srikant, editors, Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, USA, 87–96. 2001. also as SFB 256 Preprint 713, Universität Bonn, 2001. BibTeX PostScript PDF DOI
  4. On the parallelization of the sparse grid approach for data mining. J. Garcke and M. Griebel. In S. Margenov, J. Wasniewski, and P. Yalamov, editors, Large-Scale Scientific Computations, Third International Conference, LSSC 2001, Sozopol, Bulgaria, volume 2179 of Lecture Notes in Computer Science, 22–32. Springer, 2001. also as SFB 256 Preprint 721, Universität Bonn, 2001. BibTeX PostScript PDF
  5. Data mining with sparse grids. J. Garcke, M. Griebel, and M. Thess. Computing, 67(3):225–253, 2001. also as SFB 256 Preprint 675, Institut für Angewandte Mathematik, Universität Bonn, 2000. BibTeX PostScript Publisher Publisher
  6. Generalized hierarchical basis multigrid methods for convection-diffusion problems. M. Griebel and F. Kiefer. SFB Preprint 720, Sonderforschungsbereich 256, Institut für Angewandte Mathematik, Universität Bonn, 2001. BibTeX PostScript
  7. Zeitauflösendes Ausbreitungsmodell für Geruchsemissionen. O. Wallenfang, P. Boeker, F. Koster, R. Croce, M. Griebel, B. Diekmann, and P. Schulze-Lammers. In Proceedings: 5. Int. Tagung Bau, Technik und Umwelt, 86–91. Hohenheim, 2001. BibTeX

2000

  1. The modelling of odour dispersion with time-resolved models. P. Boeker, O. Wallenfang, F. Koster, R. Croce, B. Diekmann, M. Griebel, and P. Schulze-Lammers. Agrartechnische Forschung, 6(4):E84–E89, 2000. BibTeX PDF
  2. On the numerical simulation of Fullerene nanotubes: C100.000.000C_{100.000.000} and beyond! A. Caglar and M. Griebel. In R. Esser, P. Grassberger, J. Grotendorst, and M. Lewerenz, editors, Molecular Dynamics on Parallel Computers, NIC, Jülich 8-10 February 1999. World Scientific, 2000. BibTeX PostScript
  3. Reinforcement mechanisms in polymer nanotube composites: simulated non-bonded and cross-linked systems. S. J. V. Frankland, A. Caglar, D. W. Brenner, and M. Griebel. In Proceedings of the MRS Fall Meeting. 2000. BibTeX PostScript
  4. On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique. J. Garcke and M. Griebel. Journal of Computational Physics, 165(2):694–716, 2000. also as SFB 256 Preprint 670, Institut für Angewandte Mathematik, Universität Bonn, 2000. BibTeX PostScript PDF DOI
  5. Vorgänge möglichst realitätsnah simulieren. Wissenschaftliches Rechnen als neue Dimension in der Forschung. M. Griebel, F. Kiefer, and G. Zumbusch. Bonner Universitätsnachrichten, 217:48–49, January 2000. also as `Simulating Processes as Realistically as Possible', Bonn University News International (BUNI), 7:28–29, November 2000. BibTeX Link
  6. Optimized tensor-product approximation spaces. M. Griebel and S. Knapek. Constructive Approximation, 16(4):525–540, 2000. BibTeX PostScript
  7. Adaptive wavelet solvers for the unsteady incompressible Navier Stokes equations. M. Griebel and F. Koster. In J. Malek, J. Necas, and M. Rokyta, editors, Advances in Mathematical Fluid Mechanics, Lecture Notes of the Sixth International School ”Mathematical Theory in Fluid Mechanics”, Paseky, Czech Republic, September 1999. Springer Verlag, 2000. BibTeX PostScript
  8. A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDE. M. Griebel and M. A. Schweitzer. SIAM J. Sci. Comp., 22(3):853–890, 2000. also as SFB Preprint 600, SFB 256, Institut für Angewandte Mathematik, Universität Bonn. BibTeX PostScript
  9. Parallel adaptive subspace correction schemes with applications to elasticity. M. Griebel and G. W. Zumbusch. Computer Methods in Applied Mechanics and Engineering, 184:303–332, 2000. BibTeX PostScript PDF
  10. Preface. M. Griebel and G. W. Zumbusch. Computing, 64(4):287, 2000. (guest editors) special issue multigrid methods. BibTeX
  11. Tensor products of Sobolev spaces and applications. R. Hochmuth, S. Knapek, and G. Zumbusch. Technical Report 685, SFB 256, Univ. Bonn, 2000. BibTeX PostScript PDF
  12. Hyperbolic cross approximation of integral operators with smooth kernel. S. Knapek. Technical Report 665, SFB 256, Univ. Bonn, 2000. BibTeX PostScript
  13. Adaptive wavelet methods for the Navier-Stokes equations. F. Koster, K. Schneider, M. Griebel, and M. Farge. In E.H. Hirschel, editor, DFG/CNRS Workshop, Berlin, 1999, Notes on Numerical Fluid Mechanics. Vieweg-Verlag, Braunschweig, 2000. BibTeX PostScript

1999

  1. A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives. H.-J. Bungartz and M. Griebel. J. Complexity, 15:167–199, 1999. also as Report No 524, SFB 256, Univ. Bonn, 1997. BibTeX PostScript
  2. Dynamic load-balancing of hierarchical tree algorithms on a cluster of multiprocessor PCs and on the Cray T3E. A. Caglar, M. Griebel, M. A. Schweitzer, and G. Zumbusch. In H. W. Meuer, editor, Proceedings 14th Supercomputer Conference, Mannheim, ISBN 3-932178-08-4. Mannheim, Germany, 1999. Mateo. SuParCup '99 Award Winning Paper, also as SFB 256 report 27. BibTeX PostScript PDF
  3. Optimized approximation spaces for operator equations. M. Griebel and S. Knapek. Technical Report 568, SFB 256, Univ. Bonn, 1999. BibTeX PDF
  4. Mathematical modelling and numerical simulation of freezing processes of a supercooled melt under consideration of density changes. M. Griebel, W. Merz, and T. Neunhoeffer. Computing and Visualization in Science, 3:1–19, 1999. also as Report No 513, SFB 256, Univ. Bonn, 1997. BibTeX PostScript
  5. Sparse grids for boundary integral equations. M. Griebel, P. Oswald, and T. Schiekofer. Numer. Mathematik, 83(2):279–312, 1999. also as SFB 256 report 554, Universität Bonn. BibTeX PostScript
  6. An adaptive sparse grid Navier-Stokes solver in 3D based on finite differences. M. Griebel and T. Schiekofer. In H.G. Bock, G. Kanschat, R. Rannacher, F. Brezzi, R. Glowinski, Y.A. Kuznetsov, and J. Periaux, editors, Proceedings ENUMATH97. Heidelberg, 1999. World Scientific Publishing. BibTeX PostScript
  7. PAR-CVD: Entwicklung leistungsfähiger paralleler Berechnungsverfahren zur Untersuchung und Optimierung von CVD-Prozessen, chapter 7, Effiziente Algorithmen auf dünnen Gittern, pages 53–96. M. Griebel and T. Schiekofer. Berichte aus der Strömungsmechanik. Shaker, Aachen, 1999, L. Kadinski (ed.). BibTeX
  8. Adaptive sparse grids for hyperbolic conservation laws. M. Griebel and G. W. Zumbusch. In M. Fey and R. Jeltsch, editors, Hyperbolic Problems: Theory, Numerics, Applications. 7th International Conference in Zürich, February 1998, volume 1 of International Series of Numerical Mathematics 129, 411–422. Basel, Switzerland, 1999. Birkhäuser. BibTeX PostScript PDF
  9. Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. M. Griebel and G. W. Zumbusch. Parallel Computing, 25:827–843, 1999. BibTeX PostScript PDF
  10. Matrix-dependent multigrid homogenization for diffusion problems. S. Knapek. SIAM J. Sci. Comp., 20(2):515–533, 1999. BibTeX PostScript
  11. Parnass2: A cluster of dual-processor PCs. M. A. Schweitzer, G. W. Zumbusch, and M. Griebel. In W. Rehm and T. Ungerer, editors, Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe, number CSR-99-02 in Chemnitzer Informatik Berichte, 45–54. Chemnitz, Germany, 1999. TU Chemnitz. BibTeX PostScript PDF

1998

  1. Springer Lecture Notes in Computational Science and Engineering. T. Barth, M. Griebel, D. Keyes, R. Niemienen, D. Roose, and T. Schlick, editors. Springer Verlag, 1998-. BibTeX Publisher
  2. Numerical integration using sparse grids. T. Gerstner and M. Griebel. Numer. Algorithms, 18:209–232, 1998. (also as SFB 256 preprint 553, Univ. Bonn, 1998). BibTeX PostScript
  3. Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences. M. Griebel. Computing, 61(2):151–179, 1998. BibTeX PostScript PDF
  4. Numerical Simulation in Fluid Dynamics, a Practical Introduction. M. Griebel, T. Dornseifer, and T. Neunhoeffer. SIAM, Philadelphia, 1998. BibTeX Link
  5. Large-Scale Scientific Computations of Engineering and Environmental Problems. M. Griebel, O. Iliev, S. Margenov, and P. Vassilievski, editors. Notes on Numerical Fluid Mechanics 62. Vieweg-Verlag, Braunschweig, 1998. BibTeX
  6. Algebraic multigrid methods for the solution of the Navier-Stokes equations in complicated geometries. M. Griebel, T. Neunhoeffer, and H. Regler. Int. J. Numer. Meth. Fluids, 26:281–301, 1998. Also as SFB Bericht 342/1/96A, Institut für Informatik, TU München, 1996. BibTeX PostScript
  7. Hash-storage techniques for adaptive multilevel solvers and their domain decomposition parallelization. M. Griebel and G. W. Zumbusch. In J. Mandel, C. Farhat, and X.-C. Cai, editors, Proceedings of Domain Decomposition Methods 10, DD10 (1997), number 218 in Contemporary Mathematics, 271–278. Providence, Rhode Island, 1998. AMS. BibTeX PostScript PDF
  8. Parallel multigrid in an adaptive PDE solver based on hashing. M. Griebel and G. W. Zumbusch. In E. D'Hollander, G.R. Joubert, F.J. Peters, and U. Trottenberg, editors, Parallel Computing: Fundamentals, Applications and New Directions, number 12 in Advances in Parallel Computing, 589–600. Amsterdam, The Netherlands, 1998. Elsevier. Proceedings of ParCo 97, Bonn, Germany. BibTeX PostScript PDF
  9. Upscaling techniques based on subspace correction and coarse-grid approximation. S. Knapek. InSitu, 22(1):35–58, 1998. Special issue on reservoir simulation. BibTeX PostScript
  10. Orthogonal wavelets on the interval. F. Koster and M. Griebel. Technical Report No. 576, SFB 256, Universität Bonn, Germany, 1998. BibTeX PostScript
  11. Towards an adaptive wavelet-based 3D Navier-Stokes solver. F. Koster, M. Griebel, N. Kevlahan, M. Farge, and K. Schneider. In E.H. Hirschel, editor, Numerical flow simulation I, Notes on Numerical Fluid Mechanics, Vol. 66, 339–364. Vieweg-Verlag, Braunschweig, 1998. BibTeX PostScript

1997

  1. PAR-CVD: Entwicklung leistungsfähiger paralleler Berechnungsverfahren zur Untersuchung und Optimierung von CVD-Prozessen. M. Dauelsberg, F. Durst, L. Kadinski, Y. Makarov, G. Strauch, H. Jürgensen, T. Schiekofer, M. Griebel, A. Bode, P. Luksch, and M. May. In Proceedings der BMWF-Tagung HPSC97. München, 1997. also as Berichte aus der Strömungsmechnaik, Shaker Verlag, Aachen, 1999. BibTeX
  2. Additive multilevel-preconditioners based on bilinear interpolation, matrix dependent geometric coarsening and algebraic multigrid coarsening for second order elliptic pdes. T. Grauschopf, M. Griebel, and H. Regler. Applied Numerical Mathematics, 23(1):63–96, 1997. also as SFB-Bericht 342/02/96A Institut für Informatik, TU München, 1996. BibTeX PostScript Link
  3. A multigrid-homogenization method. M. Griebel and S. Knapek. In R. Helmig, W. Jäger, W. Kinzelbach, P. Knabner, and G. Wittum, editors, Modeling and Computation in Environmental Sciences, volume 59 of Notes on Numerical Fluid Mechanics, 187–202. Braunschweig, 1997. Vieweg-Verlag. BibTeX
  4. Multilevel preconditioning based on discrete symmetrization for convection-diffusion equations. M. Griebel and G. Starke. Journal of Computational and Applied Mathematics, 83:165–183, 1997. BibTeX
  5. Parnass: porting gigabit-LAN components to a workstation cluster. M. Griebel and G. W. Zumbusch. In W. Rehm, editor, Proceedings of the 1st Workshop Cluster-Computing, number CSR-97-05 in Chemnitzer Informatik Berichte, 101–124. Chemnitz, Germany, 1997. TU Chemnitz. also as Techn. Report No 19, SFB 256, Univ. Bonn. BibTeX PostScript PDF

1996

  1. A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation. H.-J. Bungartz, M. Griebel, D. Röschke, and C. Zenger. Math. Comp. in Simulation, 42:595–605, 1996. also in G. Jacob, N. Oussous and S. Steinberg, Editoren, IMACS Symposium on Symbolic Computation, Lille, Juni 1993. IMACS/Universite des Sciences et Technologies de Lille, Villeneuve d'Ascq, 1993 and as SFB Bericht, 342/4/93 A, Institut für Informatik, TU München, 1993. BibTeX
  2. Einführung in die Computergraphik: Grundlagen, Geometrische Modellierung, Algorithmen. H.-J. Bungartz, M. Griebel, and C. Zenger. Vieweg, Braunschweig, 1996. BibTeX Publisher
  3. Numerical turbulence simulation on a parallel computer using the combination method. M. Griebel, W. Huber, and C. Zenger. In E. H. Hirschel, editor, Flow Simulation with High-performance Computers, DFG-SPP, volume 52 of Notes Numer. Fluid Mech., pages 34–47. Vieweg, Wiesbaden, 1996. BibTeX
  4. Parallel point- and domain-oriented multilevel methods for elliptic pde's on workstation networks. M. Griebel and T. Neunhoeffer. J. Comp. Appl. Math., 66:267–278, 1996. BibTeX PostScript
  5. Quantenchemie auf Parallelrechnern, Zur Perspektive der Dichtefunktionaltheorie. N. Rösch, S. Krüger, M. Griebel, and C. Zenger. In Proceedings der BMWF-Tagung HPSC95, Aachen. 1996. BibTeX

1995

  1. Parallel domain-oriented multilevel methods. M. Griebel. SIAM Journal on Scientific Computing, 16(5):1105–1125, 1995. BibTeX PostScript
  2. Numerische Simulation in der Strömungsmechanik, eine praxisorientierte Einführung. M. Griebel, T. Dornseifer, and T. Neunhoeffer. Vieweg, Braunschweig, 1995. BibTeX
  3. Parallel turbulence simualtion on the IBM SP2 using a sparse grid method. M. Griebel and W. Huber. Technical Report, Contribution Sup'Prize 1995, Sup'Eur User Group Organization, 1995. BibTeX PostScript
  4. Turbulence simulation on sparse grids using the combination method. M. Griebel and W. Huber. In N. Satofuka, J. Periaux, and A. Ecer, editors, Parallel Computational Fluid Dynamics, New Algorithms and Applications, 75–84. North-Holland, Elsevier, 1995. BibTeX PostScript
  5. Results of benchmark computations for the DFG-SPP “flow simulations with high performace computers”. M. Griebel, R. Kreißl, M. Rykaschewski, and C. Zenger. Technical Report, DFG-SPP, 1995. BibTeX
  6. On the abstract theory of additive and multiplicative Schwarz algorithms. M. Griebel and P. Oswald. Numer. Math., 70:163–180, 1995. Also as SFB-Report 342/6/93 A, Institut für Informatik, Technische Universität München, 1993. BibTeX PostScript
  7. Tensor product type subspace splitting and multilevel iterative methods for anisotropic problems. M. Griebel and P. Oswald. Adv. Comput. Math., 4:171–206, 1995. also as SFB-Bericht 342/15/94A, Institut für Informatik, TU München, 1994. BibTeX PostScript
  8. The efficient solution of fluid dynamics problems by the combination technique. M. Griebel and V. Thurner. Int. J. Num. Meth. for Heat and Fluid Flow, 5(3):251–269, 1995. also as SFB Bericht 342/1/93 A, Institut für Informatik. TU München, 1993. BibTeX

1994

  1. Pointwise convergence of the combination technique for the Laplace equation. H.-J. Bungartz, M. Griebel, D. Röschke, and C. Zenger. East-West J. Numer. Math., 2:21–45, 1994. also as SFB-Bericht 342/16/93A, Institut für Informatik, TU München, 1993. BibTeX PostScript Link
  2. Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems. H.-J. Bungartz, M. Griebel, D. Röschke, and C. Zenger. In D. E. Keyes and J. Xu, editors, Domain Decomposition Methods in Scientific and Engineering Computing, DDM7, Contemp. Math. 180, pages 15–20. American Mathematical Society, Providence, 1994. BibTeX PostScript
  3. Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems. H.-J. Bungartz, M. Griebel, and U. Rüde. Comput. Methods Appl. Mech. Eng., 116:243–252, 1994. Auch in C. Bernardi and Y. Maday, Editoren, International conference on spectral and high order methods, ICOSAHOM 92. Elsevier, 1992, und als SFB Bericht, 342/10/92 A, Institut für Informatik, TU München, 1992. BibTeX PostScript
  4. Parallelization of a multigrid algorithm on the KSR1. T. Grauschopf and M. Griebel. In C. S. M. Brehm, editor, Overview of Research on the Parallel Computer SNI-KSR at the Leibnitz-Rechenzentrum München, LRZ Bericht 9401, pages 63–69. Leibniz-Rechenzentrum der Bayerischen Akademie der Wissenschaften, München, 1994. BibTeX
  5. A domain decomposition method using sparse grids. M. Griebel. In A. Quarteroni, editor, Contemporary Mathematics, Vol. 157, DDM6, 255–261. American Mathematical Society, 1994. BibTeX PostScript
  6. Domain-oriented multilevel methods. M. Griebel. In D. Keyes and J. Xu, editors, Contemporary Mathematics, Vol. 180, DDM7, 223–229. American Mathematical Society, 1994. BibTeX
  7. Multilevel algorithms considered as iterative methods on semidefinite systems. M. Griebel. SIAM Int. J. Sci. Stat. Comput., 15(3):547–565, 1994. BibTeX PostScript
  8. Multilevelmethoden als Iterationsverfahren über Erzeugendensystemen. M. Griebel. Teubner Skripten zur Numerik. Teubner, Stuttgart, 1994. BibTeX
  9. Parallel point-oriented multilevel methods. M. Griebel. In P. Hemker and P. Wesseling, editors, Multigrid Methods IV, International Series of Numerical Mathematics, EMG93, 215–232. Birkhäuser Verlag, 1994. BibTeX PostScript
  10. Turbulence simulation on sparse grids using the combination method. M. Griebel and W. Huber. Technical Report, SFB Bericht 342/19/94A, Institut für Informatik, TU München, 1994. BibTeX PostScript
  11. A domain-oriented multilevel algorithm – implementation and parallelization. M. Griebel and T. Neunhoeffer. Technical Report, SFB Bericht 342/18/94A, Institut für Informatik, TU München, 1994. BibTeX PostScript Link
  12. On additive Schwarz preconditioners for sparse grid discretizations. M. Griebel and P. Oswald. Numer. Math., 66:449–464, 1994. Also as Bericht Math/92/7, Institut für Angewandte Mathematik, Friedrich-Schiller-Universität Jena, 1992. BibTeX PostScript PDF Link
  13. Numerical Simulation in Science and Engineering, Proceedings of the FORTWIHR Symposium on High Performance Scientific Computing in Munich, June 17-18 1993. M. Griebel and C. Zenger, editors. Notes on Numerical Fluid Mechanics 48. Vieweg-Verlag, Braunschweig, 1994. BibTeX

1993

  1. The parallel ASMG algorithm for 3D Poisson-like equations on multi-workstations. U. Gärtel, M. Griebel, W. Huber, H. Schwichtenberg, T. Störtkuhl, U. Trottenberg, G. Winter, and C. Zenger. Technical Report, GMD St. Augustin, 1993. Arbeitpapiere der GMD 767. BibTeX
  2. Eine Kombinationstechnik für die Lösung von Dünn–Gitter–Problemen auf Multiprozessor–Maschinen. M. Griebel. In G. Bader, R. Rannacher, and G. Wittum, editors, Numerische Algorithmen auf Transputer-Systemen, Teubner Skripten zur Numerik, pages 67–79. Teubner, Stuttgart, 1993. BibTeX
  3. Grid- and point-oriented multilevel algorithms. M. Griebel. In W. Hackbusch and G. Wittum, editors, Incomplete Decompositions (ILU) - Algorithms, Theory, and Applications, Notes on Numerical Fluid Mechanics, volume 41, 32–46. Vieweg Verlag, Braunschweig, 1993. also as SFB Bericht, 342/14/92 A, Institut für Informatik, TU München, 1992. BibTeX PostScript
  4. Sparse grid multilevel methods, their parallelization, and their applications to CFD. M. Griebel. In J. Häuser, editor, Parallel Computational Fluid Dynamics 92, 161–174. New Brunswick, USA, Elsevier, 1993. BibTeX
  5. On the parallel solution of 3D PDEs on a network of workstations and on vector computers. M. Griebel, W. Huber, T. Störtkuhl, and C. Zenger. In A. Bode and M. D. Cin, editors, Lecture Notes in Computer Science 732, Parallel Computer Architectures: Theory, Hardware, Software, Applications, 276–291. Springer Verlag, 1993. BibTeX
  6. A fast Poisson solver for turbulence simulation on a parallel computers using sparse grids. M. Griebel, W. Huber, and C. Zenger. In E. H. Hirschel, editor, Flow Simulation with High-performance Computers I, volume 38 of Notes Numer. Fluid Mech., pages 101–113. Vieweg, 1993. BibTeX PostScript
  7. Remarks on the theory of additive and multiplicative Schwarz algorithms. M. Griebel and P. Oswald. SFB report 342/6/93A, Institut für Informatik, TU München, 1993. BibTeX PostScript
  8. Solving CFD-problems efficiently by the combination method. M. Griebel and V. Thurner. CFD-news, 3(4):19–31, 1993. BibTeX
  9. The efficient solution of fluid dynamics problems by the combination method. M. Griebel and V. Thurner. Int. J. Num. Meth. for Heat and Fluid Flow, 5:251–269, 1993. BibTeX
  10. Multilevel Gauß–Seidel–algorithms for full and sparse grid problems. M. Griebel, C. Zenger, and S. Zimmer. Computing, 50:127–148, 1993. BibTeX
  11. Adaptive point block methods. M. Griebel and S. Zimmer. In W. Hackbusch and G. Wittum, editors, Adaptive Methods: Algorithms, Theory and Applications, Notes on Numerical Fluid Mechanics, volume 46, 142–157. Vieweg Verlag, Braunschweig, 1993. BibTeX

1992

  1. Multilevel algorithms considered as iterative methods on indefinite systems. M. Griebel. In T. Manteuffel, editor, Proceedings of the 2nd Copper Mountain Conference on Iterative Methods. University of Colorado at Denver, 1992. also as SFB Bericht, 342/29/91 A, Institut für Informatik, TU München, 1991. BibTeX
  2. The combination technique for the sparse grid solution of PDEs on multiprocessor machines. M. Griebel. Parallel Processing Letters, 2(1):61–70, 1992. also as SFB Bericht 342/14/91 A, Institut für Informatik, TU München, 1991. BibTeX PostScript
  3. The combination technique for parallel sparse-grid-preconditioning or -solution of PDEs on workstation networks. M. Griebel, W. Huber, U. Rüde, and T. Störtkuhl. In L. Bouge, M. Cosnard, Y. Robert, and D. Trystram, editors, Parallel Processing: CONPAR92-VAPP V, Lecture Notes in Computer Science 634, pages 217–228. Springer, Berlin, 1992. BibTeX
  4. A combination technique for the solution of sparse grid problems. M. Griebel, M. Schneider, and C. Zenger. In P. de Groen and R. Beauwens, editors, Iterative Methods in Linear Algebra, 263–281. IMACS, Elsevier, North Holland, 1992. also as SFB Bericht, 342/19/90 A, Institut für Informatik, TU München, 1990. BibTeX PostScript
  5. Improved multilevel algorithms for full and sparse grid problems. M. Griebel, C. Zenger, and S. Zimmer. SFB-Report 342/15/92 A, Technische Universität München, 1992. BibTeX PostScript

1991

  1. A parallelizable and vectorizable multi-level algorithm on sparse grids. M. Griebel. In W. Hackbusch, editor, Parallel Algorithms for partial differential equations, Notes on Numerical Fluid Mechanics, volume 31, 94–100. Vieweg Verlag, Wiesbaden, 1991. also as SFB Bericht, 342/20/90 A, Institut für Informatik, TU München, 1990. BibTeX
  2. Parallel multigrid methods on sparse grids. M. Griebel. In Multigrid Methods III, International Series of Numerical Mathematics, volume 98, 211–221. Birkhäuser Verlag, Basel, 1991. Also as SFB Bericht, 342/30/90 A, Institut für Informatik, TU München, 1990. BibTeX
  3. Senegal mit Gambia und Mauretanien. M. Griebel and C. Reithmeir. Volume 33 of Preiswert reisen. Hayit Verlag, Köln, 1991. 2., überarbeitete Auflage. BibTeX Link

1990

  1. Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen Transformations-Mehrgitter-Methode. M. Griebel. Technical Report, SFB Bericht 342/4/90 A, Institut für Informatik, TU München, 1990. BibTeX

1989

  1. The problem of selecting the shape functions for a p-type finite element. I. Babuška, M. Griebel, and J. Pitkaranta. Int. J. Num. Meth. Engin., 28:1891–1908, 1989. BibTeX

1988

  1. Senegal mit Gambia und Mauretanien. M. Griebel and C. Reithmeir. Hayit Verlag, Köln, 1988. BibTeX

1987

  1. On the combination of the ideas of multilevel solvers using hierarchical bases and the substructuring technique for the finite element method. M. Griebel. Technical Report, Bericht I8709, Institut für Informatik, TU München, 1987. BibTeX

1986

  1. Baumartige Strukturierung linearer Gleichungssysteme mit dünn besiedelter Matrix. M. Griebel. In Berichte aus den Informatikinstituten, 9. Jahrestagung der österreichischen Gesellschaft für Informatik, 105–115. Fakultät für Mathematik und Informatik, Universität Passau, Bericht MIP-8604, 1986. BibTeX
  2. Ein gemeinsamer Datentyp für eine Baumstrukturierung bei der Methode der finiten Elemente und beim geometrischen Modellieren. M. Griebel. In VDI-Bericht 610.5 Datenverarbeitung in der Konstruktion '86, CAD und Informatik, 543–557. VDI-Verlag, 1986. BibTeX