Research Group of Prof. Dr. Michael Griebel

INS Preprints of this group

Go to publications of this group.

2025

  1. A parallel-in-time combination method for parabolic problems. M. Griebel, M. A. Schweitzer, and L. Troska. Available as INS Preprint No. 2505, 2025. BibTeX PDF
  2. Kernel interpolation on sparse grids. M. Griebel, H. Harbrecht, and M. Multerer. Available as INS Preprint No. 2504, 2025. BibTeX PDF
  3. Local defect correction method and green’s functions for isolated singularities with application to plane load-bearing structures. J. Bitzenbauer, H.-J. Flad, G. Flad-Harutyunyan, W. Hackbusch, C. Jenkel, and P. Ullrich. Available as INS Preprint No. 2503, 2025. BibTeX PDF
  4. Fundamental solutions and green’s functions for certain elliptic differential operators from a pseudo-differential algebra. H.-J. Flad and G. Flad-Harutyunyan. Available as INS Preprint No. 2502, 2025. BibTeX PDF
  5. Small distance behaviour of one-particle Green’s functions in electronic structure theory. H.-J. Flad and M. Griebel. Journal of Physics A: Mathematical and Theoretical, 58(29):295203, 2025. BibTeX PDF DOI

2024

  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. 2404, 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. The sample complexity of learning Lipschitz operators with respect to Gaussian measures. B. Adcock, M. Griebel, and G. Maier. Available as INS Preprint No. 2402, 2024. BibTeX PDF
  4. Efficient solution of ill-posed integral equations through averaging. M. Griebel and T. Jahn. IMA Journal of Numerical Analysis, pages draf038, 06 2025. Also available as INS Preprint No. 2401. BibTeX PDF DOI

2023

  1. Convergence of generalized cross-validation for an ill-posed integral equation. T. Jahn. Available as INS Preprint No. 2303, 2023. BibTeX PDF
  2. Convergence analysis of online algorithms for vector-valued kernel regression. M. Griebel and P. Oswald. Available as INS Preprint No. 2302, accepted in Constructive Approximation (2025), 2023. BibTeX PDF
  3. 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

2022

  1. 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
  2. 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
  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

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 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
  3. 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 Supplement PDF DOI
  4. 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. 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
  2. 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

2019

  1. 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
  2. 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
  3. 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
  4. 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

2018

  1. 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
  2. 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
  3. 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
  4. 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
  5. Incremental kernel based approximations for Bayesian inverse problems. C. Rieger. Available as INS Preprint No. 1807., 2018. BibTeX PDF
  6. Iterated Landweber method for radial basis functions interpolation with finite accuracy. C. Rieger. Available as INS Preprint No. 1806., 2018. BibTeX PDF
  7. 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
  8. 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
  9. Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces. C. Kacwin, J. Oettershagen, M. Ullrich, and T. Ullrich. Preprint Uni Bonn, pages 1–40, 2018. INS Preprint No. 1801. BibTeX PDF

2017

  1. 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
  2. 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
  3. Upscaled HDG methods for Brinkman equations with high-contrast heterogeneous coefficient. G. Li and K. Shi. INS preprint No. 1716., 2017. BibTeX PDF
  4. 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
  5. 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
  6. 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
  7. 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
  8. Low-rank approximation to heterogeneous elliptic problems. G. Li. INS preprint No. 1704., 2017. BibTeX PDF
  9. 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
  10. 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

2016

  1. 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
  2. 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
  3. 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
  4. 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
  5. Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d. G. Li, D. Peterseim, and M. Schedensack. ArXiv e-prints, 2016. Also available as INS Preprint No. 1612. BibTeX PDF arXiv
  6. Sampling inequalities for sparse grids. C. Rieger and H. Wendland. Numerische Mathematik, 2017. Also available as INS preprint no. 1609. BibTeX PDF DOI
  7. 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
  8. 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

2015

  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. 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. 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
  4. 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
  5. 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
  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. 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
  8. 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
  9. Subspace correction methods in algebraic multi-level frames. P. Zaspel. INS Preprint No. 1510, submitted to Linear Algebra and its Applications., june 2015. BibTeX PDF
  10. 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
  11. 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

2014

  1. 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
  2. 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
  3. 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
  4. 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
  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. 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

2013

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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

2012

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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

2011

  1. 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
  2. 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
  3. 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
  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
  5. 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

2010

  1. 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

2009

  1. 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
  2. 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

2008

  1. 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
  2. Principal manifold learning by sparse grids. Chr. Feuersänger and M. Griebel. Computing, 2009. Also available as INS Preprint no 0801. BibTeX PDF DOI

2007

  1. 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
  2. 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
  3. 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
  4. 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

2006

  1. 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

2005

  1. 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
  2. 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
  3. 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
  4. 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

2002

  1. Compression of anisotropic tensor–product discretizations. S. Knapek. INS Preprint 0200, Institut für Numerische Simulation, Universität Bonn, 2002. BibTeX PDF