Institute for Numerical Simulation
Rheinische Friedrich-Wilhelms-Universität Bonn
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INS Preprints

The following listing shows only those publications which are uniquely identified by an INS preprint number.
Please refer to the list above to browse all publications.

INS preprints of Research group of Prof. Dr. Michael Griebel

[1] B. Bohn. On the convergence rate of sparse grid least squares regression. Lecture Notes in Computational Science and Engineering. Springer, 2017. submitted to Proceedings of the fourth workshop on sparse grids and applications, also available as INS Preprint No. 1711.
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[2] M. Griebel and H. Harbrecht. Singular value decomposition versus sparse grids: Refined complexity estimates. 2017. Submitted to IMA Journal of Numerical Analysis. Also available as INS Preprint No. 1708.
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[3] B. Brown, M. Griebel, F. Y. Kuo, and I. H. Sloan. On the expected uniform error of geometric brownian motion approximated by the lévy-ciesielski construction. 2017. INS Preprint No. 1706. Submitted to Journal of Complexity.
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[4] D. Dũng, M. Griebel, V. N. Huy, and C. Rieger. ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. 2017. submitted to Journal of Complexity, also available as INS Preprint No. 1703.
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[5] M. Griebel, C. Rieger, and A. Schier. Upwind schemes for scalar advection-dominated problems in the discrete exterior calculus. In D. Bothe and A. Reusken, editors, Transport Processes at Fluidic Interfaces, pages 145-175. Springer International Publishing, 2017. also available as INS Preprint No. 1627.
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[6] A. Rüttgers and M. Griebel. Multiscale simulation of polymeric fluids using the sparse grid combination technique. 2016. Accepted by Applied Mathematics and Computation, also available as INS Preprint No. 1623.
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[7] M. Burkow and M. Griebel. Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics. 2016. Submitted to Computers and Fluids. Also available as INS Preprint No. 1622.
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[8] P. Oswald. Nonconforming p1 elements on distorted triangulations: Lower bounds for the discrete energy norm error. 2016. INS Preprint No. 1618.
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[9] M. Griebel and P. Oswald. Stable splittings of Hilbert spaces of functions of infinitely many variables. 2017. To appear in Journal of Complexity. Also available as INS Preprint No. 1617.
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[10] G. Li, D. Peterseim, and M. Schedensack. Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d. ArXiv e-prints, 2016. Also available as INS Preprint No. 1612.
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[11] C. Rieger and H. Wendland. Sampling inequalities for sparse grids. Numerische Mathematik, 2017. Also available as INS preprint no. 1609.
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[12] J. Barker, J. Bulin, J. Hamaekers, and S. Mathias. Localized Coulomb descriptors for the Gaussian approximation potential. 2016. Submitted, also available as INS Preprint No. 1604, Institute for Numerical Simulation, University of Bonn.
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[13] M. Griebel, J. Hamaekers, and R. Chinnamsetty. An adaptive multiscale approach for electronic structure methods. 2016. Submitted to SIAM Journal of Multiscale Modelling and Simulation. Also available as INS Preprint No. 1601, Institute for Numerical Simulation, University of Bonn.
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[14] J. Barker, G. Bollerhey, and J. Hamaekers. A multilevel approach to the evolutionary generation of polycrystalline structures. Computational Materials Science, 114:54-63, 2016. also available as INS Preprint No. 1525.
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[15] M. Griebel, H. Harbrecht, and M. Peters. The sparse grid combination technique for parametric partial differential equations. 2015. INS Preprint No. 1521. Submitted to SIAM Journal of Uncertainty Quantification.
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[16] M. Griebel, C. Rieger, and B. Zwicknagl. Regularized kernel based reconstruction in generalized Besov spaces. 2015. Accpeted for publication in Foundations of Computational Mathematics. Also available as INS Preprint No. 1517.
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[17] B. Bohn, J. Garcke, and M. Griebel. A sparse grid based method for generative dimensionality reduction of high-dimensional data. Journal of Computational Physics, 309:1-17, 2016. also available as INS Preprint No. 1514.
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[18] M. Griebel, F. Y. Kuo, and I. H. Sloan. Note on ”The smoothing effect of integration in Rd and the ANOVA decomposition”. Mathematics of Compuation, 86:1855-1876, 2017. Also available as INS preprint No. 1513.
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[19] M. Griebel and J. Oettershagen. On tensor product approximation of analytic functions. Journal of Approximation Theory, 207:348-379, 2016. Also available as INS Preprint No. 1512.
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[20] M. Griebel and C. Rieger. Reproducing kernel Hilbert spaces for parametric partial differential equations. SIAM/ASA J. Uncertainty Quantification, 5:111-137, 2017. also available as INS Preprint No. 1511.
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[21] P. Zaspel. Subspace correction methods in algebraic multi-level frames. june 2015. INS Preprint No. 1510, submitted to Linear Algebra and its Applications.
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[22] M. Griebel and M. Klitz. CLSVOF as a fast and mass-conserving extension of the level-set method for the simulation of two-phase flow problems. 2015. Accepted by Journal of Heat and Mass Transfer. Also available as INS Preprint No. 1505.
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[23] M. Burkow and M. Griebel. Towards the three-dimensional numerical simulation of fluvial geomorphological processes. Zeitschrift für Geomorphologie, 58(3):15-32, 2015. also available as INS Preprint No. 1502.
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[24] D. Dũng and M. Griebel. Hyperbolic cross approximation in infinite dimensions. Journal of Complexity, 33:55-88, 2016. Also available as INS Preprint No. 1501.
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[25] M. Griebel and P. Oswald. Schwarz iterative methods: Infinite space splittings. 2015. accepted by Constructive Approximation, also available as INS Preprint No. 1413.
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[26] B. Bohn and M. Griebel. Error estimates for multivariate regression on discretized function spaces. SIAM Journal on Numerical Analysis, 55(4):1843-1866, 2017. also available as INS Preprint No. 1412.
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[27] A. Rüttgers, M. Griebel, L. Pastrik, H. Schmied, D. Wittmann, A. Scherrieble, A. Dinkelmann, and T. Stegmaier. Simulation of the oil storage process in the scopa of specialized bees. Computers & Fluids, 119:115-130, 2015. also available as INS Preprint No. 1404.
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[28] M. Griebel, F. Y. Kuo, and I. H. Sloan. The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Mathematics of Compuation, 86:1855-1876, 2017. Also available as INS preprint No. 1403.
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[29] M. Griebel, J. Hamaekers, and F. Heber. A bond order dissection ANOVA approach for efficient electronic structure calculations. In Extraction of Quantifiable Information from Complex Systems, volume 102 of Lecture Notes in Computational Science and Engineering, pages 211-235. Springer, 2014. also available as INS Preprint No. 1402.
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[30] J. Adelsberger, P. Esser, M. Griebel, S. Groß, M. Klitz, and A. Rüttgers. 3D incompressible two-phase flow benchmark computations for rising droplets. 2014. Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain, also available as INS Preprint No. 1401 and as IGPM Preprint No. 393.
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[31] M. Griebel, A. Hullmann, and P. Oswald. Optimal scaling parameters for sparse grid discretizations. Numerical Linear Algebra with Applications, 22(1):76-100, 2015. Also available as INS Preprint No. 1314.
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[32] M. Griebel and A. Rüttgers. Multiscale simulations of three-dimensional viscoelastic flows in a square-square contraction. Journal of non-Newtonian Fluid Mechanics, 205:41-63, 2014. also available as INS Preprint No. 1313.
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[33] M. Griebel, C. Rieger, and B. Zwicknagl. Multiscale approximation and reproducing kernel Hilbert space methods. SIAM Journal on Numerical Analysis, 53(2):852-873, 2015. Also available as INS Preprint No. 1312.
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[34] M. Griebel and A. Hullmann. Dimensionality reduction of high-dimensional data with a nonlinear principal component aligned generative topographic mapping. SIAM Journal on Scientific Computing, 36(3):A1027-A1047, 2014. Also available as INS Preprint No. 1311.
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[35] M. Griebel and J. Oettershagen. Dimension-adaptive sparse grid quadrature for integrals with boundary singularities. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 109-136. Springer, 2014. Also available as INS Preprint no 1310.
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[36] M. Griebel and A. Rüttgers. Simulation of dilute polymeric fluids in a three-dimensional contraction using a multiscale FENE model. volume 1593 of AIP Conference Proceedings, pages 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.
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[37] M. Burkow and M. Griebel. A full three dimensional numerical simulation of the sediment transport and the scouring at a rectangular obstacle. Computer and Fluids, 125:1-10, 2016. also available as INS Preprint No. 1307.
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[38] M. Griebel and J. Hamaekers. Fast discrete Fourier transform on generalized sparse grids. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 75-108. Springer, 2014. INS Preprint No. 1305.
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[39] M. Griebel and H. Harbrecht. On the convergence of the combination technique. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 55-74. Springer, 2014. Also available as INS Preprint No. 1304.
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[40] M. Griebel and M. Klitz. Simulation of droplet impact with dynamic contact angle boundary conditions. In Singular Phenomena and Scaling in Mathematical Models, pages 297-325. Springer International Publishing Switzerland, 2013. INS Preprint No. 1302.
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[41] M. Griebel and A. Hullmann. On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions. In Singular Phenomena and Scaling in Mathematical Models, pages 263-296. Springer International Publishing Switzerland, 2014. Also available as INS Preprint No. 1301.
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[42] O. Bokanowski, J. Garcke, M. Griebel, and I. Klompmaker. An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations. J. of Scientific Computing, 2012. accepted, also available as INS Preprint No. 1207.
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[43] M. Griebel and A. Hullmann. A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data. 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. Also available as INS Preprint No. 1206.
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[44] M. Griebel and H. Harbrecht. A note on the construction of L-fold sparse tensor product spaces. Constructive Approximation, 38(2):235-251, 2013. Also available as INS Preprint No. 1205.
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[45] J. Gaitero, J. Dolado, C. Neuen, F. Heber, and E. Koenders. Computational 3d simulation of calcium leaching in cement matrices. In Proceedings of the Second International Conference on Microstructural-related Durability of Cementitious Composites, RILEM, 2012. Also available as INS Preprint no 1203.
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[46] M. Griebel and A. Hullmann. An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model. In Sparse grids and Applications, Lecture Notes in Computational Science and Engineering, pages 121-150. Springer, 2013. Also available as INS Preprint No. 1202.
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[47] B. Bohn and M. Griebel. An adaptive sparse grid approach for time series predictions. 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. Also available as INS Preprint no 1201.
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[48] P. Zaspel and M. Griebel. Solving incompressible two-phase flows on multi-GPU clusters. 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.
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[49] M. Griebel and D. Wissel. Fast approximation of the discrete Gauss transform in higher dimensions. Journal of Scientific Computing, 55(1):149-172, October 2013. Also available as INS Preprint No. 1111, 2011.
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[50] M. Griebel and H. Harbrecht. Approximation of two-variate functions: Singular value decomposition versus sparse grids. 2011. accepted by IMA Journal of Numerical Analysis, also available as INS Preprint No. 1109.
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[51] M. Griebel and P. Oswald. Greedy and randomized versions of the multiplicative Schwarz method. 2012. Linear Algebra and its Applications, also available as INS Preprint No. 1105.
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[52] M. Griebel and H. Harbrecht. On the construction of sparse tensor product spaces. Mathematics of Computations, 82(282):975-994, Apr. 2013. Also available as INS Preprint No. 1104, 2011.
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[53] M. Griebel, F. Y. Kuo, and I. H. Sloan. The smoothing effect of integration in Rd and the ANOVA decomposition. Math. Comp., 82:383-400, 2013. Also available as INS preprint No. 1007, 2010.
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[54] J. Garcke, T. Gerstner, and M. Griebel. Intraday foreign exchange rate forecasting using sparse grids. In J. Garcke and M. Griebel, editors, Sparse Grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 81-106, 2012. also available as INS Preprint No. 1006.
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[55] M. Griebel and F. Heber. A molecular dynamics study on fullerene-implanted carbon nanotori as electronmagnetic sensing and emitting devices. 2009. INS Preprint no 0912.
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[56] M. Griebel and J. Hamaekers. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation. Zeitschrift für Physikalische Chemie, 224:527-543, 2010. Also available as INS Preprint no 0911.
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[57] M. Griebel and M. Holtz. Dimension-wise integration of high-dimensional functions with applications to finance. J. Complexity, 26:455-489, 2010. Also available as INS Preprint 0809.
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[58] C. Feuersänger and M. Griebel. Principal manifold learning by sparse grids. Computing, 85(4), 2009. Also available as INS Preprint no 0801.
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[59] H. Manzano, J. Dolado, M. Griebel, and J. Hamaekers. A molecular dynamics study of the aluminosilicate chains structure in Al-rich calcium silicate hydrated (C-S-H) gels. physica status solidi (a) - applications and materials science, 205(6):1324-1329, 2008. Also as INS Preprint No. 0707.
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[60] M. Griebel, J. Hamaekers, and F. Heber. A molecular dynamics study on the impact of defects and functionalization on the Young modulus of boron-nitride nanotubes. Computational Materials Science, 45(4):1097-1103, 2009.
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[61] M. Griebel, J. Hamaekers, and F. Heber. BOSSANOVA: A bond order dissection approach for efficient electronic structure calculations. INS Preprint 0704, Institut für Numerische Simulation, Universität Bonn, 2008.
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[62] J. S. Dolado, M. Griebel, and J. Hamaekers. A molecular dynamics study of cementitious silicate hydrate (C-S-H) gels. Journal of the American Ceramic Society, 90(12):3938-3942, 2007. Also as INS Preprint No. 0701.
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[63] M. Griebel and J. Hamaekers. A wavelet based sparse grid method for the electronic Schrödinger equation. In M. Sanz-Solé, J. Soria, J. Varona, and J. Verdera, editors, Proceedings of the International Congress of Mathematicians, volume III, pages 1473-1506, Madrid, Spain, August 22-30 2006. European Mathematical Society. Also as INS Preprint No. 0603.
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[64] M. Griebel and J. Hamaekers. Sparse grids for the Schrödinger equation. Mathematical Modelling and Numerical Analysis, 41(2):215-247, 2007. Special issue on Molecular Modelling. Also as INS Preprint No. 0504.
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[65] M. Griebel, J. Hamaekers, and R. Wildenhues. Molecular dynamics simulations of the influence of chemical cross-links on the elastic moduli of polymer-carbon nanotube composites. In J. Sanchez, editor, Proceedings 1st Nanoc-Workshop, LABEIN, Bilbao, Spain, 2005. Also as INS Preprint No. 0503.
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[66] M. Griebel and J. Hamaekers. Molecular dynamics simulations of the mechanical properties of polyethylene-carbon nanotube composites. In M. Rieth and W. Schommers, editors, Handbook of Theoretical and Computational Nanotechnology, volume 9, chapter 8, pages 409-454. American Scientific Publishers, 2006. Also as INS Preprint No. 0502.
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[67] M. Griebel and J. Hamaekers. Molecular dynamics simulations of boron-nitride nanotubes embedded in amorphous Si-B-N. Computational Materials Science, 39(3):502-517, 2007. Also as INS Preprint No. 0501.
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[68] S. Knapek. Compression of anisotropic tensor-product discretizations. INS Preprint 0200, Institut für Numerische Simulation, Universität Bonn, 2002.
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SFB611 Preprints

Preprints of the SFB611 can be found at http://sfb611.iam.uni-bonn.de.