Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
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Publications of Prof. M. Griebel

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2017:

[1] 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.
bib | DOI | .pdf 1 ]
[2] 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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[3] 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.
bib | arXiv | .pdf 1 ]
[4] 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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[5] 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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[6] 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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[7] M. Griebel and G. Li. On the decay rate of the singular values of bivariate functions. 2017. Submitted to SIAM J. Numer. Analysis. Also available as INS preprint No. 1702.
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[8] 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.
bib | DOI | .pdf 1 ]
[9] 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.
bib | DOI | .pdf 1 ]
[10] 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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2016:

[1] 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.
bib | DOI | .pdf 1 ]
[2] 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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[3] 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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[4] 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.
bib | DOI | .pdf 1 ]
[5] 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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[6] 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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[7] 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.
bib | .pdf 1 ]

2015:

[1] 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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[2] 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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[3] 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.
bib | DOI | http | .pdf 1 ]
[4] 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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[5] M. Griebel and P. Oswald. Schwarz iterative methods: Infinite space splittings. 2015. accepted by Constructive Approximation, also available as INS Preprint No. 1413.
bib | DOI | .pdf 1 ]
[6] 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.
bib | DOI | .pdf 1 ]
[7] 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.
bib | .pdf 1 ]
[8] 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.
bib | http | .pdf 1 ]

2014:

[1] 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.
bib | http | http | .pdf 1 ]
[2] 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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[3] 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.
bib | .pdf 1 ]
[4] 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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[5] 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.
bib | DOI | http | .pdf 1 ]
[6] 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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[7] 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.
bib | DOI | http | .pdf 1 ]
[8] 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.
bib | .pdf 1 ]
[9] 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.
bib | www: | .pdf 1 ]
[10] 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.
bib | http | .pdf 1 ]
[11] D. Pflüger, H.-J. Bungartz, M. Griebel, F. Jenko, T. Dannert, M. Heene, C. Kowitz, A. Hinojosa, and P. Zaspel. Exahd: An exa-scalable two-level sparse grid approach for higher-dimensional problems in plasma physics and beyond. In L. Lopes, J. Žilinskas, A. Costan, R. Cascella, G. Kecskemeti, E. Jeannot, M. Cannataro, L. Ricci, S. Benkner, S. Petit, V. Scarano, J. Gracia, S. Hunold, S. 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.
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2013:

[1] 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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[2] 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.
bib | DOI | http | .pdf 1 ]
[3] J. Garcke, T. Gerstner, and M. Griebel. Time series forecasting using sparse grids. Computing and Visualization in Science, 2013. submitted.
bib | .pdf 1 ]
[4] 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.
bib | .pdf 1 ]
[5] 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.
bib | .pdf 1 ]
[6] 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.
bib | .pdf 1 ]
[7] 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.
bib | .pdf 1 ]
[8] C. Neuen, M. Griebel, and J. Hamaekers. Multiscale simulation of ion migration for battery systems. MRS Online Proceedings Library, 1535, 2013. Also available as INS Preprint no. 1208.
bib | DOI | http | .pdf 1 | Abstract ]
[9] 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.
bib | DOI | http | .pdf 1 ]

2012:

[1] 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.
bib | DOI | .pdf 1 ]
[2] 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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[3] 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.
bib | .pdf 1 | Abstract ]
[4] 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.
bib | DOI | http | .pdf 1 ]

2011:

[1] P. Zaspel and M. Griebel. Massively parallel fluid simulations on amazon's hpc cloud. In Network Cloud Computing and Applications (NCCA), 2011 First International Symposium on, pages 73 -78, nov. 2011.
bib | DOI | http | Abstract ]
[2] J. S. Dolado, M. Griebel, J. Hamaekers, and F. Heber. The nano-branched structure of cementitious calcium-silicate-hydrate gel. Journal of Materials Chemistry, 21:4445-4449, 2011.
bib | DOI | http | .pdf 1 ]
[3] M. Engel and M. Griebel. A multigrid method for constrained optimal control problems. Journal of Computational and Applied Mathematics, 235(15):4368 - 4388, 2011.
bib | DOI | http | .pdf 1 ]
[4] M. Griebel, J. Hamaekers, and F. Heber. BOSSANOVA - A bond order dissection approach for efficient electronic structure calculations. Oberwolfach Report, 32:1804-1808, 2011.
bib | DOI ]
[5] 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.
bib | .pdf 1 ]
[6] P. Zaspel and M. Griebel. Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. Computing and Visualization in Science, 14(8):371-383, 2011.
bib | DOI | http | .pdf 1 ]

2010:

[1] M. Griebel and P. Zaspel. A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations . Computer Science - Research and Development, 25(1-2):65-73, may 2010.
bib | DOI | http | .pdf 1 ]
[2] T. Gerstner and M. Griebel. Sparse grids. In R. Cont, editor, Encyclopedia of Quantitative Finance. John Wiley and Sons, Feb. 2010.
bib | .html | .pdf 1 ]
[3] M. Griebel and J. Hamaekers. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation. 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.
bib ]
[4] 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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[5] M. Griebel and M. Hegland. A finite element method for density estimation with Gaussian priors. SIAM Num ANAL, 47(6):4759-4792, 2010. Also available as SFB 611 Preprint no. 424.
bib | DOI | .pdf 1 ]
[6] 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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[7] M. Griebel and M. Klitz. Homogenisation and numerical simulation of flow in geometries with textile microstructures. SIAM MMS, 8(4), 2010. Also available as SFB611 preprint no 404 / 2008.
bib | DOI | http | .pdf 1 ]
[8] M. Griebel, F. Y. Kuo, and I. H. Sloan. The smoothing effect of the ANOVA decomposition. J. Complexity, 26:523-551, 2010.
bib | .pdf 1 ]
[9] 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. Feasible and successful: Genome-wide Interaction Analysis (GWIA) involving all 1.9x1011 pair-wise interaction tests. Human Heredity, 69:268-284, 2010.
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2009:

[1] M. Griebel and S. Knapek. Optimized general sparse grid approximation spaces for operator equations. Mathematics of Computations, 78(268):2223-2257, Oct. 2009. Also available as SFB611 preprint No 402.
bib | .pdf (link) | .ps.gz 1 | .pdf 1 ]
[2] J. Braun and M. Griebel. On a constructive proof of Kolmogorov's superposition theorem. Constructive Approximation, 30:653, 2009. Also available as SFB611 preprint no 342 / 2007.
bib | DOI | http | .pdf 1 ]
[3] R. Croce, M. Griebel, and M. A. Schweitzer. Numerical simulation of bubble and droplet-deformation by a level set approach with surface tension in three dimensions. International Journal for Numerical Methods in Fluids, 62(9):963-993, 2009. Also available as SFB 611 Preprint no 431.
bib | DOI | .pdf 1 ]
[4] C. Feuersänger and M. Griebel. Principal manifold learning by sparse grids. Computing, 85(4), 2009. Also available as INS Preprint no 0801.
bib | DOI | http | .pdf 1 | Abstract ]
[5] J. Garcke, M. Griebel, and M. Thess. Data Mining for the category management in the retail market. Preprint, Institut für Numerische Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, 2009. This is the english version of `Garcke, Griebel, Thess: Data-Mining für die Angebotsoptimierung im Handel, 2009'.
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[6] J. Garcke, M. Griebel, and M. Thess. Data-Mining für die Angebotsoptimierung im Handel. In M. Grötschel, K. Lucas, and V. Mehrmann, editors, Produktionsfaktor Mathematik, pages 111-123. acatech, Springer, Berlin, Heidelberg, 2009. We also offer an english translation, see `Data Mining for the category management in the retail market'.
bib | .pdf 1 ]
[7] T. Gerstner, M. Griebel, and M. Holtz. Efficient deterministic numerical simulation of stochastic asset-liability management models in life insurance. Insurance: Math. Economics, 44:434-446, 2009.
bib | .pdf 1 ]
[8] 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.
bib | .pdf 1 ]
[9] 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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[10] Mathematisches Forschungsinstitut Oberwolfach. Homogenisation and Numerical Simulation of Flow Problems in Geometries with Textile Microstructures, 2009.
bib | DOI | .pdf (link) ]
[11] S. Trömel, C. Simmer, J. Braun, T. Gerstner, and M. Griebel. Towards the use of integral radar volume descriptors for quantitative areal precipitation estimation - results from pseudo-radar observations. Journal of Atmospheric and Oceanic Technology, 26(9):1798-1813, 2009.
bib | DOI | arXiv | http | .pdf 1 ]

2008:

[1] B. Verleye, R. Croce, M. Griebel, M. Klitz, S. Lomov, G. Morren, H. Sol, I. Verpoest, and D. Roose. Permeability of textile reinforcements: simulation, influence of shear, validation. In Composites science and technology, volume 68, pages 2804-2810. Elsevier Applied Science Publishers, Oct. 2008.
bib | .pdf 1 | Abstract ]
[2] Michael Griebel, Bram Metsch, and Marc Alexander Schweitzer. Coarse grid classification: AMG on parallel computers. In Gernot Münster, Dietrich Wolf, and Manfred Kremer, editors, NIC Symposium 2008, volume 39 of NIC Series, pages 299-306, February 2008. Also available as SFB 611 preprint No. 368, Universität Bonn, 2008.
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[3] R. Croce, M. Griebel, and M. A. Schweitzer. Numerical simulation of droplet-deformation by a level set approach with surface tension. Preprint 395, Sonderforschungsbereich 611, Universität Bonn, Bonn, Germany, 2008.
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[4] T. Gerstner, M. Griebel, M. Holtz, R. Goschnick, and M. Haep. A general asset-liability management model for the efficient simulation of portfolios of life insurance policies. Insurance: Math. Economics, 42(2):704-716, 2008.
bib | .pdf 1 | Abstract ]
[5] T. Gerstner, M. Griebel, M. Holtz, R. Goschnick, and M. Haep. Numerical simulation for asset-liability management in life insurance. In H.-J. Krebs and W. Jäger, editors, Mathematics - Key Technology for the Future, Part 6, pages 319-341. Springer, 2008.
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[6] 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.
bib | .pdf 1 ]
[7] M. Griebel and L. Jager. The BGY3dM model for the approximation of solvent densities. J. Chem. Phys., 129(17), 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.
bib | DOI | http | .pdf 1 | Abstract ]
[8] M. Griebel and L. Jager. The BGY3dM model for the approximation of solvent densities. Preprint No. 403, SFB 611, University of Bonn, 2008.
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[9] 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.
bib | DOI | http | .pdf 1 ]
[10] B. Verleye, R. Croce, M. Griebel, M. Klitz, S. Lomov, G. Morren, H. Sol, I. Verpoest, and D. Roose. Permeability of textile reinforcements:simulation; influence of shear, nesting and boundary conditions; validation. 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.
bib | .pdf 1 | Abstract ]

2007:

[1] M. Hegland and M. Griebel. Variational problems in machine learning and their solution with finite elements. 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., pages C364-C379, Aug. 2007.
bib | http | .pdf 1 ]
[2] 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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[3] T. Gerstner, M. Griebel, and M. Holtz. The effective dimension of asset-liability management problems in life insurance. In C. Fernandes, H. Schmidli, and N. Kolev, editors, Proc. Third Brazilian Conference on Statistical Modelling in Insurance and Finance, pages 148-153, 2007.
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[4] 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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[5] 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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[6] M. Griebel, S. Knapek, and G. Zumbusch. Numerical Simulation in Molecular Dynamics. Springer, Berlin, Heidelberg, 2007.
bib | Cover | springer.de ]
[7] M. Griebel and D. Oeltz. A sparse grid space-time discretization scheme for parabolic problems. Computing, 81(1):1-34, 2007.
bib | .ps.gz 1 | Abstract ]
[8] M. Griebel, K. Scherer, and M. A. Schweitzer. Robust norm equivalencies for diffusion problems. Math. Comput., 76:1141-1161, 2007.
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[9] B. Verleye, R. Croce, M. Griebel, M. Klitz, S. Lomov, I. Verpoest, and D. Roose. Finite difference computation of the permeability of textile reinforcements with a fast stokes solver and new validation examples. In E. Cueto and F. Chinesta, editors, AIP Conference Proceedings, volume 907, pages 945-950, 2007.
bib | .pdf 1 ]

2006:

[1] 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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[2] M. Arndt, M. Griebel, V. Novák, T. Roubíček, and P. Šittner. Martensitic transformation in NiMnGa single crystals: Numerical simulation and experiments. International Journal of Plasticity, 22(10):1943-1961, 2006.
bib | http | .ps 1 | .pdf 1 | Abstract ]
[3] M. Engel and M. Griebel. Flow simulation on moving boundary-fitted grids and application to fluid-structure interaction problems. International Journal for Numerical Methods in Fluids, 50(4):437-468, 2006. Also as Preprint No. 156, SFB 611, Universität Bonn.
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[4] H. Fassbender, M. Griebel, O. Holtz, G. Stewart, and C. Zenger. Curriculum vitae of Friedrich Ludwig Bauer. Linear Algebra and its Applications, 417(2-3, SI):299-300, 2006.
bib | DOI ]
[5] M. Griebel. Sparse grids and related approximation schemes for higher dimensional problems. In L. Pardo, A. Pinkus, E. Suli, and M. Todd, editors, Foundations of Computational Mathematics (FoCM05), Santander, pages 106-161. Cambridge University Press, 2006.
bib | .pdf 1 | Abstract ]
[6] 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.
bib | .html | .ps.gz 1 | .pdf 1 ]
[7] M. Griebel, B. Metsch, D. Oeltz, and M. A. Schweitzer. Coarse grid classification: A parallel coarsening scheme for algebraic multigrid methods. Numerical Linear Algebra with Applications, 13(2-3):193-214, 2006. Also available as SFB 611 preprint No. 225, Universität Bonn, 2005.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[8] M. Griebel, B. Metsch, and M. A. Schweitzer. Coarse grid classification-Part II: Automatic coarse grid agglomeration for parallel AMG. Preprint 271, Sonderforschungsbereich 611, Universität Bonn, 2006.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[9] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part VII: Adaptivity. 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.
bib | .ps.gz 1 | .pdf 1 ]
[10] M. Griebel and H. Wozniakowski. On the optimal convergence rate of universal and non-universal algorithms for multivariate integration and approximation. Mathematics of Computation, 75(255):1259-1286, 2006.
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[11] B. Verleye, M. Klitz, R. Croce, M. Griebel, S. Lomov, D. Roose, and I. Verpoest. Predicting the permeability of textile reinforcements via a hybrid Navier-Stokes/Brinkman solver. In Binetruy, editor, Proceedings of the 8th International Conference on Flow Processes in Composite Materials (FPCM-8), pages 65-72, Ecole des Mines de Douai, Douai, 2006.
bib | .pdf 1 ]

2005:

[1] M. Arndt and M. Griebel. Derivation of higher order gradient continuum models from atomistic models for crystalline solids. Multiscale Modeling and Simulation, 4(2):531-562, 2005. Also as Preprint No. 152, SFB 611, University of Bonn.
bib | .pdf 1 | Abstract ]
[2] J. Garcke and M. Griebel. Semi-supervised learning with sparse grids. In M.-R. Amini, O. Chapelle, and R. Ghani, editors, Proceedings of ICML, Workshop on Learning with Partially Classified Training Data, pages 19-28, 2005.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[3] 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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[4] M. Griebel, L. Jager, and A. Voigt. Computing diffusion coefficients of intrinsic point defects by atomistic simulations. Technical report, Institute for Numerical Simulation, University of Bonn, 2005.
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[5] M. Griebel, D. Oeltz, and P. Vassilevski. Space-time approximation with sparse grids. SIAM J. Sci. Comput., 28(2):701-727, 2005. Also as Preprint No. 222, SFB 611, University of Bonn.
bib | .pdf 1 | Abstract ]
[6] M. Griebel, P. Oswald, and M. A. Schweitzer. A particle-partition of unity method-Part VI: A p-robust multilevel solver. 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, pages 71-92. Springer, 2005.
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[7] M. Griebel and M. A. Schweitzer. Particle-partition of unity methods in elasticity. In Proceedings of the International Conference on Computational Methods. Springer, 2005.
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2004:

[1] M. Griebel and J. Hamaekers. Molecular dynamics of mechanical properties of boron-nitride nanotubes embedded in Si-B-N ceramics. In N. M. Ghoniem, editor, Conference Proceedings, Second International Conference on Multiscale Materials Modeling, pages 51-55, Mechanical and Aerospace Engineering Department, University of California Los Angeles, October 11-15 2004.
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[2] M. Arndt and M. Griebel. Higher order gradient continuum description of atomistic models for crystalline solids. In P. Neittaanmäki et al., editors, Proceedings of the Fourth European Congress on Computational Methods in Applied Sciences and Engineering, Jyväskylä, Finland, 2004.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[3] H.-J. Bungartz and M. Griebel. Sparse grids. Acta Numerica, 13:1-123, 2004.
bib | .pdf 1 | Abstract ]
[4] H.-J. Bungartz, M. Griebel, and C. Zenger. Introduction to Computer Graphics. Charles River Media, Hingham, Massachusetts, 2004.
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[5] U. Clarenz, M. Griebel, M. Rumpf, M. Schweitzer, and A. Telea. Feature sensitive multiscale editing on surfaces. The Visual Computer, (20):329-343, 2004. Also as Preprint No. 89, SFB 611, Universität Bonn, Germany.
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[6] R. Croce, M. Griebel, and M. A. Schweitzer. A parallel level-set approach for two-phase flow problems with surface tension in three space dimensions. Preprint 157, Sonderforschungsbereich 611, Universität Bonn, 2004.
bib | .pdf 1 ]
[7] M. Griebel and J. Hamaekers. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. Computer Methods in Applied Mechanics and Engineering, 193(17-20):1773-1788, 2004.
bib | .ps.gz 1 | .pdf 1 ]
[8] M. Griebel, L. Jager, and A. Voigt. Predicting material parameters for intrinsic point defect diffusion in silicon crystal growth. Solid State Phenomena, 95-96:35-40, 2004.
bib | .pdf 1 ]
[9] M. Griebel, T. Preusser, M. Rumpf, M. A. Schweitzer, and A. Telea. Flow field clustering via algebraic multigrid. In Proceedings of the IEEE Visualization 2004, pages 35-42, 2004.
bib | .pdf 1 ]
[10] M. Griebel, K. Scherer, and M. A. Schweitzer. Robust norm equivalencies and optimal preconditioners for diffusion problems. Preprint 154, Sonderforschungsbereich 611, Universität Bonn, 2004.
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2003:

[1] M. Griebel and J. Hamaekers. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. In D. Hui, editor, ICCE-10, pages 213-214, College of Engineering, University of New Orleans, July 20-26 2003. International Community for Composites Engineering.
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[2] M. Griebel, L. Jager, and A. Voigt. Computing diffusion coefficients of intrinsic point defects in crystalline silicon. In D. Hui, editor, ICCE-10, pages 487-488, College of Engineering, University of New Orleans, July 20-26 2003. International Community for Composites Engineering.
bib | .ps.gz 1 | .pdf 1 ]
[3] M. Arndt, M. Griebel, and T. Roubíček. Modelling and numerical simulation of martensitic transformation in shape memory alloys. Continuum Mechanics and Thermodynamics, 15(5):463-485, 2003. Also as Preprint No. 26, SFB 611, University of Bonn.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[4] T. Gerstner and M. Griebel. Dimension-adaptive tensor-product quadrature. Computing, 71(1):65-87, 2003.
bib | .pdf 1 | Abstract ]
[5] M. Griebel, S. Knapek, G. Zumbusch, and A. Caglar. Numerische Simulation in der Moleküldynamik. Numerik, Algorithmen, Parallelisierung, Anwendungen. Springer, Berlin, Heidelberg, 2003.
bib | Cover | springer.de | amazon.de | http ]
[6] M. Griebel and F. Koster. Multiscale methods for the simulation of turbulent flows. In E. Hirschel, editor, Numerical Flow Simulation III, volume 82 of Notes on Numerical Fluid Mechanics and Multidisciplinary Design, pages 203-214. Springer-Verlag, 2003.
bib | .ps.gz 1 | Abstract ]
[7] M. Griebel, D. Oeltz, and M. A. Schweitzer. An algebraic multigrid method for linear elasticity. SIAM J. Sci. Comp., 25(2):385-407, 2003.
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2002:

[1] S. J. V. Frankland, A. Caglar, D. W. Brenner, and M. Griebel. Molecular simulation of the influence of chemical crosslinks on the shear strength of carbon nanotube-polymer interfaces. Journal of Physical Chemistry B, 106(12):3046-3048, 2002.
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[2] J. Garcke and M. Griebel. Classification with sparse grids using simplicial basis functions. 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.), pages 87-96, ACM, 2001).
bib | http | .ps.gz 1 | .pdf 1 | Abstract ]
[3] T. Gerstner, D. Meetschen, S. Crewell, M. Griebel, and C. Simmer. A case study on multiresolution visualization of local rainfall from weather radar measurements. In H. Pfister and M. Bailey, editors, Proceedings IEEE Visualization 2002, pages 533-536. IEEE Computer Society Press, 2002. (also as SFB 256 report 45, University of Bonn, 2001).
bib | .pdf 1 ]
[4] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part V: Boundary conditions. In S. Hildebrandt and H. Karcher, editors, Geometric Analysis and Nonlinear Partial Differential Equations, pages 517-540. Springer, 2002.
bib | .ps.gz 1 | .pdf 1 ]
[5] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part IV: Parallelization. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations, volume 26 of Lecture Notes in Computational Science and Engineering, pages 161-192. Springer, 2002.
bib | .ps.gz 1 | .pdf 1 ]
[6] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part III: A multilevel solver. SIAM J. Sci. Comp., 24(2):377-409, 2002.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[7] M. Griebel and M. A. Schweitzer. A particle-partition of unity method-Part II: Efficient cover construction and reliable integration. SIAM J. Sci. Comp., 23(5):1655-1682, 2002.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[8] M. Griebel and G. Zumbusch. Hash based adaptive parallel multilevel methods with space-filling curves. In H. Rollnik and D. Wolf, editors, NIC Symposium 2001, volume 9 of NIC Series, ISBN 3-00-009055-X, pages 479-492, Germany, 2002. Forschungszentrum Jülich.
bib | .ps.gz 1 | .pdf 1 | Abstract ]

2001:

[1] P. Boeker, M. Wittkowski, O. Wallenfang, F. Koster, R. Croce, M. Griebel, B. Diekmann, and P. Schulze-Lammers. Tracerverfahren zur Validierung von Ausbreitungsmodellen für Geruchsemissionen. Agrartechnische Forschung, Landtechnik-net, pages 92-97, 2001. refereed electronical journal.
bib | .pdf 1 ]
[2] P. Boeker, M. Wittkowski, O. Wallenfang, F. Koster, M. Griebel, B. Diekmann, and P. Schulze-Lammers. Tracermessungen zur Validierung von Geruchsmodellen. Landtechnik-net, 2, 2001. refereed electronical journal.
bib ]
[3] J. Garcke and M. Griebel. On the parallelization of the sparse grid approach for data mining. 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, pages 22-32. Springer, 2001. also as SFB 256 Preprint 721, Universität Bonn, 2001.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[4] J. Garcke and M. Griebel. Data mining with sparse grids using simplicial basis functions. In F. Provost and R. Srikant, editors, Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, USA, pages 87-96, 2001. also as SFB 256 Preprint 713, Universität Bonn, 2001.
bib | http | .ps.gz 1 | .pdf 1 | Abstract ]
[5] J. Garcke, M. Griebel, and M. Thess. Data mining with sparse grids. Computing, 67(3):225-253, 2001. also as SFB 256 Preprint 675, Institut für Angewandte Mathematik, Universität Bonn, 2000.
bib | .pdf (link) | http | .ps.gz 1 | Abstract ]
[6] M. Griebel and F. Kiefer. Generalized hierarchical basis multigrid methods for convection-diffusion problems. SFB Preprint 720, Sonderforschungsbereich 256, Institut für Angewandte Mathematik, Universität Bonn, 2001.
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[7] O. Wallenfang, P. Boeker, F. Koster, R. Croce, M. Griebel, B. Diekmann, and P. Schulze-Lammers. Zeitauflösendes Ausbreitungsmodell für Geruchsemissionen. In Proceedings: 5. Int. Tagung Bau, Technik und Umwelt, pages 86-91, Hohenheim, 2001.
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2000:

[1] M. Griebel, F. Kiefer, and G. Zumbusch. Vorgänge möglichst realitätsnah simulieren. Wissenschaftliches Rechnen als neue Dimension in der Forschung. 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.
bib | .html | Abstract ]
[2] P. Boeker, O. Wallenfang, F. Koster, R. Croce, B. Diekmann, M. Griebel, and P. Schulze-Lammers. The modelling of odour dispersion with time-resolved models. Agrartechnische Forschung, 4:E84-E89, 2000. refereed electronical journal.
bib | .pdf 1 | Abstract ]
[3] A. Caglar and M. Griebel. On the numerical simulation of Fullerene nanotubes: C100.000.000 and beyond! 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.
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[4] S. J. V. Frankland, A. Caglar, D. W. Brenner, and M. Griebel. Reinforcement mechanisms in polymer nanotube composites: Simulated non-bonded and cross-linked systems. In Proceedings of the MRS Fall Meeting, 2000.
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[5] J. Garcke and M. Griebel. On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique. Journal of Computational Physics, 165(2):694-716, 2000. also as SFB 256 Preprint 670, Institut für Angewandte Mathematik, Universität Bonn, 2000.
bib | http | .ps.gz 1 | .pdf 1 | Abstract ]
[6] M. Griebel. Es ist nicht ganz klar, dass es nicht geht. In Numerische Simulation als interdisziplinäre Herausforderung, Beiträge zum 60. Geburtstag von Christoph Zenger, 2000.
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[7] M. Griebel and S. Knapek. Optimized tensor-product approximation spaces. Constructive Approximation, 16(4):525-540, 2000.
bib | .ps.gz 1 | Abstract ]
[8] M. Griebel and F. Koster. Adaptive wavelet solvers for the unsteady incompressible Navier Stokes equations. 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. also as Report SFB 256 No. 669, Institut für Angewandte Mathematik, Universität Bonn, 2000.
bib | .ps.gz 1 | Abstract ]
[9] M. Griebel and M. A. Schweitzer. A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDE. SIAM J. Sci. Comp., 22(3):853-890, 2000. also as SFB Preprint 600, SFB 256, Institut für Angewandte Mathematik, Universität Bonn.
bib | .ps.gz 1 | Abstract ]
[10] M. Griebel and G. W. Zumbusch. Parallel adaptive subspace correction schemes with applications to elasticity. Computer Methods in Applied Mechanics and Engineering, 184:303-332, 2000.
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[11] M. Griebel and G. W. Zumbusch. Preface. Computing, 64(4):287, 2000. (guest editors) special issue multigrid methods.
bib | http | Abstract ]
[12] F. Koster, K. Schneider, M. Griebel, and M. Farge. Adaptive wavelet methods for the Navier-Stokes equations. In E. Hirschel, editor, DFG/CNRS Workshop, Berlin, 1999, Notes on Numerical Fluid Mechanics. Vieweg-Verlag, Braunschweig, 2000.
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1999:

[1] H.-J. Bungartz and M. Griebel. A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives. J. Complexity, 15:167-199, 1999. also as Report No 524, SFB 256, Univ. Bonn, 1997.
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[2] A. Caglar, M. Griebel, M. A. Schweitzer, and G. Zumbusch. Dynamic load-balancing of hierarchical tree algorithms on a cluster of multiprocessor PCs and on the Cray T3E. 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.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[3] M. Griebel and S. Knapek. Optimized approximation spaces for operator equations. Technical Report 568, SFB 256, Univ. Bonn, 1999.
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[4] M. Griebel, W. Merz, and T. Neunhoeffer. Mathematical modelling and numerical simulation of freezing processes of a supercooled melt under consideration of density changes. Computing and Visualization in Science, 3:1-19, 1999. also as Report No 513, SFB 256, Univ. Bonn, 1997.
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[5] M. Griebel, P. Oswald, and T. Schiekofer. Sparse grids for boundary integral equations. Numer. Mathematik, 83(2):279-312, 1999. also as SFB 256 report 554, Universität Bonn.
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[6] M. Griebel and T. Schiekofer. An adaptive sparse grid Navier-Stokes solver in 3D based on finite differences. In H. Bock, G. Kanschat, R. Rannacher, F. Brezzi, R. Glowinski, Y. Kuznetsov, and J. Periaux, editors, Proceedings ENUMATH97, Heidelberg, 1999. World Scientific Publishing.
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[7] M. Griebel and T. Schiekofer. PAR-CVD: Entwicklung leistungsfähiger paralleler Berechnungsverfahren zur Untersuchung und Optimierung von CVD-Prozessen, chapter 7, Effiziente Algorithmen auf dünnen Gittern, pages 53-96. Berichte aus der Strömungsmechanik. Shaker, Aachen, 1999. L. Kadinski (ed.).
bib | Abstract ]
[8] M. Griebel and G. W. Zumbusch. Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. Parallel Computing, 25:827-843, 1999.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[9] M. Griebel and G. W. Zumbusch. Adaptive sparse grids for hyperbolic conservation laws. 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, pages 411-422, Basel, Switzerland, 1999. Birkhäuser.
bib | .ps.gz 1 | .pdf 1 | Abstract ]
[10] M. A. Schweitzer, G. W. Zumbusch, and M. Griebel. Parnass2: A cluster of dual-processor PCs. In W. Rehm and T. Ungerer, editors, Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe, number CSR-99-02 in Chemnitzer Informatik Berichte, pages 45-54, Chemnitz, Germany, 1999. TU Chemnitz.
bib | .ps.gz 1 | .pdf 1 | Abstract ]

1998:

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

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

[1] H.-J. Bungartz, M. Griebel, D. Röschke, and C. Zenger. A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation. 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.
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[2] H.-J. Bungartz, M. Griebel, and C. Zenger. Einführung in die Computergraphik: Grundlagen, Geometrische Modellierung, Algorithmen. Vieweg, Braunschweig, 1996.
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[3] M. Griebel, W. Huber, and C. Zenger. Numerical turbulence simulation on a parallel computer using the combination method. 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.
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[4] M. Griebel and T. Neunhoeffer. Parallel point- and domain-oriented multilevel methods for elliptic pde's on workstation networks. J. Comp. Appl. Math., 66:267-278, 1996.
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[5] N. Rösch, S. Krüger, M. Griebel, and C. Zenger. Quantenchemie auf Parallelrechnern, Zur Perspektive der Dichtefunktionaltheorie. In Proceedings der BMWF-Tagung HPSC95, Aachen, 1996.
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1995:

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

[1] H.-J. Bungartz, M. Griebel, D. Röschke, and C. Zenger. Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems. 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.
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[2] H.-J. Bungartz, M. Griebel, D. Röschke, and C. Zenger. Pointwise convergence of the combination technique for the Laplace equation. East-West J. Numer. Math., 2:21-45, 1994. also as SFB-Bericht 342/16/93A, Institut für Informatik, TU München, 1993.
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[3] H.-J. Bungartz, M. Griebel, and U. Rüde. Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems. 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.
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[4] T. Grauschopf and M. Griebel. Parallelization of a multigrid algorithm on the KSR1. 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.
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[5] M. Griebel. A domain decomposition method using sparse grids. In A. Quarteroni, editor, Contemporary Mathematics, Vol. 157, DDM6, pages 255-261. American Mathematical Society, 1994.
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[6] M. Griebel. Parallel point-oriented multilevel methods. In P. Hemker and P. Wesseling, editors, Multigrid Methods IV, International Series of Numerical Mathematics, EMG93, pages 215-232. Birkhäuser Verlag, 1994.
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[7] M. Griebel. Multilevel algorithms considered as iterative methods on semidefinite systems. SIAM Int. J. Sci. Stat. Comput., 15(3):547-565, 1994.
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[8] M. Griebel. Domain-oriented multilevel methods. In D. Keyes and J. Xu, editors, Contemporary Mathematics, Vol. 180, DDM7, pages 223-229. American Mathematical Society, 1994.
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[9] M. Griebel. Multilevelmethoden als Iterationsverfahren über Erzeugendensystemen. Teubner Skripten zur Numerik. Teubner, Stuttgart, 1994.
bib | Cover | amazon.de | Abstract ]
[10] M. Griebel and W. Huber. Turbulence simulation on sparse grids using the combination method. Technical report, SFB Bericht 342/19/94A, Institut für Informatik, TU München, 1994.
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[11] M. Griebel and T. Neunhoeffer. A domain-oriented multilevel algorithm - implementation and parallelization. Technical report, SFB Bericht 342/18/94A, Institut für Informatik, TU München, 1994.
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[12] M. Griebel and P. Oswald. On additive Schwarz preconditioners for sparse grid discretizations. Numer. Math., 66:449-464, 1994. Also as Bericht Math/92/7, Institut für Angewandte Mathematik, Friedrich-Schiller-Universität Jena, 1992.
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1993:

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

[1] M. Griebel. Eine Kombinationstechnik für die Lösung von Dünn-Gitter-Problemen auf Multiprozessor-Maschinen. In W. H. H.G. Bock and R. Rannacher, editors, Numerische Algorithmen auf Transputer-Systemen. Teubner Skripten zur Numerik, Teubner Verlag, Stuttgart, 1992.
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[2] M. Griebel. Multilevel algorithms considered as iterative methods on indefinite systems. 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.
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[3] M. Griebel. The combination technique for the sparse grid solution of PDEs on multiprocessor machines. Parallel Processing Letters, 2(1):61-70, 1992. also as SFB Bericht 342/14/91 A, Institut für Informatik, TU München, 1991.
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[4] M. Griebel, W. Huber, U. Rüde, and T. Störtkuhl. The combination technique for parallel sparse-grid-preconditioning or -solution of PDEs on workstation networks. 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.
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[5] M. Griebel, M. Schneider, and C. Zenger. A combination technique for the solution of sparse grid problems. In P. de Groen and R. Beauwens, editors, Iterative Methods in Linear Algebra, pages 263-281. IMACS, Elsevier, North Holland, 1992. also as SFB Bericht, 342/19/90 A, Institut für Informatik, TU München, 1990.
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[6] M. Griebel, C. Zenger, and S. Zimmer. Improved multilevel algorithms for full and sparse grid problems. SFB-Report 342/15/92 A, Technische Universität München, 1992.
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1991:

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

[1] M. Griebel. Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen Transformations-Mehrgitter-Methode. Technical report, SFB Bericht 342/4/90 A, Institut für Informatik, TU München, 1990.
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1989:

[1] I. Babuška, M. Griebel, and J. Pitkaranta. The problem of selecting the shape functions for a p-type finite element. Int. J. Num. Meth. Engin., 28:1891-1908, 1989. also as Report MD88-36-IB-MG-JP, TR88-36, University of Maryland, IPST, College Park, 1988.
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1988:

[1] M. Griebel and C. Reithmeir. Senegal mit Gambia und Mauretanien. Hayit Verlag, Köln, 1988.
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1987:

[1] M. Griebel. On the combination of the ideas of multilevel solvers using hierarchical bases and the substructuring technique for the finite element method. Technical report, Bericht I8709, Institut für Informatik, TU München, 1987.
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1986:

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