Publications


monographs, expositions

[1] M. Griebel, S. Knapek, and G. Zumbusch. Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications, volume 5 of Texts in Computational Science and Engineering. Springer, Berlin, Heidelberg, 2007. [ bib | http | Abstract ]
[2] M. Griebel, S. Knapek, G. Zumbusch, and A. Caglar. Numerische Simulation in der Moleküldynamik. Numerik, Algorithmen, Parallelisierung, Anwendungen. Springer, Berlin, Heidelberg, 2004. [ bib | http | Abstract ]
[3] G. Zumbusch. Parallel Multilevel Methods. Adaptive Mesh Refinement and Loadbalancing. Advances in Numerical Mathematics. Teubner, 2003. [ bib | http | Abstract ]
[4] 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 | .ps.gz | .pdf | Abstract ]
[5] M. Griebel and G. W. Zumbusch. Preface. Computing, 64(4):287, 2000. (guest editors) special issue multigrid methods. [ bib | http | Abstract ]
[6] G. W. Zumbusch. Simultanous h-p Adaptation in Multilevel Finite Elements. ISBN 3-8265-1136-0. Shaker, Aachen, Germany, 1996. Informatik, FU Berlin, 1995. [ bib | .ps.gz | .pdf | Abstract ]

refereed journals, refereed proceedings

[1] G. Zumbusch. Vectorized higher order finite difference kernels. In P. Manninen and P. Öster, editors, PARA 2012, State-of-the-Art in Scientific and Parallel Computing, volume 7782 of LNCS, pages 343--357, Heidelberg, 2013. Springer. [ bib | .ps.gz | .pdf | Abstract ]
[2] G. Zumbusch. Tuning a finite difference computation for parallel vector processors. In M. Bader, H.-J. Bungartz, D. Grigoras, M. Mehl, R.-P. Mundani, and R. Potolea, editors, 2012 11th International Symposium on Parallel and Distributed Computing, CPS, pages 63--70. IEEE Press, 2012. DOI 10.1109/ISPDC.2012.17. [ bib | .pdf | Abstract ]
[3] G. Zumbusch. Finite Element, Discontinuous Galerkin, and Finite Difference evolution schemes in spacetime. Class. Quantum Grav., 26:175011, 2009. [ bib | .ps | .pdf | Abstract ]
[4] G. Zumbusch. Portable multi-level parallel programming for cell processor, gpu, and clusters. In Proc. Para08, LNCS, Heidelberg, 2009. Springer. [ bib | http | .ps.gz | .pdf | Abstract ]
[5] G. Zumbusch. A container-iterator parallel programming model. In R. Wyrzykowskii, J. Dongarra, K. Karczewski, and J. Wasniewski (PPAM 2007), editors, Parallel Processing and Applied Mathematics, volume 4967 of LNCS, pages 1130--1139, Heidelberg, 2008. Springer. [ bib | http | .ps.gz | .pdf | Abstract ]
[6] G. Zumbusch. Data dependence analysis for parallel tree codes. In B. Kågström, E. Elmroth, J. Dongarra, and J. Wasniewski, editors, Applied Parallel Computing. State of the Art in Scientific Computing (PARA 2006), volume 4699 of LNCS, pages 890--899, Heidelberg, 2007. Springer. DOI 10.1007/978-3-540-75755-9_106. [ bib | http | .ps.gz | .pdf | Abstract ]
[7] G. Zumbusch. Data parallel iterators for hierarchical grid and tree algorithms. In W. E. Nagel, W. V. Walter, and W. Lehner, editors, Euro-Par 2006 Parallel Processing, volume 4128 of LNCS, pages 625--634, Heidelberg, 2006. Springer. DOI 10.1007/11823285_65. [ bib | http | .ps.gz | .pdf | Abstract ]
[8] G. W. Zumbusch. On the quality of space-filling curve induced partitions. Z. Angew. Math. Mech., 81:25--28, 2001. Suppl. 1, also as report SFB 256, University Bonn, no. 674, 2000. [ bib | .ps.gz | .pdf | Abstract ]
[9] 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. [ bib | .ps.gz | .pdf | Abstract ]
[10] R. Hochmuth, S. Knapek, and G. Zumbusch. Tensor products of Sobolev spaces and applications. submitted, 2000. also as Technical Report 685, SFB 256, Univ. Bonn. [ bib | .ps.gz | .pdf | Abstract ]
[11] G. W. Zumbusch. A sparse grid PDE solver. In H. P. Langtangen, A. M. Bruaset, and E. Quak, editors, Advances in Software Tools for Scientific Computing, volume 10 of Lecture Notes in Computational Science and Engineering, chapter 4, pages 133--177. Springer, Berlin, Germany, 2000. (Proceedings SciTools '98). [ bib | Zentralblatt Math | .ps.gz | .pdf | Abstract ]
[12] 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 | .pdf | Abstract ]
[13] 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 | .pdf | Abstract ]
[14] 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 | .pdf | Abstract ]
[15] G. Zumbusch. Dynamic loadbalancing in a lightweight adaptive parallel multigrid PDE solver. In B. Hendrickson, K. Yelick, C. Bischof, I. Duff, A. Edelman, G. Geist, M. Heath, M. Heroux, C. Koelbel, R. Schrieber, R. Sinovec, and M. Wheeler, editors, Proceedings of 9th SIAM Conference on Parallel Processing for Scientific Computing (PP 99), San Antonio, Texas, ISBN 0-89871-435-4, page 10, Philadelphia, PA, 1999. SIAM. [ bib | .ps.gz | .pdf | Abstract ]
[16] G. W. Zumbusch. A parallel adaptive multigrid method. In W. Hackbusch and S. Sauter, editors, Proceedings of the 15th GAMM-Seminar Kiel on Numerical Techniques for Composite Materials, Notes on Numerical Fluid Mechanics, Wiesbaden, Germany, 1999. Vieweg. submitted. [ bib | .ps.gz | .pdf | Abstract ]
[17] A. M. Bruaset, H. P. Langtangen, and G. W. Zumbusch. Domain decomposition and multilevel methods in Diffpack. In P. E. Bjørstad, M. S. Espedal, and D. E. Keyes, editors, Proceedings of Domain Decomposition Methods 9, DD9, pages 655--662, Bergen, Norway, 1998. Domain Decomposition Press. also as report STF42 F96017, Sintef Applied Mathematics, Oslo, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[18] 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 | .pdf | Abstract ]
[19] M. Griebel and G. W. Zumbusch. Parallel multigrid in an adaptive PDE solver based on hashing. In E. D'Hollander, G.R. Joubert, F.J. Peters, and U. Trottenberg, editors, Parallel Computing: Fundamentals, Applications and New Directions, number 12 in Advances in Parallel Computing, pages 589--600, Amsterdam, The Netherlands, 1998. Elsevier. Proceedings of ParCo 97, Bonn, Germany. [ bib | .ps.gz | .pdf | Abstract ]
[20] T. Schiekofer and G. W. Zumbusch. Software concepts of a sparse grid finite difference code. In W. Hackbusch and G. Wittum, editors, Proceedings of the 14th GAMM-Seminar Kiel on Concepts of Numerical Software, Notes on Numerical Fluid Mechanics, page 11, Wiesbaden, Germany, 1998. Vieweg. submitted. [ bib | .ps.gz | .pdf | Abstract ]
[21] G. W. Zumbusch. Symmetric hierarchical polynomials and the adaptive h-p-version. Houston Journal of Mathematics, pages 529--540, 1996. Proceedings of the Third International Conference on Spectral and High Order Methods, ICOSAHOM'95, also as report SC-95-18 ZIB, Berlin. [ bib | .ps.gz | .pdf | Abstract ]
[22] G. W. Zumbusch. Adaptive h-p approximation procedures, graded meshes and anisotropic refinement for numerical quadrature. In F. Brezzi, J. Periaux, R. Glowinski, R. Rannacher, and Yu. Kuznetsov, editors, Proceedings of The First European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 95, page 12, 1995. accepted, also as report SC-95-24 ZIB, Berlin. [ bib | .ps.gz | .pdf | Abstract ]

unrefereed proceedings, technical reports

[1] G. Zumbusch. Tuning a finite difference stencil. Poster, GPU Technology Conference 2012 (GTC), San Jose, CA, 2012. [ bib | .pdf ]
[2] G. Zumbusch. Galerkin schemes for general relativity. Poster, Advances and Challenges in Computational General Relativity (ACCGR), Brown University, 2011. [ bib | .pdf | Abstract ]
[3] X. Cai, A. M. Bruaset, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito, and G. Zumbusch. Performance modeling of pde solvers. In H. P. Langtangen and A. Tveito, editors, Advanced Topics in Computational Partial Differential Equations, volume 33 of Lecture Notes in Computational Science and Engineering, chapter 9, pages 361--400. Springer, Berlin, Germany, 2003. [ bib | .ps.gz | .pdf | Abstract ]
[4] K.-A. Mardal, G. W. Zumbusch, and H. P. Langtangen. Software tools for multigrid methods. In H. P. Langtangen and A. Tveito, editors, Advanced Topics in Computational Partial Differential Equations, volume 33 of Lecture Notes in Computational Science and Engineering, chapter 3, pages 97--152. Springer, Berlin, Germany, 2003. [ bib | Abstract ]
[5] M. Griebel and G. Zumbusch. Hash based adaptive parallel multilevel methods with space-filling curves. In Horst Rollnik and Dietrich 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 | .pdf | Abstract ]
[6] G. Zumbusch. Load balancing for adaptively refined grids. Proc. Appl. Math. Mech., (1):534--537, 2002. also as report 722 SFB 256, University Bonn. [ bib | .ps.gz | .pdf | Abstract ]
[7] G. W. Zumbusch. Parallel adaptively refined sparse grids. In E. Dick, K. Riemslagh, and J. Vierendeels, editors, Multigrid Methods VI, volume 14 of Lecture Notes in Computational Science and Engineering, pages 285--292. Springer, Berlin, Germany, 2000. (Proceedings EMG 6). [ bib | .ps.gz | .pdf | Abstract ]
[8] 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 | .pdf | Abstract ]
[9] 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. [ bib | .ps.gz | .pdf | Abstract ]
[10] M. Korzen, R. Schriever, K.-U. Ziener, O. Paetsch, and G. W. Zumbusch. Real-time 3-d visualization of surface temperature fields measured by thermocouples on steel structures in fire engineering. In J. Ziebs, J. Bressers, H. Frenz, D. R. Hayhurst, H. Klingelhöffer, and S. Forest, editors, Proceedings of International Symposium Local Strain and Temperature Measurements in Non-Uniform Fields at Elevated Temperatures, pages 253--262, Camridge, UK, 1996. Woodhead Pub. [ bib | .ps.gz | .pdf | Abstract ]
[11] G. W. Zumbusch. Multigrid methods in Diffpack. Technical Report STF42 F96016, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[12] G. W. Zumbusch. Overlapping domain decomposition methods in Diffpack. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[13] G. W. Zumbusch. Schur complement domain decomposition methods in Diffpack. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[14] G. W. Zumbusch. Multigrid applied to different partial differential operators. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[15] G. W. Zumbusch. Multigrid on different grids. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[16] G. W. Zumbusch. Multigrid for different finite difference equations. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[17] G. W. Zumbusch. Multigrid methods for finite differences. Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996. [ bib | .ps.gz | .pdf | Abstract ]
[18] Å. Ødegård and G. W. Zumbusch. Graphview - en java og cgi-pakke for 3d grafikk. Technical Report 9, Sintef Applied Mathematics, Oslo, Norway, 1996. STIM working notes. [ bib | .ps.gz | .pdf | Abstract ]
[19] Ch. Schütte, M. Dinand, G. W. Zumbusch, and R. Brinkmann. Dynamics of Erbium-doped waveguide lasers: Modelling, reliable simulation, and comparison with experiments. Technical Report SC-95-19, Konrad-Zuse-Zentrum, Berlin, Germany, 1995. [ bib | .ps.gz | .pdf | Abstract ]
[20] G. W. Zumbusch. Visualizing functions of the h-p-version of finite elements. Technical Report TR-94-05, Konrad-Zuse-Zentrum, Berlin, Germany, 1994. [ bib | .ps.gz | .pdf | Abstract ]
[21] G. W. Zumbusch. Symmetric hierarchical polynomials for the h-p-version of finite elements. Technical Report SC-93-32, Konrad-Zuse-Zentrum, Berlin, Germany, 1993. [ bib | .ps.gz | .pdf | Abstract ]
[22] G. W. Zumbusch. Adaptive parallele Multilevel-Methoden zur Lösung elliptischer Randwertprobleme. Technical Report 342/19/91 A, SFB 342, TU München, Munich, Germany, 1991. [ bib | .ps.gz | .pdf | Abstract ]

thesis

[1] G. W. Zumbusch. Adaptive Parallel Multilevel Methods for Partial Differential Equations. Habilitation, Universität Bonn, 2001. [ bib | Abstract ]
[2] G. W. Zumbusch. Simultanous h-p Adaptation in Multilevel Finite Elements. Doktorarbeit, Fachbereich Mathematik und Informatik, FU Berlin, 1995. [ bib | .ps.gz | .pdf | Abstract ]
[3] G. W. Zumbusch. Adaptive parallele Multilevel-Methoden zur Lösung elliptischer Randwertprobleme. Diplomarbeit, Mathematisches Institut, TU München, Munich, Germany, 1992. [ bib | .ps.gz | .pdf | Abstract ]


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