Staff Prof. Dr. Gerhard Zumbusch

Mr. Zumbusch is now at Friedrich-Schiller-Universität Jena. This page is no longer maintained.

Current Research Projects

Publications

Monographs, expositions

  1. Numerical Simulation in Molecular Dynamics. M. Griebel, S. Knapek, and G. Zumbusch. Springer, Berlin, Heidelberg, 2007. BibTeX Springer
  2. Numerische Simulation in der Moleküldynamik. Numerik, Algorithmen, Parallelisierung, Anwendungen. M. Griebel, S. Knapek, G. Zumbusch, and A. Caglar. Springer, Berlin, Heidelberg, 2003. BibTeX Link
  3. Parallel Multilevel Methods. Adaptive Mesh Refinement and Loadbalancing. G. Zumbusch. Teubner, 2003. BibTeX Link
  4. Vorgänge möglichst realitätsnah simulieren. Wissenschaftliches Rechnen als neue Dimension in der Forschung. M. Griebel, F. Kiefer, and G. Zumbusch. Bonner Universitätsnachrichten, 217:48–49, January 2000. also as `Simulating Processes as Realistically as Possible', Bonn University News International (BUNI), 7:28–29, November 2000. BibTeX Link
  5. Preface. M. Griebel and G. W. Zumbusch. Computing, 64(4):287, 2000. (guest editors) special issue multigrid methods. BibTeX
  6. Simultanous h-p Adaptation in Multilevel Finite Elements. G. W. Zumbusch. ISBN 3-8265-1136-0. Shaker, Aachen, Germany, 1996. BibTeX PostScript PDF PostScript

Refereed journals, refereed proceedings

  1. On the quality of space-filling curve induced partitions. G. W. Zumbusch. Z. Angew. Math. Mech., 81:25–28, 2001. Suppl. 1, also as report SFB 256, University Bonn, no. 674, 2000. BibTeX PostScript PDF
  2. Parallel adaptive subspace correction schemes with applications to elasticity. M. Griebel and G. W. Zumbusch. Computer Methods in Applied Mechanics and Engineering, 184:303–332, 2000. BibTeX PostScript PDF
  3. A sparse grid PDE solver. G. W. Zumbusch. 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. BibTeX PostScript PDF
  4. Dynamic load-balancing of hierarchical tree algorithms on a cluster of multiprocessor PCs and on the Cray T3E. A. Caglar, M. Griebel, M. A. Schweitzer, and G. Zumbusch. In H. W. Meuer, editor, Proceedings 14th Supercomputer Conference, Mannheim, ISBN 3-932178-08-4. Mannheim, Germany, 1999. Mateo. SuParCup '99 Award Winning Paper, also as SFB 256 report 27. BibTeX PostScript PDF
  5. Adaptive sparse grids for hyperbolic conservation laws. M. Griebel and G. W. Zumbusch. In M. Fey and R. Jeltsch, editors, Hyperbolic Problems: Theory, Numerics, Applications. 7th International Conference in Zürich, February 1998, volume 1 of International Series of Numerical Mathematics 129, 411–422. Basel, Switzerland, 1999. Birkhäuser. BibTeX PostScript PDF
  6. Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. M. Griebel and G. W. Zumbusch. Parallel Computing, 25:827–843, 1999. BibTeX PostScript PDF
  7. Dynamic loadbalancing in a lightweight adaptive parallel multigrid PDE solver. G. Zumbusch. 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, 10. Philadelphia, PA, 1999. SIAM. BibTeX PostScript PDF
  8. A parallel adaptive multigrid method. G. W. Zumbusch. 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. BibTeX PostScript PDF
  9. Domain decomposition and multilevel methods in Diffpack. A. M. Bruaset, H. P. Langtangen, and G. W. Zumbusch. In P. E. Bjørstad, M. S. Espedal, and D. E. Keyes, editors, Proceedings of Domain Decomposition Methods 9, DD9, 655–662. Bergen, Norway, 1998. Domain Decomposition Press. also as report STF42 F96017, Sintef Applied Mathematics, Oslo, 1996. BibTeX PostScript PDF
  10. Hash-storage techniques for adaptive multilevel solvers and their domain decomposition parallelization. M. Griebel and G. W. Zumbusch. In J. Mandel, C. Farhat, and X.-C. Cai, editors, Proceedings of Domain Decomposition Methods 10, DD10 (1997), number 218 in Contemporary Mathematics, 271–278. Providence, Rhode Island, 1998. AMS. BibTeX PostScript PDF
  11. Parallel multigrid in an adaptive PDE solver based on hashing. M. Griebel and G. W. Zumbusch. In E. D'Hollander, G.R. Joubert, F.J. Peters, and U. Trottenberg, editors, Parallel Computing: Fundamentals, Applications and New Directions, number 12 in Advances in Parallel Computing, 589–600. Amsterdam, The Netherlands, 1998. Elsevier. Proceedings of ParCo 97, Bonn, Germany. BibTeX PostScript PDF
  12. Software concepts of a sparse grid finite difference code. T. Schiekofer and G. W. Zumbusch. In W. Hackbusch and G. Wittum, editors, Proceedings of the 14th GAMM-Seminar Kiel on Concepts of Numerical Software, Notes on Numerical Fluid Mechanics, 11. Wiesbaden, Germany, 1998. Vieweg. submitted. BibTeX PostScript PDF
  13. Symmetric hierarchical polynomials and the adaptive h-p-version. G. W. Zumbusch. 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. BibTeX PostScript PDF
  14. Adaptive h-p approximation procedures, graded meshes and anisotropic refinement for numerical quadrature. G. W. Zumbusch. 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, 12. 1995. accepted, also as report SC-95-24 ZIB, Berlin. BibTeX PostScript PDF

Unrefereed proceedings, technical reports

  1. Hash based adaptive parallel multilevel methods with space-filling curves. M. Griebel and G. Zumbusch. In H. Rollnik and D. Wolf, editors, NIC Symposium 2001, volume 9 of NIC Series, ISBN 3-00-009055-X, 479–492. Germany, 2002. Forschungszentrum Jülich. BibTeX PostScript PDF
  2. Load balancing for adaptively refined grids. G. Zumbusch. Technical Report 722, SFB 256, University Bonn, 2001. BibTeX PostScript PDF
  3. Parallel adaptively refined sparse grids. G. W. Zumbusch. 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. BibTeX PostScript PDF
  4. Parnass2: A cluster of dual-processor PCs. M. A. Schweitzer, G. W. Zumbusch, and M. Griebel. In W. Rehm and T. Ungerer, editors, Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe, number CSR-99-02 in Chemnitzer Informatik Berichte, 45–54. Chemnitz, Germany, 1999. TU Chemnitz. BibTeX PostScript PDF
  5. CPU-measurements of some numerical PDE-applications. A. M. Bruaset, X. Cai, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito, and G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1997. BibTeX PostScript PDF
  6. Parnass: porting gigabit-LAN components to a workstation cluster. M. Griebel and G. W. Zumbusch. In W. Rehm, editor, Proceedings of the 1st Workshop Cluster-Computing, number CSR-97-05 in Chemnitzer Informatik Berichte, 101–124. Chemnitz, Germany, 1997. TU Chemnitz. also as Techn. Report No 19, SFB 256, Univ. Bonn. BibTeX PostScript PDF
  7. Real-time 3-d visualization of surface temperature fields measured by thermocouples on steel structures in fire engineering. M. Korzen, R. Schriever, K.-U. Ziener, O. Paetsch, and G. W. Zumbusch. 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, 253–262. Camridge, UK, 1996. Woodhead Pub. BibTeX
  8. Multigrid applied to different partial differential operators. G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  9. Multigrid methods for finite differences. G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  10. Multigrid for different finite difference equations. G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  11. Multigrid methods in Diffpack. G. W. Zumbusch. Technical Report STF42 F96016, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  12. Multigrid on different grids. G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  13. Overlapping domain decomposition methods in Diffpack. G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  14. Schur complement domain decomposition methods in Diffpack. G. W. Zumbusch. Technical Report, Sintef Applied Mathematics, Oslo, Norway, 1996. BibTeX PostScript PDF
  15. Graphview - en java og cgi-pakke for 3d grafikk. Å. Ødegård and G. W. Zumbusch. Technical Report 9, Sintef Applied Mathematics, Oslo, Norway, 1996. STIM working notes. BibTeX PostScript PDF
  16. Dynamics of Erbium-doped waveguide lasers: modelling, reliable simulation, and comparison with experiments. Ch. Schütte, M. Dinand, G. W. Zumbusch, and R. Brinkmann. Technical Report SC-95-19, Konrad-Zuse-Zentrum, Berlin, Germany, 1995. BibTeX PostScript PDF
  17. Visualizing functions of the h-p-version of finite elements. G. W. Zumbusch. Technical Report TR-94-05, Konrad-Zuse-Zentrum, Berlin, Germany, 1994. BibTeX PostScript PDF
  18. Symmetric hierarchical polynomials for the h-p-version of finite elements. G. W. Zumbusch. Technical Report SC-93-32, Konrad-Zuse-Zentrum, Berlin, Germany, 1993. BibTeX PostScript PDF
  19. Adaptive parallele Multilevel-Methoden zur Lösung elliptischer Randwertprobleme. G. W. Zumbusch. Technical Report 342/19/91 A, SFB 342, TU München, Munich, Germany, 1991. BibTeX PostScript PDF

Theses

  1. Adaptive Parallel Multilevel Methods for Partial Differential Equations. G. W. Zumbusch. Habilitation, Universität Bonn, 2001. BibTeX
  2. Simultanous h-p Adaptation in Multilevel Finite Elements. G. W. Zumbusch. Dissertation, Fachbereich Mathematik und Informatik, FU Berlin, 1995. BibTeX PostScript PDF PostScript
  3. Adaptive parallele Multilevel-Methoden zur Lösung elliptischer Randwertprobleme. G. W. Zumbusch. Diplomarbeit, Mathematisches Institut, TU München, Munich, Germany, 1992. BibTeX PostScript