Skip to main content

Staff Prof. Dr. Peter Oswald

Contact Information

Address:
Institut für Numerische Simulation
Endenicher Allee 19b
53115 Bonn
Germany
E-Mail: ed tod nnob-inu tod sni ta dlawsopa tod b@foo tod de

Research interests

  • Approximation Theory and Algorithms
  • Function Spaces and Applied Harmonic Analysis
  • Multiscale Methods in Scientific Computing
  • Numerical Methods for PDEs
  • Finite Elements, Splines, Wavelets
  • Mathematical Modelling

Selected Lecture notes

Publications

  1. Stochastic subspace correction in Hilbert space. M. Griebel and P. Oswald. Constructive Approximation, 48(3):501–521, 2018. Also available as INS Preprint No. 1717. BibTeX PDF Publisher
  2. Stochastic subspace correction methods and fault tolerance. M. Griebel and P. Oswald. Available as INS Preprint No. 1809, 2018. BibTeX PDF arXiv
  3. Estimates for generalized sparse grid hierarchical basis preconditioners. P. Oswald. Available as INS Preprint No. 1803, 2018. BibTeX PDF arXiv
  4. Haar system as Schauder basis in Besov spaces: the limiting cases for 0 < p ≤ 1. P. Oswald. Available as INS Preprint No. 1810, 2018. BibTeX PDF arXiv
  5. Stable splittings of Hilbert spaces of functions of infinitely many variables. M. Griebel and P. Oswald. Journal of Complexity, 41:126–151, 2017. Also available as INS Preprint No. 1617. BibTeX PDF Publisher
  6. Random reordering in SOR-type methods. P. Oswald and W. Zhou. Numerische Mathematik, 135(4):1207–1220, Apr 2017. BibTeX PDF Publisher
  7. Multi-stage sequential sampling models with finite or infinite time horizon and variable boundaries. A. Diederich and P. Oswald. Journal of Mathematical Psychology, 74:128 – 145, 2016. Foundations of Probability Theory in Psychology and Beyond. BibTeX PDF Publisher
  8. Schwarz iterative methods: Infinite space splittings. M. Griebel and P. Oswald. Constructive Approximation, 44(1):121–139, 2016. Also available as INS Preprint No. 1413. BibTeX PDF Publisher
  9. Nonconforming p1 elements on distorted triangulations: lower bounds for the discrete energy norm error. P. Oswald. INS Preprint No. 1618, 2016. BibTeX PDF
  10. Optimal scaling parameters for sparse grid discretizations. M. Griebel, A. Hullmann, and P. Oswald. Numerical Linear Algebra with Applications, 22(1):76–100, 2015. Also available as INS Preprint No. 1314. BibTeX PDF Publisher
  11. Divergence of FEM: Babuška-Aziz triangulations revisited. P. Oswald. Applications of Mathematics, 60(5):473–484, Oct 2015. BibTeX PDF Publisher
  12. Convergence analysis for Kaczmarz-type methods in a hilbert space framework. P. Oswald and W. Zhou. Linear Algebra and its Applications, 478:131 – 161, 2015. BibTeX PDF Publisher
  13. Sequential sampling model for multiattribute choice alternatives with random attention time and processing order. A. Diederich and P. Oswald. Frontiers in Human Neuroscience, 8:697, 2014. BibTeX Publisher
  14. Greedy and randomized versions of the multiplicative Schwarz method. M. Griebel and P. Oswald. Linear Algebra Appl., 437:1596–1610, 2012. also available as INS Preprint No. 1105. BibTeX PDF Publisher
  15. A Particle-Partition of Unity Method—Part VI: A pp-robust Multilevel Solver. M. Griebel, P. Oswald, and M. A. Schweitzer. 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, 71–92. Springer, 2005. BibTeX PDF PostScript
  16. Sparse grids for boundary integral equations. M. Griebel, P. Oswald, and T. Schiekofer. Numer. Mathematik, 83(2):279–312, 1999. also as SFB 256 report 554, Universität Bonn. BibTeX PostScript
  17. On the abstract theory of additive and multiplicative Schwarz algorithms. M. Griebel and P. Oswald. Numer. Math., 70:163–180, 1995. Also as SFB-Report 342/6/93 A, Institut für Informatik, Technische Universität München, 1993. BibTeX PostScript
  18. Tensor product type subspace splitting and multilevel iterative methods for anisotropic problems. M. Griebel and P. Oswald. Adv. Comput. Math., 4:171–206, 1995. also as SFB-Bericht 342/15/94A, Institut für Informatik, TU München, 1994. BibTeX PostScript
  19. On additive Schwarz preconditioners for sparse grid discretizations. M. Griebel and P. Oswald. Numer. Math., 66:449–464, 1994. Also as Bericht Math/92/7, Institut für Angewandte Mathematik, Friedrich-Schiller-Universität Jena, 1992. BibTeX PDF PostScript Link
  20. Remarks on the theory of additive and multiplicative Schwarz algorithms. M. Griebel and P. Oswald. SFB report 342/6/93A, Institut für Informatik, TU München, 1993. BibTeX PostScript