Staff Prof. Dr. Peter Oswald

Address:
Institut für Numerische Simulation
Friedrich-Hirzebruch-Allee 7
53115 Bonn
E-Mail: ed tod nnob-inu tod sni ta dlawsoa tod b@foo tod de

Peter Oswald holds a Bonn Research Chair of the Hausdorff Center for Mathematics

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. Hilbert Space Splittings and Iterative Methods. M. Griebel and P. Oswald. Volume 62 of Springer Series in Computational Mathematics. Springer Verlag, 2024. BibTeX Link
  2. Convergence analysis of online algorithms for vector-valued kernel regression. M. Griebel and P. Oswald. Available as INS Preprint No. 2302, 2023. BibTeX PDF
  3. Stochastic subspace correction methods and fault tolerance. M. Griebel and P. Oswald. Math. Comp., 89(321):279–312, 2020. Also available as INS Preprint No. 1809. BibTeX PDF DOI arXiv
  4. Multivariate Haar systems in Besov function spaces. P. Oswald. Submitted to Mat. Sbornik. Available as INS Preprint No. 2002, 2020. BibTeX PDF arXiv
  5. Note on 1D quarklet approximation. P. Oswald. Available as INS Preprint No. 2003, 2020. BibTeX PDF
  6. 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 DOI
  7. Estimates for generalized sparse grid hierarchical basis preconditioners. P. Oswald. Available as INS Preprint No. 1803, 2018. BibTeX PDF arXiv
  8. 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
  9. 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 DOI
  10. Random reordering in SOR-type methods. P. Oswald and W. Zhou. Numerische Mathematik, 135(4):1207–1220, Apr 2017. BibTeX PDF DOI
  11. 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 DOI
  12. 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 DOI
  13. Nonconforming p1 elements on distorted triangulations: lower bounds for the discrete energy norm error. P. Oswald. INS Preprint No. 1618, 2016. BibTeX PDF
  14. 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 DOI
  15. Divergence of FEM: Babuška-Aziz triangulations revisited. P. Oswald. Applications of Mathematics, 60(5):473–484, Oct 2015. BibTeX PDF DOI
  16. 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 DOI
  17. 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 DOI
  18. 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 DOI
  19. 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 PostScript PDF
  20. 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
  21. 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
  22. 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
  23. 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 PostScript PDF Link
  24. 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