20th GAMM-Seminar Leipzig on
Numerical Methods for Non-Local Operators

Max-Planck-Institute for Mathematics in the Sciences
Inselstr. 22-26, D-04103 [O->]Leipzig
Phone: +49.341.9959.752, Fax: +49.341.9959.999

  20th GAMM-Seminar
January, 22th-24th, 2004
  Winterschool on hierarchical matrices  
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  Abstract Tim Kelley, Fri, 11.30-12.00 Previous Contents Next  
  Multilevel and Newton-Krylov Methods for some Parameter-Dependent Compact Fixed Point Problems
Tim Kelley (University North Carolina)

In this talk we discuss aspects of two algorithms for a class of parameter-dependent compact fixed point problems. If the compactness is a result of the use of a short-time temporal integration as a nonlinear preconditioner, we show how the rate of convergence of the linear iteration in a Newton-Krylov method is related to the dimension of the inertial manifold. We then discuss some observations on construction of multilevel methods that accurately resolve turning points and asymptotes for such problems.

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Last updated:
30.11.2004 Impressum
Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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