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Dimension splitting for evolution equations

På svenska

Author

Summary, in English

In this paper, we are concerned with splitting methods for the time integration of abstract evolution equations. We introduce an analytic framework which allows us to prove optimal convergence orders for various splitting methods, including the Lie and Peaceman–Rachford splittings. Our setting is applicable for a wide variety of linear equations and their dimension splittings. In particular, we analyze parabolic problems with Dirichlet boundary conditions, as well as degenerate equations on bounded domains. We further illustrate our theoretical results with a set of numerical experiments.

Publishing year

2008

Language

English

Pages

557-570

Publication/Series

Numerische Mathematik

Volume

108

Issue

4

Document type

Journal article

Publisher

Springer

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 0029-599X