Dimension splitting for evolution equations
Författare
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.
Publiceringsår
2008
Språk
Engelska
Sidor
557-570
Publikation/Tidskrift/Serie
Numerische Mathematik
Volym
108
Issue
4
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0029-599X