A second-order positivity preserving scheme for semilinear parabolic problems
Författare
Summary, in English
In this paper we study the convergence behaviour and geometric properties of Strang splitting applied to semilinear evolution equations. We work in an abstract Banach space setting that allows us to analyse a certain class of parabolic equations and their spatial discretizations. For this class of problems, Strang splitting is shown to be stable and second-order convergent. Moreover, it is shown that exponential operator splitting methods and in particular the method of Strang will preserve positivity in certain situations. A numerical illustration of the convergence behaviour is included.
Avdelning/ar
- Matematik LTH
- Partial differential equations
- Numerical Analysis
Publiceringsår
2012
Språk
Engelska
Sidor
1428-1435
Publikation/Tidskrift/Serie
Applied Numerical Mathematics
Volym
62
Issue
10
Fulltext
- Available as PDF - 100 kB
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Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- positivity
- convergence
- stability
- semilinear parabolic problems
- Strang splitting
- invariant sets.
Status
Published
Forskningsgrupp
- Partial differential equations
- Numerical Analysis
ISBN/ISSN/Övrigt
- ISSN: 0168-9274