| Title | A second-order positivity preserving scheme for semilinear parabolic problems |
| Authors | Eskil Hansen, Kramer Felix, Ostermann Alexander |
| Full-text | Available as PDF |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Applied Numerical Mathematics |
| Year | 2012 |
| Volume | 62 |
| Issue | 10 |
| Pages | 1428 - 1435 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract 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. |
| Keywords | positivity, convergence, stability, semilinear parabolic problems, Strang splitting, invariant sets., |
| ISBN/ISSN/Other | ISSN: 1873-5460 (online) |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)