| Title | Dimension splitting for time dependent operators |
| Authors | Eskil Hansen, Alexander Ostermann |
| Alternative Location | http://aimsciences.org/jour..., Restricted Access |
| Publication | Discrete and Continuous Dynamical Systems |
| Year | 2009 |
| Volume | 2009 suppl. |
| Pages | 322 - 332 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | American Institute of Mathematical Sciences |
| Abstract English | In this paper we are concerned with the convergence analysis of splitting methods for nonautonomous abstract evolution equations. We introduce a framework that allows us to analyze the popular Lie, Peaceman-Rachford and Strang splittings for time dependent operators. Our framework is in particular suited for analyzing dimension splittings. The influence of<br> boundary conditions is discussed. |
| Keywords | convergence, variable time steps, dimension splitting, Nonautonomous linear problems, Lie splitting, exponential splitting, stability, Peaceman-Rachford splitting, |
| ISBN/ISSN/Other | ISSN: 1078-0947 |
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