Splitting methods with complex times for parabolic equations
β Scribed by F. Castella; P. Chartier; S. Descombes; G. Vilmart
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 631 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
In this paper we design higher-order time integrators for systems of stiff ordinary differential equations. We combine implicit Runge-Kutta and BDF methods with iterative operator-splitting methods to obtain higher-order methods. The idea of decoupling each complicated operator in simpler operators
## Abstract Splitting methods for timeβdependent partial differential equations usually exhibit a drop in accuracy if boundary conditions become timeβdependent. This phenomenon is investigated for a class of splitting methods for twoβspace dimensional parabolic partial differential equations. A bou