Implicit high-order difference methods and domain decomposition for hyperbolic problems
✍ Scribed by Bertil Gustafsson; Lina Hemmingsson-Frändén
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 76 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0168-9274
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✦ Synopsis
In this paper we use a deferred correction technique to construct high-order accurate finite differencediscretizations for systems of partial differential equations. The method is shown to be particularly well suited for a domain decomposition setting of the problem due to its narrow stencils required on the left-hand side.
📜 SIMILAR VOLUMES
Boundary and interface conditions are derived for high-order finite difference methods applied to multidimensional linear problems in curvilinear coordinates. Difficulties presented by the combination of multiple dimensions and varying coefficients are analyzed. In particular, problems related to no