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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.


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High-Order Finite Difference Methods, Mu
✍ Jan Nordström; Mark H. Carpenter 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 228 KB

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