High-order Taylor-Galerkin methods for linear hyperbolic systems (Q1902374)
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scientific article; zbMATH DE number 818552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High-order Taylor-Galerkin methods for linear hyperbolic systems |
scientific article; zbMATH DE number 818552 |
Statements
High-order Taylor-Galerkin methods for linear hyperbolic systems (English)
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7 January 1996
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A new family of stable high-order Taylor-Galerkin (TG) methods for the numerical solution of first-order hyperbolic systems is presented. A multistage process can be used that produces schemes of order \(2s\) for \(s\)-stages, each of which involves the solution of a second-order system of elliptic equations. The schemes are unconditionally stable which makes them very attractive to use \(hp\)-finite element methods for spatial approximation. With a proper choice of parameters, TG methods can be unconditionally stable for certain classes of problems.
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unconditional stability
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Taylor-Galerkin methods
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first-order hyperbolic systems
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\(hp\)-finite element methods
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