\(C^ 1\)-collocation semidiscretization of \(u_ t+cu_ x=0:\) Its Fourier analysis and equivalence to the Galerkin method with linear splines (Q1106642)
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scientific article; zbMATH DE number 4062523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^ 1\)-collocation semidiscretization of \(u_ t+cu_ x=0:\) Its Fourier analysis and equivalence to the Galerkin method with linear splines |
scientific article; zbMATH DE number 4062523 |
Statements
\(C^ 1\)-collocation semidiscretization of \(u_ t+cu_ x=0:\) Its Fourier analysis and equivalence to the Galerkin method with linear splines (English)
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1988
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For the hyperbolic equation \(u_ t+cu_ x=0\), the Fourier analysis of \(C^ 1\)-collocation semidiscretization at the Gauss points is performed, using a tridiagonal \(C^ 1\)-collocation, i.e. a 3-point finite difference method proposed previously by the author [ibid. 30, No.4, 299- 309 (1988; Zbl 0651.65062)]. The results are compared with other methods.
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Galerkin method
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linear splines
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Fourier analysis
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collocation
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semidiscretization
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finite difference method
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0.7515889406204224
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