Spectral methods for initial boundary value problems with nonsmooth data (Q1277038)
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scientific article; zbMATH DE number 1247692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral methods for initial boundary value problems with nonsmooth data |
scientific article; zbMATH DE number 1247692 |
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Spectral methods for initial boundary value problems with nonsmooth data (English)
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2 February 1999
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The author considers an initial-boundary value problem with nonsmooth data for first-order hyperbolic systems. He extends the time domain to minus infinity and replaces the initial condition with a growth one. This new problem is solved using a filtered version of the data by the Galerkin-collocation method with Laguerre and Legendre polynomials in time, respectively space variables. Thus, if the actual solution is piecewise smooth, its pointwise values can be recovered with spectral accuracy.
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spectral methods
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nonsmooth data
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first-order hyperbolic systems
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Galerkin-collocation method
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