Reducing index, and pseudospectral methods for differential-algebraic equations. (Q1406221)
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scientific article; zbMATH DE number 1978065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reducing index, and pseudospectral methods for differential-algebraic equations. |
scientific article; zbMATH DE number 1978065 |
Statements
Reducing index, and pseudospectral methods for differential-algebraic equations. (English)
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9 September 2003
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A linear, specially structured differential-algebraic equation of index \(m+1\) is considered. Using this structure, an index reduction by one is proposed. For \(m=1\), a Galerkin method with Chebyshev polynomials is used to solve three examples from the literature. The results of the original and the index reduced equations are compared.
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linear differential-algebraic equation
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index reduction
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Galerkin method
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numerical examples
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spectral methods
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