An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results (Q970401)
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scientific article; zbMATH DE number 5708961
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results |
scientific article; zbMATH DE number 5708961 |
Statements
An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results (English)
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17 May 2010
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The authors introduce a set of one-parameter Runge-Kutta methods. The methods are designed to be stiffly accurate and strongly A-stable. They have \(s \geq 3\) stages and they are based on interpolatory numerical integration methods with degree of precision \(2s-4\) and nodes at both end points of the interval of integration. The methods are analyzed and some numerical examples are given.
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Runge-Kutta methods
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collocation methods
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interpolatory quadrature formulae
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strong \(A\)-stability
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stiff systems
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differential algebraic equations (DAEs)
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numerical examples
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