The numerical stabilities of multiderivative block method (Q1261512)
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scientific article; zbMATH DE number 405018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical stabilities of multiderivative block method |
scientific article; zbMATH DE number 405018 |
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The numerical stabilities of multiderivative block method (English)
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3 January 1994
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This paper investigates \(\ell\)-derivative block methods; i.e., \(\ell\)- derivative \((k+1)\)-stage Runge-Kutta methods of order \(p=(k+1)\ell\), whose internal stage values approximate the solution of \(y'=f(x,y)\) at equidistant points with the same order \(p\). An explicit expression for the stability function is derived and its \(A\)-stability is checked with the help of symbolic computations.
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stiff differential equations
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multiderivative Runge-Kutta methods
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\(A\)- stability
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block methods
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symbolic computations
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0.7774431705474854
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