Nonlinearity difficulty in numerical solving of super stiff Cauchy problems (Q2826608)
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scientific article; zbMATH DE number 6640056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinearity difficulty in numerical solving of super stiff Cauchy problems |
scientific article; zbMATH DE number 6640056 |
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17 October 2016
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stiff equations
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step size control
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super stiff Cauchy problems
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chemistry kinetics
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Nonlinearity difficulty in numerical solving of super stiff Cauchy problems (English)
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Stiff ordinary differential equations have a specific feature - they involve a varied size of the integration step on different intervals of time. There were many numerical calculation schemes proposed for effective solution of the so called super stiff Cauchy problem in linear and nonlinear formulations. Here, a chemistry kinetics problem is used as a test problem for checking of the effectiveness and the reliability of some known numerical schemes. A special attention is paid to a procedure of choice of integration steps.
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