Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation (Q1358137)
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scientific article; zbMATH DE number 1027743
| Language | Label | Description | Also known as |
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| English | Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation |
scientific article; zbMATH DE number 1027743 |
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Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation (English)
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30 June 1997
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The authors consider methods for the numerical integration in time for the Korteweg-de Vries equations and show that for soliton solutions the error for conservative schemes consists of a phase error growing linearly in time plus a complementary term bounded uniformly in time. They also analyse the error for general schemes. Numerical examples are presented.
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error propagation
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conservative difference schemes
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numerical examples
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Korteweg-de Vries equations
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soliton solutions
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