Numerical method of bicharacteristics for hyperbolic partial functional differential equations (Q835744)
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scientific article; zbMATH DE number 5600103
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical method of bicharacteristics for hyperbolic partial functional differential equations |
scientific article; zbMATH DE number 5600103 |
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Numerical method of bicharacteristics for hyperbolic partial functional differential equations (English)
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31 August 2009
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This paper is concerned with numerical approximation schemes for first order differential equations. Under the assumption of a Perron condition satisfied by the data, the author uses the bicharacteristics method to construct a stable and convergent numerical scheme. This method has the potential for applications to first-order nonlinear differential equations with deviated variables and first-order integral differential equations.
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bicharacteristics method
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Perron condition
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convergence
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stability
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first-order nonlinear differential equations with deviated variables
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first-order integral differential equation
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