Analytical and numerical stability of partial differential equations with piecewise constant arguments (Q2874163)
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scientific article; zbMATH DE number 6251489
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytical and numerical stability of partial differential equations with piecewise constant arguments |
scientific article; zbMATH DE number 6251489 |
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Analytical and numerical stability of partial differential equations with piecewise constant arguments (English)
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29 January 2014
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asymptotic stability
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\(\theta\)-method
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piecewise constant argument
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This paper presents a stability analysis for analytic and numerical solutions of partial differential equations featuring piecewise constant arguments of mixed type. First, sufficient conditions for analytical solutions to be asymptotically stable are provided. Next, \(\theta\)-methods are used to solve such equations which yield asymptotical stability for the numerical methods.
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