Nonlinear stability and D-convergence of additive Runge-Kutta methods for multidelay-integro-differential equations (Q437647)
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scientific article; zbMATH DE number 6058169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear stability and D-convergence of additive Runge-Kutta methods for multidelay-integro-differential equations |
scientific article; zbMATH DE number 6058169 |
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Nonlinear stability and D-convergence of additive Runge-Kutta methods for multidelay-integro-differential equations (English)
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18 July 2012
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Summary: This paper is devoted to the stability and convergence analysis of additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of multidelay-integro-differential equations (MDIDEs). GDN-stability and D-convergence are introduced and proved. It is shown that strongly algebraically stability gives D-convergence, DA- DAS- and ASI-stability give GDN-stability. A numerical example is given to illustrate the theoretical results.
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stability
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convergence
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Runge-Kutta methods
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Lagrangian interpolation
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multidelay-integro-differential equations
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numerical example
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