Step size strategies for the numerical integration of systems of differential equations (Q432821)
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scientific article; zbMATH DE number 6053138
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Step size strategies for the numerical integration of systems of differential equations |
scientific article; zbMATH DE number 6053138 |
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Step size strategies for the numerical integration of systems of differential equations (English)
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4 July 2012
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Initial value problem
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Runge-Kutta method
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error analysis
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Richardson extrapolation
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The authors indicate the mode to chose such step size of a numerical method for an approximate solution of the nonlinear problem NEWLINE\[NEWLINE X'(t)= A X(t) +\varphi (t,X),\qquad X(t_{0})=X_{0},NEWLINE\]NEWLINE such that the local error of the obtained solution is smaller than a desired error. In this case it is more simple to use the known principle of the Richardson extrapolation.
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