A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods (Q2891956)
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scientific article; zbMATH DE number 6047077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods |
scientific article; zbMATH DE number 6047077 |
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18 June 2012
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general linear methods
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two-step Runge-Kutta methods
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G-stability
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algebraic stability
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0.9211281
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0.92045486
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0.91930556
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0.9189143
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0.9188535
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0.91613346
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0.91391426
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A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods (English)
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Based on recent work by Hewitt and Hill, the authors present the practical construction of algebraically stable two-step Runge-Kutta method for ODEs. The analysis for constructing the two-step Runge-Kutta methods of 1-stage and 2-stage is provided. The authors study the implementation of the new derived numerical methods and analyze the orders of the numerical solutions at stage and node.
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