Continuous two-step Runge-Kutta methods for ordinary differential equations (Q973849)
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scientific article; zbMATH DE number 5712403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous two-step Runge-Kutta methods for ordinary differential equations |
scientific article; zbMATH DE number 5712403 |
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Continuous two-step Runge-Kutta methods for ordinary differential equations (English)
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26 May 2010
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The authors develop continuous \(A\)-stable and \(L\)-stable two-step Runge-Kutta methods using some interpolation and collocation conditions for the solution of initial value problems. They also obtain conditions to obtain Runge-Kutta stability. Numerical results are given to support the proposed methods.
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two-step collocation methods
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\(A\)-stability
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\(L\)-stability
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quadratic stability functions
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Runge-Kutta stability
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two-step Runge-Kutta methods
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initial value problems
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numerical results
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