Positivity of Runge-Kutta and diagonally split Runge-Kutta methods (Q1294503)
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scientific article; zbMATH DE number 1311261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positivity of Runge-Kutta and diagonally split Runge-Kutta methods |
scientific article; zbMATH DE number 1311261 |
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Positivity of Runge-Kutta and diagonally split Runge-Kutta methods (English)
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22 November 1999
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The author investigates positivity of general Runge-Kutta and diagonally split Runge-Kutta methods for the numerical solution of positive initial value problems for ordinary differential equations. Conditions for the maximal stepsize in term of the radius of positivity of the Runge-Kutta method which guarantees positivity are given. The positivity thresholds for some irreducible Runge-Kutta methods for dissipative problems are computed.
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irreducible Runge-Kutta methods
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diagonally split Runge-Kutta methods
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positivity of Runge-Kutta methods
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maximal stepsize
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