On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems (Q915391)
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scientific article; zbMATH DE number 4151759
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems |
scientific article; zbMATH DE number 4151759 |
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On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems (English)
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1990
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This paper is concerned with the construction of partitioned linearly implicit Runge-Kutta methods for stiff singularly perturbed problems as well as differential algebraic systems of index 1. The partitioned methods consist of an explicit Runge-Kutta method for the non-stiff subsystem and a linearly implicit method for the stiff subsystem. Order conditions are derived which allow the construction of methods with arbitrary global order. Some numerical examples illustrate these theoretical results.
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partitioned linearly implicit Runge-Kutta methods
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stiff singularly perturbed problems
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differential algebraic systems of index 1
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Order conditions
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global order
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numerical examples
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