Solution of ordinary differential initial value problems on an Intel hypercube (Q1192215)
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scientific article; zbMATH DE number 60649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of ordinary differential initial value problems on an Intel hypercube |
scientific article; zbMATH DE number 60649 |
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Solution of ordinary differential initial value problems on an Intel hypercube (English)
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27 September 1992
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The authors describe an experiment involving the solution of the initial value problem for systems of ordinary differential equations using extrapolation in a parallel processor implementation. Each of \(p\) processors is used to solve the system numerically using a different (fixed) mesh size: \(h_ 1>h_ 2>\dots>h_ p\). As a processor completes its assigned integration at the required mesh points (note that Processor 1 is done before Processor \(p\)) it can be used in the calculation of the extrapolation table. Examples are given along with values observed for the speed-up.
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parallel computation
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fully implicit Runge-Kutta methods
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numerical experiments
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initial value problem
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systems
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extrapolation
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