Implementation of parallel three-point block codes for solving large systems of ordinary differential equations.
The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization acro...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Taylor & Francis
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15124/ http://psasir.upm.edu.my/id/eprint/15124/1/Implementation%20of%20parallel%20three.pdf |
| Summary: | The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization across the method. The methods are in a simple form as Adams Moulton method with the specific aim of gaining efficiency. For large problems, the parallel implementation produced a good speed-up with respect to the sequential timing and hence better efficiency for the methods developed.
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