Parallel solution of ODE's by multi-block methods
Journal Article
·
· SIAM J. Sci. Stat. Comput.; (United States)
The notion of linear multi-step methods for solving ordinary differential equations is generalized to a class of multi-block methods. In a multi-block method step values are all obtained together in a single block advance which is accomplished by allocating the parallel tasks on separate processors. The expected benefit of multi-block methods is the speedup in the computation of solutions. The basic formulation is described. Examples are given to demonstrate the existence of such schemes. The predictor-corrector type combination is formed and the resulting stability problem is considered. Test results of one of these multi-block methods on the Denelcor HEP machine are reported.
- Research Organization:
- Dept. of Mathematics, North Carolina State Univ., Raleigh, NC 27695-8205
- OSTI ID:
- 6778486
- Journal Information:
- SIAM J. Sci. Stat. Comput.; (United States), Journal Name: SIAM J. Sci. Stat. Comput.; (United States) Vol. 8:3; ISSN SIJCD
- Country of Publication:
- United States
- Language:
- English
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