We present a new class of explicit two-step peer methods for the solution of nonstiff differential systems. A construction principle for methods of order p = s, s the number of stages, with optimal zero-stability is given. Two methods of order p = 6, found by numerical search, are tested in Matlab o
Parallel start for explicit parallel two-step peer methods
✍ Scribed by Bernhard A. Schmitt; Rüdiger Weiner
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 452 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1017-1398
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📜 SIMILAR VOLUMES
We consider explicit two-step peer methods for the solution of nonstiff differential systems. By an additional condition a subclass of optimally zero-stable methods is identified that is superconvergent of order p = s + 1, where s is the number of stages. The new condition allows us to reduce the nu
In this paper, a new group explicit method for solving parabolic equations in 2 dimensions is given. The operation count for the New Group explicit algorithm is presented. The comparison of this method with the method of fractional steps is included. The parallel implementation of this method on a m