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Explicit two-step peer methods

✍ Scribed by Rüdiger Weiner; Katja Biermann; Bernhard A. Schmitt; Helmut Podhaisky

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
590 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 on several representative nonstiff problems. The comparison with ODE45 confirms the high potential of the new class of methods.

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