Explicit two-step peer methods

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Abstract

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.

Keywords

Explicit peer methods
Nonstiff ODE systems
Zero stability
Stability region
General linear methods

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