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Effective order strong stability preserving Runge–Kutta methods

Abstract:

We apply the concept of effective order to strong stability preserving (SSP) explicit Runge–Kutta methods. Relative to classical Runge–Kutta methods, effective order methods are designed to satisfy a relaxed set of order conditions, but yield higher order accuracy when composed with special starting and stopping methods. The relaxed order conditions allow for greater freedom in the design of effective order methods. We show that this allows the construction of four-stage SSP methods with effe...

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Y. Hadjimichael More by this author
C. B. Macdonald More by this author
D. I. Ketcheson More by this author
J. H. Verner More by this author
Publication date:
2012
URN:
uuid:4578cfff-1455-430c-b630-187a46885853
Local pid:
oai:eprints.maths.ox.ac.uk:1568

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