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Aspects of parallel Runge-Kutta methods

Part of the Lecture Notes in Mathematics book series (LNM,volume 1386)

Abstract

So far ODE-solvers have been implemented mostly on sequential computers. This has lead to development of methods that are very difficult to parallelisize. In this paper we discuss how to develop Runge-Kutta methods that lead to parallel implementation on computers with a small number of CPU's. Both explicit and implicit methods are discussed. Some initial experiments on a 2 processor CRAY X-MP and a 6 processor Alliant are presented.

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© 1989 Springer-Verlag

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Nørsett, S.P., Simonsen, H.H. (1989). Aspects of parallel Runge-Kutta methods. In: Bellen, A., Gear, C.W., Russo, E. (eds) Numerical Methods for Ordinary Differential Equations. Lecture Notes in Mathematics, vol 1386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089234

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  • DOI: https://doi.org/10.1007/BFb0089234

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51478-7

  • Online ISBN: 978-3-540-48144-7

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