Explicit multi-step peer methods for special second-order differential equations

Stefan Jebens

doi:10.1016/j.amc.2008.03.025

Explicit multi-step peer methods for special second-order differential equations

2008-08-01

6

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AI

DOI：10.1016/j.amc.2008.03.025

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Abstract

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The construction of s-stage explicit two-and three-step peer methods of order p = 2s and p = 3s is considered for the solution of non-stiff second-order initial value problems where the right-hand side does not depend on y '. By numerical search with respect to large stability intervals and small error constants sequential and parallel methods are constructed. Numerical tests of these peer methods in MATLAB and comparisons with a Runge-Kutta-Nystrom method show the efficiency of the proposed methods. (C) 2008 Elsevier Inc. All rights reserved.

Keywords:

explicit peer methods

non-stiff second-order ODE systems

parallel methods for ODEs

Runge-Kutta-Nystrom methods

Explicit multi-step peer methods for special second-order differential equations

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