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

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

Abstract The construction of s -stage explicit two- and three-step peer methods of order p = 2 s and p = 3 s 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.

Helmut Podhaisky | Rüdiger Weiner | Bernhard A. Schmitt | Stefan Jebens

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