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

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 additional conditions superconvergence of order p + 1 can be achieved. Further criteria for good methods are large stability intervals and small error constants. Numerical tests of these peer methods in MATLAB and comparisons with a Runge-KuttaNystr

• Type: Journal
• Year: 2008
• Where: AMC
• Authors: Stefan Jebens, Rüdiger Weiner, Helmut Podhaisky, Bernhard A. Schmitt
• Keywords: AMC 2008, Explicit Peer Methods, Peer Methods, Three-step Peer Methods