Author： Nguyen-Ba Truong Desjardins Steven Sharp Philip Vaillancourt Rémi
Publisher： Springer Publishing Company
ISSN： 0923-2958
Source： Celestial Mechanics and Dynamical Astronomy, Vol.117, Iss.4, 2013-12, pp. : 423-434
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Abstract
A new optimal, explicit, Hermite–Obrechkoff method of order 13, denoted by HO(13), that is contractivity-preserving (CP) and has nonnegative coefficients is constructed for solving nonstiff first-order initial value problems. Based on the CP conditions, the new 9-derivative HO(13) has maximum order 13. The new method usually requires significantly fewer function evaluations and significantly less CPU time than the Taylor method of order 13 and the Runge–Kutta method DP(8,7)13M to achieve the same global error when solving standard
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