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This paper considers a special subclass of second derivative general linear methods (SD-GLM). This new class of methods will be known as the second derivative GLMwith nearly almost Runge-Kutta stability (SD-NARK-stability). It is one of the possible generalization of the classical second derivative Runge-Kutta method (SD-RKM) suitable for the solution of non-stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
Keywords: general linear method (GLM); second derivative-GLM; second-derivative almost Runge-Kutta method (SD-ARK)
Published Online: 2014-5-28
Published in Print: 2014-6-1
© 2014 by Walter de Gruyter Berlin/Boston