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General linear methods for ordinary differential equations
Authors:John Butcher
Affiliation:The University of Auckland, Department of Mathematics, Private Bag 92019, Auckland, New Zealand
Abstract:General linear methods were introduced as the natural generalizations of the classical Runge–Kutta and linear multistep methods. They have potential applications, especially for stiff problems. This paper discusses stiffness and emphasises the need for efficient implicit methods for the solution of stiff problems. In this context, a survey of general linear methods is presented, including recent results on methods with the inherent RK stability property.
Keywords:65L05   65L06
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