General linear methods for ordinary differential equations

John Butcher

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 6, 1834-1845

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: General linear methods; Stiff differential equations; Inherent Runge–Kutta stability (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:6:p:1834-1845

DOI: 10.1016/j.matcom.2007.02.006

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