Title: On the implementation of implicit Runge-Kutta methods
Abstract: The modified Newton iterations in the implementation of ans stage implicit Runge-Kutta method for ann dimensional differential equation system require 2s 3 n 3/3+O(n 2) operations for theLU factorisations and 2s 2 n 2+O(n) operations for the back substitutions. This paper describes a method for transforming the linear system so as to reduce these operation counts.
Publication Year: 1976
Publication Date: 1976-09-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 240
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