A convergence criterion for a class of integration methods
Author:
Abstract
A criterion is established for the convergence of sequences of a general type of Runge-Kutta method. The criterion is expressed in terms of “weak convergence", a property defined in the paper.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,Computational Mathematics,Algebra and Number Theory
Link
http://www.ams.org/mcom/1972-26-117/S0025-5718-1972-0305609-2/S0025-5718-1972-0305609-2.pdf
Reference4 articles.
1. Convergence and stability in the numerical integration of ordinary differential equations;Dahlquist, Germund;Math. Scand.,1956
2. On the convergence of numerical solutions to ordinary differential equations;Butcher, J. C.;Math. Comp.,1966
3. An algebraic theory of integration methods;Butcher, J. C.;Math. Comp.,1972
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The Hopf algebra approach to Feynman diagram calculations;Journal of Physics A: Mathematical and General;2005-11-30
2. A New Approach to the Algebraic Structures for Integration Methods;BIT Numerical Mathematics;2002-09
3. Initial Value Problems for Ordinary Differential Equations;Numerical Quadrature and Solution of Ordinary Differential Equations;1974
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