A lower bound for the number of stages of an explicit continuous Runge-Kutta method to obtain convergence of given order-Reference-Cited by-同舟云学术

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A lower bound for the number of stages of an explicit continuous Runge-Kutta method to obtain convergence of given order

Published:1991-06 Issue:2 Volume:31 Page:364-368
ISSN:0006-3835
Container-title:BIT
language:en
Short-container-title:BIT

Author:

Carnicer J. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/content/pdf/10.1007/BF01931296.pdf

Reference2 articles.

1. Butcher, J. C.:The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods. John Wiley and Sons, Chichester, England 1987.

2. Hairer, E.; Nørsett, S. P. and Wanner, G.:Solving Ordinary Differential Equations I, Nonstiff Problems. Chap. II. Springer-Verlag, 1987.

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. Runge-Kutta research in Trondheim;Applied Numerical Mathematics;1996-11

2. The orders of embedded continuous explicit Runge-Kutta methods;BIT Numerical Mathematics;1995-09

3. Differentiable Interpolants for High-Order Runge–Kutta Methods;SIAM Journal on Numerical Analysis;1993-10

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