On the existence of solutions to the algebraic equations in implicit runge-kutta methods-Reference-Cited by-同舟云学术

On the existence of solutions to the algebraic equations in implicit runge-kutta methods

Published:1983-03 Issue:1 Volume:23 Page:84-91
ISSN:0006-3835
Container-title:BIT
language:en
Short-container-title:BIT

Author:

Crouzeix M.,Hundsdorfer W. H.,Spijker M. N.

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/BF01937328.pdf

Reference11 articles.

1. K. Burrage and J. C. Butcher,Stability criteria for implicit Runge-Kutta methods, SIAM J. Numer. Anal. 16 (1979), 46–57.

2. M. Crouzeix, Sur la B-stabilité des méthodes de Runge-Kutta, Numer. Math. 32 (1979), 75–82.

3. M. Crouzeix and P. A. Raviart, Unpublished Lecture Notes, Université de Rennes 1980.

4. Lecture Notes in Mathematics;G. Dahlquist,1976

5. G. Dahlquist and R. Jeltsch,Generalized disks of contractivity for explicit and implicit Runge-Kutta methods. Report TRITA-NA-7906, Dept. Comp. Sci., Roy. Inst. of Techn., Stockholm (1979).

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