Linear Multistep Methods as Irreducible General Linear Methods-Reference-Cited by-同舟云学术

Linear Multistep Methods as Irreducible General Linear Methods

Published:2006-03 Issue:1 Volume:46 Page:5-19
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Butcher J. C.,Hill A. T.

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/s10543-006-0046-3.pdf

Reference15 articles.

1. A. Albert, Conditions for positive and non-negative definiteness in terms of pseudoinverses, SIAM J. Appl. Math., 17 (1969), pp. 434–440.

2. C. Baiocchi and M. Crouzeix, On the equivalence of A-stability and G-stability, Appl. Numer. Math., 5 (1989), pp. 19–22.

3. K. Burrage and J. C. Butcher, Non-linear stability of a general class of differential equation methods, BIT, 20 (1980), pp. 185–204.

4. J. C. Butcher, The equivalence of algebraic stability and AN-stability, BIT, 27 (1987), pp. 510–534.

5. G. Dahlquist, Error analysis for a class of methods for stiff nonlinear initial value problems, Proceedings of the 1975 Dundee Conference in Numerical Analysis, Springer Lecture Notes in Mathematics, 506 (1976), pp. 60–75.

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