On the numerical integration of nonlinear initial value problems by linear multistep methods-Reference-Cited by-同舟云学术

On the numerical integration of nonlinear initial value problems by linear multistep methods

Published:1977-03 Issue:1 Volume:17 Page:58-71
ISSN:0006-3835
Container-title:BIT
language:en
Short-container-title:BIT

Author:

Nevanlinna Olavi

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/BF01932399.pdf

Reference13 articles.

1. H. Brezis,Operateurs maximaux monotones et semi-groupes de contraction dans les espaces de Hilbert, North Holland, Amsterdam 1973.

2. C. W. Cryer,A new class of highly stable methods: A 0-stable methods, BIT 13, 153–159 (1973).

3. G. Dahlquist,Stability and error bounds in the numerical integration of ordinary differential equations, Kungl. Tekn. Högsk. Handl. Stockholm, No 130 (1959).

4. G. Dahlquist,Error analysis for a class of methods for stiff non-linear initial value problems, Springer Lect. Not. Math. 506, 60–74, Berlin-Heidelberg-New York 1976.

5. G. Dahlquist and O. Nevanlinna,l 2-estimates of the error in the numerical integration of non-linear differential systems, Dept. of Comp. Sci., Royal Institute of Technology, Report TRITA-NA-7607, (1976).

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