A criterion for a-stability of linear multistep integration formulae-Reference-Cited by-同舟云学术

A criterion for a-stability of linear multistep integration formulae

Published:1968-12 Issue:4 Volume:3 Page:280-285
ISSN:0010-485X
Container-title:Computing
language:en
Short-container-title:Computing

Author:

Liniger W.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/BF02235394.pdf

Reference5 articles.

1. Dahlquist, G.: A Special Stability Problem for Linear Multistep Methods. BIT3, 27 (1963).

2. Liniger, W., andR. A. Willoughby: Efficient Numerical Integration Methods for Stiff Systems of Differential Equations. IBM Res. Report RC-1970 (Dec. 20, 1967).

3. Preston, R. C.: TheChebyshev Approximation Method. Quart. Appl. Math.11, 2, 167 (1953).

4. Gantmacher, F. R.: The Theory of Matrices, (English translation). Vol. 2, Chapter 15. New York: Chelsea Publishing Co. 1959.

5. Liniger, W.: Zur Stabilität der numerischen Integrationsmethoden für Differentialgleichungen. Doctoral Thesis, University of Lausanne (1957).

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