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A criterion for A-stability of linear multistep integration formulae. (English) Zbl 0169.19902

Full Text: DOI
[1] Dahlquist, G.: A Special Stability Problem for Linear Multistep Methods. BIT3, 27 (1963). · Zbl 0123.11703 · doi:10.1007/BF01963532
[2] Liniger, W., andR. A. Willoughby: Efficient Numerical Integration Methods for Stiff Systems of Differential Equations. IBM Res. Report RC-1970 (Dec. 20, 1967). · Zbl 0187.11003
[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. · Zbl 0085.01001
[5] Liniger, W.: Zur Stabilität der numerischen Integrationsmethoden für Differentialgleichungen. Doctoral Thesis, University of Lausanne (1957). · Zbl 0086.32603
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