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The numerical solution of linear stiff differential equations

Published online by Cambridge University Press:  24 October 2008

J. R. Cash
Affiliation:
Computer Laboratory, Cambridge

Abstract

A general method is given and illustrated by application to particular cases for obtaining subdominant solutions of stiff difference and differential equations, i.e. when rapidly varying solutions – transients or otherwise – are possible but are in fact excluded by the initial conditions.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Fox, L.Numerical solution of ordinary and partial differential equations (Pergamon Press, 1962).Google Scholar
(2)Miller, J. C. P.Numerical Analysis – an introduction, ed. Walsh, J., Chap. 4 (Academic Press, 1964).Google Scholar
(3)Fox, L. & Goodwin, E. T.Numerical integration of ordinary differential equations. Proc. Cambridge Philos. Soc. 45 (1949), 373388.CrossRefGoogle Scholar
(4)Bourne, S. R. & Horton, J. R.The Carnal system Manual (Computer Laboratory, Cambridgel).Google Scholar
(5)Ridley, E.Cicny. Numerical solution of second-order linear differential equations with two-point boundary conditions. Proc. Cambridge Philos. Soc. 53 (1957), 442447.CrossRefGoogle Scholar
(6)Fox, L. & Robertson, H.Proceedings of a symposium on digital computation (N.P.L. 1953).Google Scholar
(7)Fitch, J. P. An algebraic manipulator (Ph.D. Thesis), University of Cambridge, 1971.Google Scholar