Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-17T14:15:33.112Z Has data issue: false hasContentIssue false
  • English
  • Français

The numerical solution of linear stiff differential equations

Published online by Cambridge University Press:  24 October 2008

J. R. Cash
J. R. Cash
Affiliation:
Computer Laboratory, Cambridge
Get access Rights & Permissions [Opens in a new window]

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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 505 - 515
Copyright
Copyright © Cambridge Philosophical Society 1972

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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), 373–388.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), 442–447.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