Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-23T02:41:02.268Z Has data issue: false hasContentIssue false

Deferred correction for the ordinary differential equation eigenvalue problem*

Published online by Cambridge University Press:  17 April 2009

King-wah Eric Chu
Affiliation:
Department of Mathematics, University of Papua New Guinea, Box 320, University Post Office, Port Moresby, Papua New Guinea.
Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Australian Mathematical Society Applied Mathematics Conference
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Baker, Christopher T.H., The numerical treatment of integral equations (Clarendon Press, Oxford, 1977).Google Scholar
[2]Chu, King-wah Eric, “The improvement of approximate solutions of the integral equation eigenvalue problem” (PhD thesis, University of Bath, Bath, 1980).Google Scholar
[3]Chu, King-wah Eric and Spence, A., “Deferred correction for ordinary differential equation eigenvalue problems” (Technical Report Math/NA/T, University of Bath, Bath, 1980).Google Scholar
[4]Chu, K.W. and Spence, A., “Deferred correction for the integral equation eigenvalue problem”, J. Austral. Math. Soc. Ser. B 22 (1980/1981),4740–487.Google Scholar
[5]Cline, A.K., Moler, C.B., Stewart, G.W. and Wilkinson, J.H., “An estimate for the condition number of a matrix”, SIAM J. Numer. Anal. 16 (1979), 368375.CrossRefGoogle Scholar
[6]Fox, L. and Goodwin, E.T., “Some new methods for the numerical integration of ordinary differential equations”, Proc. Cambridge Philos. Soc 45 (1949), 373388.CrossRefGoogle Scholar
[7]Keller, H.B. and Pereyra, V., “Difference methods and deferred corrections for ordinary boundary value problems”, SIAM J. Numer. Anal. 16 (1979), 241259.CrossRefGoogle Scholar
[8]Mayers, D.F., “Prediction and correction: deferred correction”, Numerical solution of ordinary and partial differential equations, 2845 (Based on a Summer School held in Oxford, 1961. Pergamon, Oxford, London, New York, 1962).Google Scholar
[9]Pereyra, Victor, “Iterated deferred corrections for nonlinear operator equations”, Numer. Math. 10 (1967), 316323.CrossRefGoogle Scholar
[10]Stetter, Hans J., “The defect correction principle and discretization methods”, Numer. Math. 29 (1978), 425443.CrossRefGoogle Scholar
[11]Watt, J.M., “Convergence and stability of discretization methods for functional equations”, Comput. J. 11 (1968), 7782.CrossRefGoogle Scholar