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Deferred corrections for equations of the second kind

Published online by Cambridge University Press:  17 February 2009

Lin Qun
Lin Qun
Affiliation:
Institute of Systems Science, Academia Sinica, Beijing, China
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Abstract

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A deferred correction procedure for the approximate solution of the second-kind equation is introduced, compared with an extrapolation procedure, and illustrated for integral and differential equations.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 4 , April 1981 , pp. 452 - 455
Copyright
Copyright © Australian Mathematical Society 1981

References

[1]Baker, C. T. H., The numerical treatment of integral equations (Clarendon Press, Oxford, 1978), Chapter 4.Google Scholar
[2]Chandler, G. A., Superconvergence of numerical solutions to second kind integral equations, (Ph. D. Thesis, ANU, Canberra, 1979).CrossRefGoogle Scholar
[3]Chatelin, F., Linear spectral approximation in Banach spaces (in press), Chapter 3.Google Scholar
[4]Lin, Qun, “Approximate method for operator equations”, Acta Math. Sinica 9 (1959), 414.Google Scholar
[5]Qun, Lin and Jiaquan, Liu, “Extrapolation method for Fredhoim integral equations with non-smooth kernels”, to appear in Numer. Math.Google Scholar
[6]Pereyra, V. L., “On improving an approximate solution of a functional equation by deferred corrections”, Numer. Math. 8 (1966), 376–391.CrossRefGoogle Scholar
[7]Sloan, I. H., “Error analysis for a class of degenerate kernel methods”, Numer. Math. 25 (1976), 231–238.CrossRefGoogle Scholar
[8]Sloan, I. H., Noussair, E. and Burn, B. J., “Projection method for equations of the second kind”, J. Math. Anal. Appl. 69 (1979), 84–103.CrossRefGoogle Scholar
[9]Stetter, H. J., “Asymptotic expansions for the error of discretization algorithms for nonlinear functional equations”, Numer. Math. 7 (1965), 18–31.CrossRefGoogle Scholar