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A class of strongly stable operator approximations

Published online by Cambridge University Press:  17 February 2009

Mario Ahues
Mario Ahues
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias Fisicas y Matemáticas, Universidad de Chile, Casilla 170/3 Santiago 3
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Abstract

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We show the strongly stable convergence of some non-collectively-compact approximations of compact operators. Special attention is devoted to Anselone's singularity subtraction discretization of certain singular integral operators. Numerical experiments are provided.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 4 , April 1987 , pp. 435 - 442
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Anselone, P. M., Collectively Compact Operator Approximation Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1971).Google Scholar
[2]Anselone, P. M., “Singularity Subtraction in the Numerical Solution of Integral Equations”, J. Austral. Math. Soc. Ser. B 22 (1981), 408–418.Google Scholar
[3]Chatelin, F., Spectral Approximation of Linear Operators (Academic Press, New York, 1983).Google Scholar