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Accelerated spectral refinement Part I: simple eigenvalue

Published online by Cambridge University Press:  17 February 2009

Rafikul Alam ,
Rekha P. Kulkarni  and
Balmohan V. Limaye
Rafikul Alam
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay 400 076, India.
Rekha P. Kulkarni
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay 400 076, India.
Balmohan V. Limaye
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay 400 076, India.
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Abstract

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A general framework is developed for constructing higher order spectral refinement schemes for a simple eigenvalue. Well-known techniques for ordinary spectral refinement are carried over to higher order spectral refinement yielding faster rates of convergence. Numerical examples are given by considering an integral operator.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 4 , April 2000 , pp. 487 - 507
Copyright
Copyright © Australian Mathematical Society 2000

References

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