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Computing the Decay of a Simple Reversible Sub-Markov Semigroup

Published online by Cambridge University Press:  01 February 2010

E. B. Davies
E. B. Davies
Affiliation:
Department of Mathematics, King's College, Strand, London, WC2R 2LS, E.Brian.Davies@kcl.ac.uk, http://www.mth.kcl.ac.uk/staff/eb_davies.html

Abstract

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Two different numerical methods for solving a non-self-adjoint evolution equation are compared in this paper. If the intial function lies in the domain of the operator, a recently proposed method that combines pseudospectral ideas and semigroup theory is shown to be considerably more accurate than a standard discretization method. One example is worked out in detail, but the methodsa used are of much wider applicability.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 7 , 2004 , pp. 1 - 20
Copyright
Copyright © London Mathematical Society 2004

References

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Supplementary material: File

JCM 7 Davies Appendix 1

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JCM 7 Davies Appendix 10

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JCM 7 Davies Appendix 11

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JCM 7 Davies Appendix 2

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JCM 7 Davies Appendix 3

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JCM 7 Davies Appendix 7

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JCM 7 Davies Appendix 9

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