Fourth order conservative exponential methods for linear evolution equations

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)762-774
Journal / PublicationBIT Numerical Mathematics
Volume40
Issue number4
Publication statusPublished - Dec 2000

Link(s)

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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0041760058&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(7824db23-bcc0-469f-96aa-16e68f135894).html

Abstract

A few numerical methods for linear evolution equations are developed and analyzed in this paper. These fourth order exponential methods reproduce the exact solutions for equations with time-independent evolution operators. For highly oscillatory problems with evolution operators that vary slowly in time, these methods are often more efficient than the traditional methods, since large step sizes can be used. The methods developed in this paper are also conservative for equations such as the Schrödinger equation, where the evolution operator is skew-selfadjoint.

Research Area(s)

  • Exponential integrator, Linear evolution equation

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Publication fingerprints text

100
Linear Evolution Eq... Keyphrases
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Fourth Order Keyphrases
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Exponential Fitting Keyphrases
100
Evolution Operator Keyphrases
100
equations INIS
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evolution equations INIS
100
Fourth-Order Mathematics
100
Evolution Equation Mathematics
33
Exact Solutions Keyphrases
33
Numerical Methods Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Fourth order conservative exponential methods for linear evolution equations. / Lu, Ya Yan.
In: BIT Numerical Mathematics, Vol. 40, No. 4, 12.2000, p. 762-774.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review