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Symmetric exponential integrators with an application to the cubic Schrodinger equation
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- Celledoni, Elena (author)
- Department of Mathematical Sciences, NTNU, 7491 Trondheim,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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- Cohen, David (author)
- Department of Mathematical Sciences, NTNU, 7491 Trondheim,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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- Owren, Brynjulf (author)
- Department of Mathematical Sciences, NTNU, 7491 Trondheim,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
- (creator_code:org_t)
- 2007-12-07
- 2008
- English.
- In: Foundations of Computational Mathematics. - : Springer Science and Business Media LLC. - 1615-3375 .- 1615-3383. ; 8:3, s. 303-317
- Journal article (peer-reviewed)
Abstract
Subject headings
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- In this article, we derive and study symmetric exponential integrators. Numerical experiments are performed for the cubic Schrodinger equation and comparisons with classical exponential integrators and other geometric methods are also given. Some of the proposed methods preserve the L(2)-norm and/or the energy of the system.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- exponential integrators
- symmetric methods
- cubic Schrodinger equation
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- ref (subject category)
- art (subject category)
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- Umeå University
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