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Multi-symplectic integration of the Camassa-Holm equation
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- Cohen, David (author)
- Department of Mathematical Sciences, NTNU,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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- Owren, Brynjulf (author)
- Department of Mathematical Sciences, NTNU,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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- Raynaud, Xavier (author)
- Department of Mathematical Sciences, NTNU,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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(creator_code:org_t)
- Elsevier BV, 2008
- 2008
- English.
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In: Journal of Computational Physics. - : Elsevier BV. - 0021-9991 .- 1090-2716. ; 227:11, s. 5492-5512
- Related links:
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https://urn.kb.se/re...
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Abstract
Subject headings
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- The Camassa-Holm equation is rich in geometric structures, it is completely integrable, bi-Hamiltonian, and it represents geodesics for a certain metric in the group of diffeomorphism. Here two new multi-symplectic formulations for the Camassa-Holm equation are presented, and the associated local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. The multi-symplectic discretisation of each formulation is exemplified by means of the Euler box scheme. Numerical experiments show that the schemes have good conservative properties, and one of them is designed to handle the conservative continuation of peakon-antipeakon collisions. (c) 2008 Elsevier Inc. All rights reserved.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Camassa-Holm equation
- multi-symplecticity
- Euler box scheme
- peakon-antipeakon collisions
- conservation laws
Publication and Content Type
- ref (subject category)
- art (subject category)
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