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A multi-symplectic ...
A multi-symplectic numerical integrator for the two-component Camassa Holm equation
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- Cohen, David (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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- Matsuo, Takayasu (författare)
- University of Tokyo, Japan
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- Raynaud, Xavier (författare)
- Applied Mathematics, SINTEF ICT, Oslo, Norway ; Department of Mathematical Science, NTNU Trondheim, Norway,Norges teknisk-naturvitenskapelige universitet (NTNU),Norwegian University of Science and Technology (NTNU)
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(creator_code:org_t)
- 2021
- 2014
- Engelska.
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Ingår i: Journal of Nonlinear Mathematical Physics. - : Taylor & Francis. - 1402-9251 .- 1776-0852. ; 21:3, s. 442-453
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Abstract
Ämnesord
Stäng
- A new multi-symplectic formulation of the two-component Camassa-Holm equation (2CH) is presented, and the associated local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. A multi-symplectic discretisation based on this new formulation is exemplified by means of the Euler box scheme. Furthermore, this scheme preserves exactly two discrete versions of the Casimir functions of 2CH. Numerical experiments show that the proposed numerical scheme has good conservation properties.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Two-component Camassa-Holm equation
- Hamiltonian PDE
- Casimir function
- Numerical discretisation
- Multi-symplectic formulation
- Multi-symplectic schemes
- Euler box scheme
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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