Invariants-preserving integration of the modified Camassa-Holm equation
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- MIYATAKE Yuto
- Graduate School of Information Science and Technology, The University of Tokyo
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- MATSUO Takayasu
- Graduate School of Information Science and Technology, The University of Tokyo
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- FURIHATA Daisuke
- Cybermedia Center, Osaka University
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Author(s)
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- MIYATAKE Yuto
- Graduate School of Information Science and Technology, The University of Tokyo
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- MATSUO Takayasu
- Graduate School of Information Science and Technology, The University of Tokyo
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- FURIHATA Daisuke
- Cybermedia Center, Osaka University
Journal
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- Japan journal of industrial and applied mathematics
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Japan journal of industrial and applied mathematics 28(3), 351-381, 2011-10-01
References: 17
-
1
- Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
-
COHEN D.
J. Comput. Appl. Math. 235, 1925-1940, 2011
Cited by (1)
-
2
- <no title>
-
DAHLBY M.
A general framework for deriving integral preserving numerical methods for PDEs, 2010
Cited by (1)
-
3
- <no title>
-
FURIHATA D.
Discrete Variational Derivative Method : A Structure-Preserving Numerical Method for Partial Differential Equations, 2011
Cited by (1)
-
4
- <no title>
-
HAIRER E.
Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations, 2006
Cited by (1)
-
5
- A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation
-
MATSUO T.
J. Comput. Appl. Math. 234, 1258-1266, 2010
Cited by (1)
-
6
- Well-posedness of modified Camassa-Holm equations
-
MCLACHLAN R.
J. Diff. Equ. 246, 3241-3259, 2009
Cited by (1)
-
7
- Conservative finite difference schemes for the Camassa-Holm equation
-
TAKEYA K.
Master's thesis, Osaka University, 2007
Cited by (1)
-
8
- <no title>
-
TAKEYA K.
Conservative finite difference schemes for the Camassa-Holm equation, 2011
Cited by (1)
-
9
- Global existence of solutions to the modified Camassa-Holm shallow water equation
-
ZHANG P.
Int. J. Nonlinear Sci 9, 123-128, 2010
Cited by (1)
-
10
- Dynamics and numerics of generalized Euler equations
-
ZHANG X.
PhD thesis, Massey University, 2008
Cited by (1)
-
11
- Multi-symplectic integration of the Camassa-Holm equation
-
COHEN D.
J. Comput. Phys. 227, 5492-5512, 2008
Cited by (1)
-
12
- Finite difference schemes for ∂u/∂t=(∂/∂x)^αδG/δu that inherit energy conservation or dissipation property
-
FURIHATA D.
J. Comput. Phys. 156, 181-205, 1999
Cited by (7)
-
13
- Dissipative or conservative finite difference schemes for complex-valued nonlinear partial differential equations
-
MATSUO T.
J. Comput. Phys. 171, 425-447, 2001
Cited by (6)
-
14
- An Energy-Conserving Galerkin Scheme for a Class of Nonlinear Dispersive Equations
-
MATSUO T.
J. Comput. Phys. 228, 4346-4358, 2009
Cited by (2)
-
15
- An extension of the discrete variational method to nonuniform grids
-
YAGUCHI T.
J. Comput. Phys. 229, 4382-4423, 2010
Cited by (1)
-
16
- Conservative Finite Difference Schemes for the Degasperis-Procesi Equation(Theory) [in Japanese]
-
Miyatake Yuto , Matsuo Takayasu
Transactions of the Japan Society for Industrial and Applied Mathematics 20(4), 219-239, 2010
J-STAGE References (30) Cited by (1)
-
17
- Conservative finite difference schemes for the modified Camassa-Holm equation
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Miyatake Yuto , Matsuo Takayasu , Furihata Daisuke
JSIAM Letters 3(0), 37-40, 2011
J-STAGE Cited by (1)