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Volumn 161, Issue 1, 2005, Pages 55-67

Multisymplectic geometry, local conservation laws and Fourier pseudospectral discretization for the quot;goodquot; Boussinesq equation

Author keywords

Fourier pseudospectral discretization; Local conservation laws; Multisymplectic formulation; quot; Goodquot; Boussinesq equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; HAMILTONIANS; LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS; SOLITONS;

EID: 9544224143     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.009     Document Type: Article
Times cited : (22)

References (13)
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    • Bridges, T.J.1
  • 2
    • 0030695841 scopus 로고    scopus 로고
    • A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities
    • T.J. Bridges, A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities, Proc. Royal Soc. London A 453 (1997) 1365-1395.
    • (1997) Proc. Royal Soc. London A , vol.453 , pp. 1365-1395
    • Bridges, T.J.1
  • 3
    • 0039152065 scopus 로고    scopus 로고
    • Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations
    • T.J. Bridges, S. Reich, Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations, Physica D 152 (2001) 491-504.
    • (2001) Physica D , vol.152 , pp. 491-504
    • Bridges, T.J.1    Reich, S.2
  • 5
    • 0005727359 scopus 로고    scopus 로고
    • Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation
    • J.B. Chen, M.Z. Qin, Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation, Electron. Trans. Numer. Anal 12 (2001) 193-204.
    • (2001) Electron. Trans. Numer. Anal , vol.12 , pp. 193-204
    • Chen, J.B.1    Qin, M.Z.2
  • 7
    • 84966234616 scopus 로고
    • Pseudospectral methods for the quot;goodquot; Boussinesq equation
    • J.D.E. Frutos, T. Ortega, J.M. Sanz-Serna, Pseudospectral methods for the quot;goodquot; Boussinesq equation, Math. Comput. 57 (1991) 109-122.
    • (1991) Math. Comput. , vol.57 , pp. 109-122
    • Frutos, J.D.E.1    Ortega, T.2    Sanz-Serna, J.M.3
  • 8
    • 0002627298 scopus 로고
    • Theory and applications of spectral methods
    • R.G. Voigt, D. Gottlieb, M.Y. Hussaini (Eds.), SIAM-CBMS, Philadelphia
    • D. Gottlieb, M.Y. Hussaini, S.A. Orszag, Theory and applications of spectral methods, in: R.G. Voigt, D. Gottlieb, M.Y. Hussaini (Eds.), Spectral Methods for Partial Differential Equations, SIAM-CBMS, Philadelphia, 1984, pp. 1-54.
    • (1984) Spectral Methods for Partial Differential Equations , pp. 1-54
    • Gottlieb, D.1    Hussaini, M.Y.2    Orszag, S.A.3
  • 10
    • 0001535009 scopus 로고
    • Soliton and anti-soliton interactions in the quot;goodquot; Boussinesq equation
    • V.S. Manoranjan, T. Ortega, J.M. Sanz-Serna, Soliton and anti-soliton interactions in the quot;goodquot; Boussinesq equation, J. Math. Phys. 29 (1988) 1964-1968.
    • (1988) J. Math. Phys. , vol.29 , pp. 1964-1968
    • Manoranjan, V.S.1    Ortega, T.2    Sanz-Serna, J.M.3
  • 11
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear, PDEs
    • J.E. Marsden, G.W. Patrick, S. Shkoller, Multisymplectic geometry, variational integrators, and nonlinear, PDEs, Commun. Math. Phys. 199 (1998) 351-395.
    • (1998) Commun. Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.W.2    Shkoller, S.3
  • 13
    • 0000511098 scopus 로고
    • Nonlinear stability and convergence of finite-difference methods for the quot;goodquot; Boussinesq equation
    • T. Ortega, J.M. Sanz-Serna, Nonlinear stability and convergence of finite-difference methods for the quot;goodquot; Boussinesq equation, Numer. Math. 58 (1990) 215-229.
    • (1990) Numer. Math. , vol.58 , pp. 215-229
    • Ortega, T.1    Sanz-Serna, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.