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European Journal of Applied Mathematics
Volumn 18, Issue 5, 2007, Pages 607-630
Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation
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EID: 35148816070     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792507007140     Document Type: Article
Times cited : (40)
References (11)
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  • 2
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    • ARANSON, I. & KRAMER, L. (2002) The world of the complex Ginzburg-Landau equation. Rev. Mod. Phys. 74, 99-133.
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  • 3
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    • Numerical methods for the nonlinear Schrödinger equation with nonzero far-field conditions
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  • 4
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    • Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation
    • BAO, W., DU, Q. & ZHANG, Y. (2006) Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation. SIAM J. Appl. Math., 66, 758-786.
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    • BAO, W.1    DU, Q.2    ZHANG, Y.3
  • 5
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    • An explicit unconditionally stable numerical methods for solving damped nonlinear Schrodinger equations with a focusing nonlinearity
    • BAO, W. & JAKSCH, D. (2003) An explicit unconditionally stable numerical methods for solving damped nonlinear Schrodinger equations with a focusing nonlinearity. SIAM J. Numer. Anal., 41, 1406-1426.
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    • BAO, W.1    JAKSCH, D.2    MARKOWICH, P.A.3
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    • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
    • BAO, W., JIN, S. & MARKOWICH, P. A. (2002) On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime, J. Comput. Phys., 175, 487-524.
    • (2002) J. Comput. Phys , vol.175 , pp. 487-524
    • BAO, W.1    JIN, S.2    MARKOWICH, P.A.3
  • 8
    • 1842531889 scopus 로고    scopus 로고
    • Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-classical regimes
    • BAO, W., JIN, S. & MARKOWICH, P. A. (2003) Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-classical regimes. SIAM J. Sci. Comp. 25, 27-64.
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  • 9
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    • Dynamics of the ground state and central vortex states in Bose-Einstein condensation
    • BAO, W. & ZHANG, Y. (2005) Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Math. Mod. Meth. Appl. Sci. 15, 1863-1896.
    • (2005) Math. Mod. Meth. Appl. Sci , vol.15 , pp. 1863-1896
    • BAO, W.1    ZHANG, Y.2
  • 10
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    • Order estimates in time of splitting methods for the nonlinear Schrödinger equation
    • BESSE, C., BIDEGARAY, B. & DESCOMBES, S. (2002) Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 40, 26-40.
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