Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation
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[1] Michel C. Delfour,et al. Finite-difference solutions of a non-linear Schrödinger equation , 1981 .
[2] Michael I. Weinstein,et al. Modulational Stability of Ground States of Nonlinear Schrödinger Equations , 1985 .
[3] B. Herbst,et al. Split-step methods for the solution of the nonlinear Schro¨dinger equation , 1986 .
[4] A. Durán,et al. The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation , 2000 .
[5] J. G. Verwer,et al. Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation , 1986 .
[6] J. Shatah,et al. Stability theory of solitary waves in the presence of symmetry, II☆ , 1990 .
[7] G. Akrivis,et al. On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation , 1991 .
[8] S. Reich. Backward Error Analysis for Numerical Integrators , 1999 .
[9] Z. Fei,et al. Numerical simulation of nonlinear Schro¨dinger systems: a new conservative scheme , 1995 .
[10] Orbital stability of numerical periodi nonlinear Schrödinger equation , 2008 .
[11] B.L.G. Jonsson,et al. Solitary Wave Dynamics in an External Potential , 2003 .
[12] John C. Nash. Introduction to Numerical Linear Algebra and Optimisation (Philippe G. Ciarlet with Bernadette Miara and Jean-Marie Thomas; A. Buttigieg, trans.) , 1990, SIAM Rev..
[13] D. Bambusi,et al. Continuous approximation of breathers in one- and two-dimensional DNLS lattices , 2009, 0909.1942.
[14] Christophe Besse,et al. A Relaxation Scheme for the Nonlinear Schrödinger Equation , 2004, SIAM J. Numer. Anal..
[15] J. M. Sanz-Serna,et al. Methods for the numerical solution of the nonlinear Schroedinger equation , 1984 .
[16] Erwan Faou,et al. Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs , 2009, Found. Comput. Math..
[17] Erwan Faou,et al. Geometric Numerical Integration and Schrodinger Equations , 2012 .
[18] Catherine Sulem,et al. The nonlinear Schrödinger equation , 2012 .
[19] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[20] P. G. Ciarlet,et al. Introduction to Numerical Linear Algebra and Optimisation , 1989 .
[21] G. Benettin,et al. On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms , 1994 .
[22] A. Durán,et al. The numerical integration of relative equilibrium solutions. Geometric theory , 1998 .