Free Access
Issue
ESAIM: M2AN
Volume 43, Number 4, July-August 2009
Special issue on Numerical ODEs today
Page(s) 677 - 687
DOI https://doi.org/10.1051/m2an/2009022
Published online 08 July 2009
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  5. A. Durán and J.M. Sanz-Serna, The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation. IMA J. Numer. Anal. 20 (2000) 235–261. [CrossRef] [MathSciNet]
  6. Z. Fei, V.M. Pérez-García and L. Vázquez, Numerical simulation of nonlinear Schrödinger systems: a new conservative scheme. Appl. Math. Comput. 71 (1995) 165–177. [CrossRef] [MathSciNet]
  7. E. Hairer, C. Lubich and G. Wanner, Geometric numerical integration, Structure-preserving algorithms for ordinary differential equations, Springer Series in Computational Mathematics 31. Second Edition, Springer-Verlag, Berlin (2006).
  8. A.L. Islas, D.A. Karpeev and C.M. Schober, Geometric integrators for the nonlinear Schrödinger equation. J. Comput. Phys. 173 (2001) 116–148. [CrossRef] [MathSciNet]
  9. T. Matsuo and D. Furihata, Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations. J. Comput. Phys. 171 (2001) 425–447. [CrossRef] [MathSciNet]
  10. T.R. Taha and J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation. J. Comput. Phys. 55 (1984) 203–230. [CrossRef] [MathSciNet]
  11. J.A.C. Weideman and B.M. Herbst, Split-step methods for the solution of the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 23 (1986) 485–507. [CrossRef] [MathSciNet]

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