Multisymplectic spectral methods for the Gross-Pitaevskii equation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2331 LNCS, Issue PART 3, 2002, Pages 486-495

  Islas, A L ^a   Schober, C M ^a  

^a OLD DOMINION UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; CONTROL NONLINEARITIES; NONLINEAR EQUATIONS; WAVE EFFECTS; WAVE EQUATIONS;

DISCRETIZATIONS; GROSS-PITAEVSKII EQUATION; MULTI-SYMPLECTIC; PERIODIC BOUNDARY CONDITIONS; PHASE SOLUTIONS; SPECTRAL METHODS;

SCHRODINGER EQUATION;

EID: 23044533544     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-47789-6_51     Document Type: Conference Paper

References (9)

1. T.J. Bridges, Multisymplectic structures and wave propagation, Math. Proc. Cambridge Philos. Soc. 121, 147 (1997).
2. A.L. Islas, D.A. Karpeev and C.M. Schober, Geometric Integrators for the Non-linear Schrödinger Equation, J. of Comp. Phys. 173, 116-148 (2001).
3. S. Reich, Multisymplectic Runge-Kutta Collocation Methods for Hamiltonian Wave Equations, J. of Comp. Phys. 157, 473-499 (2000).
4. T.J. Bridges and S. Reich, Multisymplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity, University of Surrey, Technical Report (1999).
5. T.J. Bridges and S. Reich, Multisymplectic Spectral Discretizations for the Zakharov-Kuznetsov and shallow water equations, University of Surrey, Technical Report (2000).
6. P.J. Channell and C. Scovel, Symplectic integration of Hamiltonian systems, Non-linearity 3, 1-13 (1990).
7. B. Deconinck, B.A. Frigyik and J.N. Kutz, Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions, Physics Letters A, submitted April 2001.
8. J.E. Marsden, G.P. Patrick and S. Shkoller, Multisymplectic geometry, variational integrators, and nonlinear PDEs, Comm. in Math. Phys. 199, 351-395 (1999).
9. J.E. Marsden and S. Shkoller, Multisymplectic geometry, covariant Hamiltonians and water waves, Math. Proc. Camb. Phil. Soc. 125, 553-575 (1999).