Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations

Multisymplectic Spectral Methods for the Gross-Pitaevskii Equation

ICCS '02 Proceedings of the International Conference on Computational Science-Part III

Multi-symplectic integration methods for Hamiltonian PDEs

Future Generation Computer Systems - Special issue: Geometric numerical algorithms

Multi-symplectic methods for generalized Schrödinger equations

Future Generation Computer Systems - Special issue: Geometric numerical algorithms

Multisymplectic box schemes and the Korteweg-de Vries equation

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Geometric space-time integration of ferromagnetic materials

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

On Symplectic and Multisymplectic Schemes for the KdV Equation

Journal of Scientific Computing

Conservation properties of multisymplectic integrators

Future Generation Computer Systems

Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations

Journal of Computational Physics

Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients

Applied Numerical Mathematics

On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations

Applied Mathematics and Computation

Application of the symplectic finite-difference time-domain scheme to electromagnetic simulation

Journal of Computational Physics

Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients

Journal of Computational Physics

Dispersive properties of multisymplectic integrators

Journal of Computational Physics

Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations

Journal of Computational Physics

Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations

Mathematics and Computers in Simulation

Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients

Applied Numerical Mathematics

Dispersion, group velocity, and multisymplectic discretizations

Mathematics and Computers in Simulation

Conservation properties of multisymplectic integrators

Future Generation Computer Systems

Symplectic wavelet collocation method for Hamiltonian wave equations

Journal of Computational Physics

A multisymplectic explicit scheme for the modified regularized long-wave equation

Journal of Computational and Applied Mathematics

Splitting multisymplectic integrators for Maxwell's equations

Journal of Computational Physics

Multi-symplectic spectral methods for the sine-gordon equation

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Error propagation in numerical approximations near relative equilibria

Journal of Computational and Applied Mathematics

Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations

Applied Numerical Mathematics

High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations

Computers & Mathematics with Applications

Symplectic and multisymplectic numerical methods for Maxwell's equations

Journal of Computational Physics

Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation

Journal of Computational and Applied Mathematics

The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs

Journal of Computational and Applied Mathematics

Linear Stability of Partitioned Runge-Kutta Methods

SIAM Journal on Numerical Analysis

Pseudo-spectral methods for the spatial symplectic reduction of open systems of conservation laws

Journal of Computational Physics

Multisymplectic schemes for the nonlinear Klein-Gordon equation

Mathematical and Computer Modelling: An International Journal

Multisymplecticity of the centred box scheme for a class of hamiltonian PDEs and an application to quasi-periodically solitary waves

Mathematical and Computer Modelling: An International Journal

Poisson integrators

Mathematical and Computer Modelling: An International Journal

Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations

Journal of Computational Physics

Conformal conservation laws and geometric integration for damped Hamiltonian PDEs

Journal of Computational Physics

Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs

Journal of Computational Physics

Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs

Journal of Computational and Applied Mathematics