Fourth-order symplectic integration

Practical symplectic partitioned Runge--Kutta and Runge--Kutta--Nyström methods

Journal of Computational and Applied Mathematics

Solvable Map Method for Integrating Nonlinear Hamiltonian Systems

ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I

Symplectic Methods for Separable Hamiltonian Systems

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

A split step approach for the 3-D Maxwell's equations

Journal of Computational and Applied Mathematics

Almost symplectic Runge-Kutta schemes for Hamiltonian systems

Journal of Computational Physics

On the necessity of negative coefficients for operator splitting schemes of order higher than two

Applied Numerical Mathematics

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

Forward and non-forward symplectic integrators in solving classical dynamics problems

International Journal of Computer Mathematics - Splitting Methods for Differential Equations

On the necessity of negative coefficients for operator splitting schemes of order higher than two

Applied Numerical Mathematics

Numerical modeling of transient two-dimensional viscoelastic waves

Journal of Computational Physics

A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations

Journal of Computational Physics

The Gaussian wave packet transform: Efficient computation of the semi-classical limit of the Schrödinger equation. Part 1 - Formulation and the one dimensional case

Journal of Computational Physics

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system

Journal of Computational Physics

An Efficient High-Order Time Integration Method for Spectral-Element Discontinuous Galerkin Simulations in Electromagnetics

Journal of Scientific Computing