Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity

Applied Numerical Mathematics

New conservative schemes with discrete variational derivatives for nonlinear wave equations

Journal of Computational and Applied Mathematics

Conservative difference methods for the Klein-Gordon-Zakharov equations

Journal of Computational and Applied Mathematics

Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme

Mathematics and Computers in Simulation

Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system

Journal of Computational and Applied Mathematics

An extension of the discrete variational method to nonuniform grids

Journal of Computational Physics

Simulation of coherent structures in nonlinear Schrödinger-type equations

Journal of Computational Physics

Geometric finite difference schemes for the generalized hyperelastic-rod wave equation

Journal of Computational and Applied Mathematics

The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method

Computers & Mathematics with Applications

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

SIAM Journal on Scientific Computing

The discrete variational derivative method based on discrete differential forms

Journal of Computational Physics

A quantitative comparison between C0 and C1 elements for solving the Cahn-Hilliard equation

Journal of Computational Physics