Mass- and energy-preserving exponential Runge–Kutta methods for the nonlinear Schrödinger equation

A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation

(2020) Chaolong Jiang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Geometric Exponential Integrators

(2019) Xuefeng Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Partitioned averaged vector field methods

(2018) Wenjun Cai et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Symplectic exponential Runge–Kutta methods for solving nonlinear Hamiltonian systems

(2017) Lijie Mei et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

(2017) Yuezheng Gong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

(2017) Lili Ju et al.   MATHEMATICS OF COMPUTATION

Structure-preserving Exponential Runge--Kutta Methods

(2017) Ashish Bhatt et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs

(2015) Yu-Wen Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations

(2013) Xavier Antoine et al.   COMPUTER PHYSICS COMMUNICATIONS

Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

(2012) Weizhu Bao et al.   MATHEMATICS OF COMPUTATION

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

(2011) Morten Dahlby et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING