Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator

The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations

(2021) Yetong Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

Optimal l∞ error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator

(2021) Xiujun Cheng et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator

(2021) Xiujun Cheng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A linearized energy–conservative finite element method for the nonlinear Schrödinger equation with wave operator

(2019) Wentao Cai et al.   APPLIED NUMERICAL MATHEMATICS

Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schr ¨odinger Equations

(2019) Xiaobing Feng   Communications in Computational Physics

A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

(2018) Luigi Brugnano et al.   Communications in Nonlinear Science and Numerical Simulation

On accuracy of the mass-preserving DG method to multi-dimensional Schrödinger equations

(2018) Hailiang Liu et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

The scalar auxiliary variable (SAV) approach for gradient flows

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

Several conservative compact schemes for a class of nonlinear Schrödinger equations with wave operator

(2018) Xiujun Cheng et al.   Boundary Value Problems

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

(2017) Xiaofeng Yang et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

(2016) Xiaofeng Yang   JOURNAL OF COMPUTATIONAL PHYSICS

A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator

(2015) Hanzhang Hu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Energy Conserving Local Discontinuous Galerkin Methods for the Nonlinear Schrödinger Equation with Wave Operator

(2014) Li Guo et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

(2013) Xavier Antoine et al.   COMPUTER PHYSICS COMMUNICATIONS

A New Error Analysis of Crank–Nicolson Galerkin FEMs for a Generalized Nonlinear Schrödinger Equation

(2013) Jilu Wang   JOURNAL OF SCIENTIFIC COMPUTING

Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation

(2012) Weizhu Bao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

(2012) Weizhu Bao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations

(2010) Zhen Gao et al.   APPLIED NUMERICAL MATHEMATICS

Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse

(2010) Weizhu Bao et al.   PHYSICA D-NONLINEAR PHENOMENA