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

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

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Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction–Subdiffusion Equations

(2018) Dongfang Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

Exact and numerical solutions of time-fractional advection–diffusion equation with a nonlinear source term by means of the Lie symmetries

(2018) Alessandra Jannelli et al.   NONLINEAR DYNAMICS

Optimal error analysis of Crank–Nicolson schemes for a coupled nonlinear Schrödinger system in 3D

(2017) Weiwei Sun et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Unconditionally Optimal Error Analysis of Crank–Nicolson Galerkin FEMs for a Strongly Nonlinear Parabolic System

(2017) Dongfang Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

(2017) Dongfang Li et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Spike-Layer Simulation for Steady-State Coupled Schrödinger Equations

(2017) Liming Liao et al.   East Asian Journal on Applied Mathematics

A linear finite difference scheme for generalized time fractional Burgers equation

(2016) Dongfang Li et al.   APPLIED MATHEMATICAL MODELLING

Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations

(2016) Waixiang Cao et al.   Communications in Computational Physics

The compact and Crank–Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations

(2016) Qifeng Zhang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations

(2015) Dingwen Deng et al.   APPLIED MATHEMATICAL MODELLING

A note on compact finite difference method for reaction–diffusion equations with delay

(2015) Dongfang Li et al.   APPLIED MATHEMATICAL MODELLING

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

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