Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction

Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation

(2018) Jialin Hong et al.   APPLIED NUMERICAL MATHEMATICS

A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations

(2018) Tarek Aboelenen   Communications in Nonlinear Science and Numerical Simulation

On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by the Local Discontinuous Galerkin Method

(2018) P. Castillo et al.   JOURNAL OF SCIENTIFIC COMPUTING

A conservative compact difference scheme for the Zakharov equations in one space dimension

(2017) Xuanxuan Zhou et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity

(2017) Alex H. Ardila   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data

(2016) ChunYan Huang et al.   Science China-Mathematics

Fractional logarithmic Schrödinger equations

(2015) Pietro d'Avenia et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

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

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

Energy conserving local discontinuous Galerkin methods for wave propagation problems

(2013) Yulong Xing et al.   Inverse Problems and Imaging

Optimal point-wise error estimate of a compact difference scheme for the Klein–Gordon–Schrödinger equation

(2013) Tingchun Wang   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein–Gordon equation

(2013) Xintian Pan et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

(2012) Patricio Felmer et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Numerical solution of the Yukawa-coupled Klein–Gordon–Schrödinger equations via a Chebyshev pseudospectral multidomain method

(2011) Mehdi Dehghan et al.   APPLIED MATHEMATICAL MODELLING

A local discontinuous Galerkin method for the second-order wave equation

(2011) Mahboub Baccouch   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions

(2011) P.E. Castillo et al.   MATHEMATICAL AND COMPUTER MODELLING

Semi-explicit symplectic partitioned Runge–Kutta Fourier pseudo-spectral scheme for Klein–Gordon–Schrödinger equations

(2010) Linghua Kong et al.   COMPUTER PHYSICS COMMUNICATIONS

A linearly implicit finite difference method for a Klein-Gordon-Schrödinger system modeling electron-ion plasma waves

(2010) Georgios Zouraris et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Local discontinuous Galerkin methods for the generalized Zakharov system

(2009) Yinhua Xia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

(2008) Boling Guo et al.   APPLIED MATHEMATICS AND COMPUTATION