Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis-Reference-Cited by-同舟云学术

Local energy- and momentum-preserving schemes for Klein-Gordon-Schrödinger equations and convergence analysis

Published:2017-02-17 Issue:4 Volume:33 Page:1329-1351
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Cai Jiaxiang¹²,Hong Jialin³,Wang Yushun²

Affiliation:

1. School of Mathematical Science; Huaiyin Normal University; Huaian Jiangsu 223300 China

2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Science; Nanjing Normal University; Nanjing 210046 China

3. State Key Laboratory of Scientific and Engineering Computing; Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, CAS; Beijing 100190 China

Funder

National Natural Science Foundation of China

Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference19 articles.

1. Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension;Zhang;Appl Math Comput,2005

2. Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation;Wang;Commun Nonlinear Sci Numer Simul,2012

3. Spectral method for solving the system of equations of Schrödinger-Klein-Gordon field;Xiang;J Comput Appl Math,1988

4. Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations;Bao;J Comput Phys,2007

5. A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations;Wang;Appl Math Comput,2008

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1. Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains;SIAM Journal on Scientific Computing;2023-04-03

2. OPTIMAL ERROR ESTIMATE OF A DECOUPLED CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE KLEIN-GORDON-SCHRODINGER EQUATIONS;J KOREAN SOC IND APP;2020

3. Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs;Journal of Computational Physics;2020-01

4. Error estimates for a class of energy- and Hamiltonian-preserving local discontinuous Galerkin methods for the Klein–Gordon–Schrödinger equations;Journal of Applied Mathematics and Computing;2019-10-08