Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime

Mathematics of Computation ◽

10.1090/mcom/3278 ◽

2017 ◽

Vol 87 (313) ◽

pp. 2133-2158 ◽

Author(s):

Weizhu Bao ◽

Chunmei Su

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Bounds ◽

Difference Method ◽

Zakharov System ◽

Uniform Error ◽

Download Full-text

Uniform Error Bounds of a Finite Difference Method for the Zakharov System in the Subsonic Limit Regime via an Asymptotic Consistent Formulation

Multiscale Modeling and Simulation ◽

10.1137/16m1078112 ◽

2017 ◽

Vol 15 (2) ◽

pp. 977-1002 ◽

Author(s):

Weizhu Bao ◽

Chunmei Su

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Bounds ◽

Difference Method ◽

Zakharov System ◽

Uniform Error ◽

Consistent Formulation

Download Full-text

Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime

Mathematics of Computation ◽

10.1090/mcom/3269 ◽

2017 ◽

Vol 87 (311) ◽

pp. 1191-1225 ◽

Author(s):

Yongyong Cai ◽

Yongjun Yuan

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Estimates ◽

Difference Method ◽

Zakharov System ◽

Uniform Error ◽

Conservative Finite Difference Method ◽

Uniform Error Estimates

Download Full-text

Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes

Kinetic and Related Models ◽

10.3934/krm.2018040 ◽

2018 ◽

Vol 11 (4) ◽

pp. 1037-1062 ◽

Author(s):

Weizhu Bao ◽

◽

Chunmei Su ◽

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Estimates ◽

Difference Method ◽

Massless Limit ◽

Uniform Error ◽

Klein Gordon ◽

Schrödinger System ◽

Uniform Error Estimates

Download Full-text

Error estimates of a finite difference method for the Klein–Gordon–Zakharov system in the subsonic limit regime

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx044 ◽

2017 ◽

Vol 38 (4) ◽

pp. 2055-2073 ◽

Author(s):

Chunmei Su ◽

Wenfan Yi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Estimates ◽

Difference Method ◽

Zakharov System ◽

Download Full-text

An analysis of the finite-difference method for one-dimensional Klein–Gordon equation on unbounded domain

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.10.005 ◽

2009 ◽

Vol 59 (7) ◽

pp. 1568-1583 ◽

Author(s):

Houde Han ◽

Zhiwen Zhang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Unbounded Domain ◽

Difference Method ◽

Gordon Equation ◽

One Dimensional ◽

Klein Gordon ◽

The Finite Difference Method ◽

Klein Gordon Equation

Download Full-text

Error bounds of the finite-difference method in the problem of approximate construction of forced oscillations in nonlinear systems

Computational Mathematics and Modeling ◽

10.1007/bf01128164 ◽

1996 ◽

Vol 7 (3) ◽

pp. 328-332

Author(s):

N. A. Bobylev ◽

Yu. M. Burman ◽

S. A. Solov'ev

Keyword(s):

Nonlinear Systems ◽

Finite Difference ◽

Finite Difference Method ◽

Error Bounds ◽

Difference Method ◽

Forced Oscillations ◽

Approximate Construction ◽

The Finite Difference Method

Download Full-text

The Finite Difference Method for Dissipative Klein-Gordon-Schrödinger Equations in Three Space Dimensions

Journal of Computational Mathematics ◽

10.4208/jcm.1004-m3191 ◽

2010 ◽

Vol 28 (6) ◽

pp. 879-900 ◽

Author(s):

Fayong Zhang and Bo Han

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

The Finite Difference Method ◽

Download Full-text

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

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2008.10.239 ◽

2008 ◽

Vol 10 (1) ◽

pp. 239-263 ◽

Author(s):

Pavlos Xanthopoulos ◽

◽

Georgios E. Zouraris ◽

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

System Modeling ◽

Plasma Waves ◽

Klein Gordon ◽

Implicit Finite Difference ◽

Implicit Finite Difference Method ◽

Schrödinger System

Download Full-text

SIMULATION OF INFILTRATION IN POROUS MEDIUM BY LAPLACE TRANSFORM TECHNIQUE AND FINITE DIFFERENCE METHOD

Hybrid Methods in Engineering ◽

10.1615/hybmetheng.v3.i1.10 ◽

2001 ◽

Vol 3 (1) ◽

pp. 9 ◽

Author(s):

E. Wendland ◽

Marco T. Vilhena

Keyword(s):

Porous Medium ◽

Finite Difference ◽

Finite Difference Method ◽

Laplace Transform ◽

Difference Method ◽

Laplace Transform Technique

Download Full-text

ON TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS BY MEANS OF THE MESHLESS FINITE DIFFERENCE METHOD

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2016014435 ◽

2016 ◽

Vol 14 (2) ◽

pp. 113-134 ◽

Author(s):

Irena Jaworska ◽

Sławomir Milewski

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Heterogeneous Materials ◽

Scale Analysis ◽

Meshless Finite Difference Method

Download Full-text