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

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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

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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 ◽

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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 ◽

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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

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Error estimates of the finite difference method for eigenvalue problems with nonlinear entrance of the spectral parameter

Journal of Physics Conference Series ◽

10.1088/1742-6596/1158/4/042020 ◽

2019 ◽

Vol 1158 ◽

pp. 042020

Author(s):

S I Solov’ev ◽

P S Solov’ev

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Estimates ◽

Spectral Parameter ◽

Difference Method ◽

Eigenvalue Problems ◽

The Finite Difference Method

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

SIAM Journal on Numerical Analysis ◽

10.1137/110830800 ◽

2012 ◽

Vol 50 (2) ◽

pp. 492-521 ◽

Author(s):

Weizhu Bao ◽

Yongyong Cai

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Error Estimates ◽

Wave Operator ◽

Schrodinger Equation ◽

Finite Difference Methods ◽

Nonlinear Schrodinger Equation ◽

Uniform Error ◽

Difference Methods ◽

Uniform Error Estimates

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6A-6 Conservative Finite Difference Method as Applied to Electromagnetic Radiation Problems in SAW Devices

2006 IEEE Ultrasonics Symposium ◽

10.1109/ultsym.2006.38 ◽

2006 ◽

Author(s):

A. Baghai-Wadji

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Electromagnetic Radiation ◽

Difference Method ◽

Saw Devices ◽

Conservative Finite Difference Method

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On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations

Mathematical Problems in Meteorological Modelling - Mathematics in Industry ◽

10.1007/978-3-319-40157-7_1 ◽

2016 ◽

pp. 3-18 ◽

Author(s):

Alexander Zlotnik ◽

Vladimir Gavrilin

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Shallow Water ◽

Difference Method ◽

Water Flows ◽

Shallow Water Flows ◽

Conservative Finite Difference Method

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Consistent Scheme for Computation of Reynolds Stress and Turbulent Kinetic Energy Budgets for Energy-Conservative Finite Difference Method

Journal of Computational Science and Technology ◽

10.1299/jcst.4.64 ◽

2010 ◽

Vol 4 (1) ◽

pp. 64-75 ◽

Author(s):

Hiroya MAMORI ◽

Koji FUKAGATA

Keyword(s):

Kinetic Energy ◽

Finite Difference ◽

Finite Difference Method ◽

Turbulent Kinetic Energy ◽

Reynolds Stress ◽

Difference Method ◽

Energy Budgets ◽

Conservative Finite Difference Method

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A conservative finite difference method and its application for the analysis of a transient flow around a square prism

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/09615530010306894 ◽

2000 ◽

Vol 10 (1) ◽

pp. 6-47 ◽

Author(s):

A.N. Pavlov ◽

S.S. Sazhin ◽

R.P. Fedorenko ◽

M.R. Heikal

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Transient Flow ◽

Square Prism ◽

Conservative Finite Difference Method

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