nonrelativistic limit regime Recently Published Documents

Klein Gordon Equation

Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime

Journal of Computational Physics ◽

10.1016/j.jcp.2019.108886 ◽

2019 ◽

Vol 398 ◽

pp. 108886 ◽

Cited By ~ 4

Author(s):

Weizhu Bao ◽

Xiaofei Zhao

Keyword(s):

Numerical Methods ◽

Gordon Equation ◽

Nonrelativistic Limit ◽

Klein Gordon ◽

Klein Gordon Equation

Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112494 ◽

2019 ◽

pp. 112494 ◽

Cited By ~ 1

Author(s):

Patrick Krämer ◽

Katharina Schratz ◽

Xiaofei Zhao

Keyword(s):

Nonrelativistic Limit ◽

Splitting Methods ◽

Dirac Equations ◽

Type Interaction ◽

Nonlinear Dirac Equations ◽

Optimal Resolution Methods for the Klein–Gordon–Dirac System in the Nonrelativistic Limit Regime

Journal of Scientific Computing ◽

10.1007/s10915-019-00919-0 ◽

2019 ◽

Vol 79 (3) ◽

pp. 1907-1935

Author(s):

Wenfan Yi ◽

Xinran Ruan ◽

Chunmei Su

Keyword(s):

Nonrelativistic Limit ◽

Dirac System ◽

Optimal Resolution ◽

Klein Gordon ◽

Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime

SIAM Journal on Numerical Analysis ◽

10.1137/18m121931x ◽

2019 ◽

Vol 57 (4) ◽

pp. 1602-1624 ◽

Cited By ~ 1

Author(s):

Yongyong Cai ◽

Yan Wang

Keyword(s):

Dirac Equation ◽

Nonrelativistic Limit ◽

Error estimates of finite difference time domain methods for the Klein–Gordon–Dirac system in the nonrelativistic limit regime

Communications in Mathematical Sciences ◽

10.4310/cms.2018.v16.n5.a7 ◽

2018 ◽

Vol 16 (5) ◽

pp. 1325-1346 ◽

Cited By ~ 1

Author(s):

Yong-Yong Cai ◽

Wenfan Yi

Keyword(s):

Finite Difference ◽

Error Estimates ◽

Time Domain ◽

Finite Difference Time Domain ◽

Nonrelativistic Limit ◽

Dirac System ◽

Klein Gordon ◽

Difference Time

Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime

Journal of Scientific Computing ◽

10.1007/s10915-016-0333-3 ◽

2017 ◽

Vol 71 (3) ◽

pp. 1094-1134 ◽

Cited By ~ 14

Author(s):

Weizhu Bao ◽

Yongyong Cai ◽

Xiaowei Jia ◽

Qinglin Tang

Keyword(s):

Dirac Equation ◽

Numerical Methods ◽

Nonrelativistic Limit ◽

Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n4.a9 ◽

2017 ◽

Vol 15 (4) ◽

pp. 1107-1128 ◽

Cited By ~ 9

Author(s):

Mohammed Lemou ◽

Florian Méhats ◽

Xiaofei Zhao

Keyword(s):

Dirac Equation ◽

Nonrelativistic Limit ◽

Numerical Schemes ◽

Nonlinear Dirac Equation ◽

Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime

Science China Mathematics ◽

10.1007/s11425-016-0272-y ◽

2016 ◽

Vol 59 (8) ◽

pp. 1461-1494 ◽

Cited By ~ 20

Author(s):

WeiZhu Bao ◽

YongYong Cai ◽

XiaoWei Jia ◽

Jia Yin

Keyword(s):

Dirac Equation ◽

Numerical Methods ◽

Error Estimates ◽

Nonrelativistic Limit ◽

Nonlinear Dirac Equation ◽

A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein–Gordon–Schrödinger equations in the nonrelativistic limit regime

Numerische Mathematik ◽

10.1007/s00211-016-0818-x ◽

2016 ◽

Vol 135 (3) ◽

pp. 833-873 ◽

Cited By ~ 17

Author(s):

Weizhu Bao ◽

Xiaofei Zhao

Keyword(s):

Pseudospectral Method ◽

Nonrelativistic Limit ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fourier Pseudospectral Method ◽

Klein Gordon ◽

Fourier Pseudospectral