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

Type: Article

Publication Date: 2018-01-01

Citations: 13

DOI: https://doi.org/10.4310/cms.2018.v16.n5.a7

Locations

  • Communications in Mathematical Sciences - View

Similar Works

Action Title Year Authors
+ Point-wise errors of two conservative difference schemes for the Klein–Gordon–Schrödinger equation 2012 Ting-Chun Wang
Yong Jiang
+ Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime 2011 Weizhu Bao
Xuanchun Dong
+ A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime 2023 Yongyong Cai
Wenfan Yi
+ Optimal Resolution Methods for the Klein–Gordon–Dirac System in the Nonrelativistic Limit Regime 2019 Wenfan Yi
Xinran Ruan
Chunmei Su
+ Convergence of a conservative difference scheme for a class of Klein–Gordon–Schrödinger equations in one space dimension 2004 Luming Zhang
+ Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein–Gordon–Dirac equation 2023 Jiyong Li
+ Uniform error bounds of an exponential wave integrator for the Klein–Gordon-Schrödinger system in the nonrelativistic and massless limit regime 2025 Jiyong Li
Minghui Yang
+ Unconditional optimal error estimates of conservative methods for Klein–Gordon–Dirac system in two dimensions 2022 Ting-Chun Wang
Yue Cheng
Lihai Ji
+ Convergence analysis of two conservative finite difference fourier pseudo-spectral schemes for klein-Gordon-Dirac system 2022 Xianfen Wang
Jiyong Li
+ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations 2023 Mustafa Almushaira
Yan‐Fei Jing
+ Uniformly Accurate Nested Picard Iterative Integrators for the Klein-Gordon Equation in the Nonrelativistic Regime 2022 Yongyong Cai
Xuanxuan Zhou
+ Conservative difference methods for the Klein–Gordon–Zakharov equations 2006 Tingchun Wang
Juan Chen
Luming Zhang
+ Error Bounds of the Finite Difference Time Domain Methods for the Dirac Equation in the Semiclassical Regime 2019 Ying Ma
Jia Yin
+ Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime 2023 Yongyong Cai
Xuanxuan Zhou
+ Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein–Gordon–Dirac equation 2021 Jiyong Li
+ An efficient conservative difference scheme for fractional Klein–Gordon–Schrödinger equations 2017 Junjie Wang
Aiguo Xiao
+ Analysis of a conservative fourth-order compact finite difference scheme for the Klein–Gordon–Dirac equation 2021 Jiyong Li
Ting-Chun Wang
+ Efficient and accurate numerical methods for the Klein–Gordon–Schrödinger equations 2007 Weizhu Bao
Li Ming Yang
+ Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein–Gordon equations 2015 Zhiguo Xu
Xuanchun Dong
Yongjun Yuan
+ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations$$^{\star }$$ 2021 Feng Liao
Fazhan Geng
Tingchun Wang

Works That Cite This (13)

Action Title Year Authors
+ Unconditional optimal error estimates of conservative methods for Klein–Gordon–Dirac system in two dimensions 2022 Ting-Chun Wang
Yue Cheng
Lihai Ji
+ Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein–Gordon–Dirac equation 2023 Jiyong Li
+ A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime 2023 Yongyong Cai
Wenfan Yi
+ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations$$^{\star }$$ 2021 Feng Liao
Fazhan Geng
Tingchun Wang
+ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein–Gordon–Dirac system 2022 Feng Liao
Fazhan Geng
Ting-Chun Wang
+ Optimal Resolution Methods for the Klein–Gordon–Dirac System in the Nonrelativistic Limit Regime 2019 Wenfan Yi
Xinran Ruan
Chunmei Su
+ PDF Chat Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System 2023 Shasha Bian
Tingchun Wang Tingchun Wang
Shasha Bian
Yue Cheng
Shasha Bian
Tingchun Wang Tingchun Wang
+ Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant 2023 Jiyong Li
Xiaoqian Jin
+ Analysis of a conservative fourth-order compact finite difference scheme for the Klein–Gordon–Dirac equation 2021 Jiyong Li
Ting-Chun Wang
+ Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein–Gordon–Dirac equation 2021 Jiyong Li

Works Cited by This (0)

Action Title Year Authors