Numerical methods for nonlinear Dirac equation-Reference-Cited by-同舟云学术

Numerical methods for nonlinear Dirac equation

Published:2013-07 Issue: Volume:245 Page:131-149
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Xu Jian,Shao Sihong,Tang Huazhong

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference68 articles.

1. The quantum theory of the electron;Dirac;Proc. R. Soc. London A,1928

2. Notes to the theory of interaction via particles;Ivanenko;Zhurn. Exp. Teoret. Fiz.,1938

3. Nonlinear spinor fields;Finkelstein;Phys. Rev.,1951

4. Nonlinear spinor field;Finkelstein;Phys. Rev.,1956

5. Quantum theory of fields and elementary particles;Heisenberg;Rev. Mod. Phys.,1957

Cited by 58 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime;East Asian Journal on Applied Mathematics;2024-06

2. Improved uniform error estimates for the two-dimensional nonlinear space fractional Dirac equation with small potentials over long-time dynamics;Applied Mathematics and Computation;2024-04

3. Finite Difference Time Domain Methods for the Dirac Equation Coupled with the Chern–Simons Gauge Field;Journal of Scientific Computing;2024-02-26

4. Stability of nonlinear Dirac solitons under the action of external potential;Chaos: An Interdisciplinary Journal of Nonlinear Science;2024-01-01

5. Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime;Calcolo;2023-12-11