A numerical method with particle conservation for the Maxwell-Dirac system
From MaRDI portal
Publication:972152
DOI10.1016/j.amc.2010.02.002zbMath1189.81051OpenAlexW2059385796MaRDI QIDQ972152
Publication date: 25 May 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.002
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (7)
High-order conservative schemes for the nonlinear Dirac equation ⋮ High-order numerical methods with mass and energy conservation for spin–orbit-coupled Bose–Einstein condensates ⋮ Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations ⋮ A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations ⋮ High-order compact methods for the nonlinear Dirac equation ⋮ A mass conserved splitting method for the nonlinear Schrödinger equation ⋮ Compact implicit integration factor method for the nonlinear Dirac equation
Cites Work
- A split step approach for the 3-D Maxwell's equations
- Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations
- An efficient and stable numerical method for the Maxwell--Dirac system
- A time-splitting spectral scheme for the Maxwell-Dirac system
- Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
- General solutions of Maxwell–Dirac equations in 1+1-dimensional space–time and a spatially confined solution
- Conservation laws for the Maxwell-Dirac equations with dual Ohm’s law
- Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
- A solitary wave solution of the Maxwell-Dirac equations
- Maxwell–Dirac Equations in Four-Dimensional Minkowski Space
- Semiclassical asymptotics for the Maxwell–Dirac system
- Local existence for the maxwell-dirac equations in three space dimensions
- An ongoing big bang model in the special relativistic Maxwell–Dirac equations
- Localized solutions of the Dirac–Maxwell equations
- On the Construction and Comparison of Difference Schemes
- A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates
This page was built for publication: A numerical method with particle conservation for the Maxwell-Dirac system
