An integrating factor for nonlinear Dirac equations

DOI10.1016/j.cpc.2010.03.004zbMath1219.81121OpenAlexW2012537882MaRDI QIDQ547002

Fernando Vadillo, Francisco de la Hoz

Publication date: 30 June 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.03.004

zbMATH Keywords

nonlinear wavesconservation lawsintegrating factornonlinear Dirac equations

Mathematics Subject Classification ID

Related Items (11)

The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation ⋮ Numerical simulations of time-dependent partial differential equations ⋮ Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. I: Periodic boundary conditions ⋮ A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations ⋮ Numerical study of solitary wave stability in cubic nonlinear Dirac equations in 1D ⋮ Numerical simulation of the \(N\)-dimensional sine-Gordon equation via operational matrices ⋮ Study of instability of the Fourier split-step method for the massive Gross-Neveu model ⋮ Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction ⋮ Compact implicit integration factor method for the nonlinear Dirac equation ⋮ A well-balanced and asymptotic-preserving scheme for the one-dimensional linear Dirac equation ⋮ Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime

Uses Software

• Matlab
• RODAS
• FFTW
• bvp4c

Cites Work

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• The numerical study of a nonlinear one-dimensional Dirac equation
• An efficient adaptive mesh redistribution method for a nonlinear Dirac equation
• Interaction for the solitary waves of a nonlinear Dirac model
• Split-step spectral schemes for nonlinear Dirac systems
• Linearized Crank-Nicolson scheme for nonlinear Dirac equations
• Chaos, solitons and fractals in the nonlinear Dirac equation
• Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model
• Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations
• Variational methods in relativistic quantum mechanics
• Spectral Methods in MATLAB
• Solving ODEs with MATLAB

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