Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation
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Publication:2057272
DOI10.1016/j.apnum.2021.09.006zbMath1484.65263OpenAlexW3204714066WikidataQ112880269 ScholiaQ112880269MaRDI QIDQ2057272
Publication date: 9 December 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.09.006
energy-preserving methodnonlinear Dirac equationexponential integratorcut-off techniqueFourier pseudo-spectral method
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (8)
A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation ⋮ Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system ⋮ A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials ⋮ Uniformly accurate nested Picard iterative schemes for nonlinear Schrödinger equation with highly oscillatory potential ⋮ Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant ⋮ Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant ⋮ Finite difference time domain methods for the Dirac equation coupled with the Chern-Simons gauge field ⋮ Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime
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