Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime

DOI10.1007/s10915-019-00919-0zbMath1418.35338OpenAlexW2912950356WikidataQ128409425 ScholiaQ128409425MaRDI QIDQ2316204

Xinran Ruan, Wenfan Yi, Chun-Mei Su

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00919-0

zbMATH Keywords

exponential wave integratornonrelativistic limit regimehigh oscillationYukawa interactionKlein-Gordon-Dirac systemtime-splitting techniqueoptimal resolution

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (15)

Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System ⋮ Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system ⋮ Higher‐order explicit schemes based on the method of characteristics for hyperbolic equations with crossing straight‐line characteristics ⋮ Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant ⋮ Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime ⋮ Low-regularity integrators for nonlinear Dirac equations ⋮ Analysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equation ⋮ Unnamed Item ⋮ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\) ⋮ Unconditional optimal error estimates of conservative methods for Klein-Gordon-Dirac system in two dimensions ⋮ Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation ⋮ Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity

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