Analysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equation
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Publication:2244021
DOI10.1007/s40314-021-01508-4zbMath1476.65179OpenAlexW3156898840MaRDI QIDQ2244021
Publication date: 11 November 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01508-4
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (10)
Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation ⋮ 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 ⋮ 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 ⋮ Finite difference time domain methods for the Dirac equation coupled with the Chern-Simons gauge field ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation ⋮ 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
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