Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system (Q6041514)

scientific article; zbMATH DE number 7689975

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English	Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system	scientific article; zbMATH DE number 7689975

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instance of

scholarly article

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title

Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system (English)

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Applied Mathematics and Computation

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publication date

31 May 2023

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zbMATH Keywords

Fourier pseudo-spectral method

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error estimates

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Klein-Gordon-Dirac system

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finite difference method

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convergence analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2022.127634

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cites work

Local existence of energy class solutions for the dirac—klein—gordon equations

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LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS

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Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime

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Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime

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Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime

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On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions

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Error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime

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A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

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Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems

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A direct proof of global existence for the Dirac-Klein-Gordon equations in one space dimension

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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

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A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D

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Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations

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A time-splitting spectral scheme for the Maxwell-Dirac system

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Analysis of four numerical schemes for a nonlinear Klein-Gordon equation

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Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation

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High-order compact methods for the nonlinear Dirac equation

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Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems

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Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems

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Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation

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Analysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equation

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Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation

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Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation

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Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation

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The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation

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Spectral Methods

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Two completely explicit and unconditionally convergent Fourier pseudo-spectral methods for solving the nonlinear Schrödinger equation

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Multi-hump solitary waves of a nonlinear Dirac equation

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Numerical methods for nonlinear Dirac equation

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Optimal error estimates of finite difference time domain methods for the Klein–Gordon–Dirac system

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

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AMC.2022.127634

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Sitelinks

Mathematics(1 entry)

mardi Publication:6041514