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Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant - MaRDI portal

Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant (Q6108235)

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scientific article; zbMATH DE number 7704435

Language	Label	Description	Also known as
English	Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant	scientific article; zbMATH DE number 7704435

Statements

scholarly article

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Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant (English)

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Mathematics and Computers in Simulation

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publication date

29 June 2023

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zbMATH Keywords

time-splitting

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long-time dynamics

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improved error bounds

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small coupling constant

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Klein-Gordon-Schrödinger equation

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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.matcom.2023.04.032

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Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity

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Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation

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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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Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

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Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials

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Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations

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A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation

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Asymptotic consistent exponential-type integrators for Klein-Gordon-Schrödinger systems from relativistic to non-relativistic regimes

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A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations

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Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method

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A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation

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Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation

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Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials

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Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials

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On coupled Klein-Gordon-Schrödinger equations. II

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Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations

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Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation

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On the global strong solutions of coupled Klein-Gordon-Schrödinger equations

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Periodic solitary waves for two coupled nonlinear Klein–Gordon and Schr dinger equations

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Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations

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Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method

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Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrödinger equations

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

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Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation

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

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A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance

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A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation

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Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance

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On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

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Relativistic Quantum Physics

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Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations

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Spectral Methods

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Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation

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Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation

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A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations

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Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions

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The periodic wave solutions for the Klein-Gordon-Schrödinger equations

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The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations

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Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field

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Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension

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New energy-preserving schemes for Klein-Gordon-Schrödinger equations

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A second order operator splitting numerical scheme for the ``good'' Boussinesq equation

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.MATCOM.2023.04.032

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Sitelinks

Mathematics(1 entry)

mardi Publication:6108235

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