High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system (Q6048420)

scientific article; zbMATH DE number 7748043

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English	High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system	scientific article; zbMATH DE number 7748043

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instance of

scholarly article

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title

High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system (English)

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Journal of Computational Physics

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publication date

10 October 2023

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zbMATH Keywords

Klein-Gordon-Schrödinger system

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Lagrange multiplier approach

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optimization problem

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Gauss collocation method

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prediction-correction

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sine pseudo-spectral method

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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.jcp.2023.112456

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cites work

Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

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Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations

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Singular Limits of Klein–Gordon–Schrödinger Equations to Schrödinger–Yukawa Equations

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Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes

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

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A new Lagrange multiplier approach for gradient flows

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Fourth-order symmetric DIRK methods for periodic stiff problems

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On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions

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On coupled Klein-Gordon-Schrödinger equations. II

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Q3050865

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Improving the accuracy of convexity splitting methods for gradient flow equations

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Supplementary variable method for thermodynamically consistent partial differential equations

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Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach

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Arbitrarily high-order linear energy stable schemes for gradient flow models

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Global existence and asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations

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Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional 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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Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation

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Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach

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A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations

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Q4309718

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

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The scalar auxiliary variable (SAV) approach for gradient flows

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Analysis of a conservative high-order compact finite difference scheme 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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Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation

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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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Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

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Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs

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Identifiers

DOI

10.1016/j.jcp.2023.112456

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6048420