High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation (Q2154709)

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English	High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation	scientific article

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instance of

scholarly article

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title

High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation (English)

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published in

Advances in Computational Mathematics

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publication date

20 July 2022

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zbMATH Keywords

Klein-Gordon-Schrödinger equation

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energy quadratization

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Gauss-type Runge-Kutta method

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Fourier pseudo-spectral method

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prediction-correction

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conservation

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10444-022-09962-2

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cites work

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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On coupled Klein-Gordon-Schrödinger equations. II

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Q4741072

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

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

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

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

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Optimal point-wise error estimate of a compact difference scheme 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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Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation

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Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation

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

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

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Efficient and accurate numerical methods for the 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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A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations

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Numerical Methods for Ordinary Differential Equations

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Stability of Runge-Kutta Methods for Trajectory Problems

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Geometric Numerical Integration

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Numerical solution of isospectral flows

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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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Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach

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The scalar auxiliary variable (SAV) approach for gradient flows

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

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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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 Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models

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

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A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach

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An efficient energy-preserving algorithm for the Lorentz force system

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Arbitrarily high-order energy-preserving schemes for the Camassa-Holm 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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On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions

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Attractors for the Klein–Gordon–Schrödinger equation

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

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A remark on the invariant energy quadratization (IEQ) method for preserving the original energy dissipation laws

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A revisit of the energy quadratization method with a relaxation technique

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Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

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A new Lagrange multiplier approach for gradient flows

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Supplementary variable method for thermodynamically consistent partial differential equations

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Identifiers

zbMATH Open document ID

1502.65162

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Mathematics Subject Classification ID

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10.1007/S10444-022-09962-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:2154709