High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system
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Publication:6048420
DOI10.1016/j.jcp.2023.112456OpenAlexW4386258271MaRDI QIDQ6048420
Xin Li, Lu-Ming Zhang, Zhou Sheng
Publication date: 10 October 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112456
optimization problemGauss collocation methodKlein-Gordon-Schrödinger systemLagrange multiplier approachprediction-correctionsine pseudo-spectral method
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- Unnamed Item
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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
- Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method
- Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
- On coupled Klein-Gordon-Schrödinger equations. II
- Fourth-order symmetric DIRK methods for periodic stiff problems
- Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes
- Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach
- Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations
- Global existence and asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations
- Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
- A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations
- Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation
- Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach
- Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations
- Arbitrarily high-order linear energy stable schemes for gradient flow models
- High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation
- Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs
- A new Lagrange multiplier approach for gradient flows
- Supplementary variable method for thermodynamically consistent partial differential equations
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation
- Improving the accuracy of convexity splitting methods for gradient flow equations
- A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
- Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Singular Limits of Klein–Gordon–Schrödinger Equations to Schrödinger–Yukawa Equations
- Symplectic Geometric Algorithms for Hamiltonian Systems
- On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions
- Numerical Optimization
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
- Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows
- Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy
- Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
- Geometric Numerical Integration
