An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations (Q6551796)

scientific article; zbMATH DE number 7861507

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English	An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations	scientific article; zbMATH DE number 7861507

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instance of

scholarly article

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title

An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

7 June 2024

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zbMATH Keywords

KGS coupling equations

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IMEX scheme

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energy conservation

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RERK method

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optimal error estimates

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MaRDI profile type

Publication

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cites work

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

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Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains

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

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Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains

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Numerical comparison of five difference schemes for coupled Klein–Gordon–Schrödinger equations in quantum physics

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

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Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations

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A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations

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Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations

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Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae

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Numerical solution of two and three dimensional time fractional damped nonlinear Klein-Gordon equation using ADI spectral element method

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Functionally-fitted energy-preserving integrators for Poisson systems

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Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems

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Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)

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Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method

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The scalar auxiliary variable (SAV) approach for gradient flows

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Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations

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Implicit Runge-Kutta Processes

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems

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Arbitrarily high order and fully discrete extrapolated RK-SAV/DG schemes for phase-field gradient flows

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Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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Extrapolated stabilized explicit Runge-Kutta methods

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Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs

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Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems

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Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations

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Strong Stability of Explicit Runge--Kutta Time Discretizations

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Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems

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Symplectic Runge-Kutta semidiscretization for stochastic Schrödinger equation

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Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations

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Q4714145

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Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media

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Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials

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A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation

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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

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Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms

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Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes 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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Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CNSNS.2024.108082

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Sitelinks

Mathematics(1 entry)

mardi Publication:6551796