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

DOI10.1007/s10915-021-01649-yzbMath1477.35198OpenAlexW3205863231MaRDI QIDQ2236546

Yanyan Li

Publication date: 25 October 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01649-y

zbMATH Keywords

stabilityKlein-Gordon-Schrödinger equationsstructure preservingLagrange multiplier approach

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton solutions (35C08)

Related Items (9)

Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains ⋮ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Energy stable schemes for the Klein-Gordon-Zakharov equations ⋮ A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints ⋮ Mass-, and energy preserving schemes with arbitrarily high order for the Klein-Gordon-Schrödinger equations ⋮ An efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equations ⋮ Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations ⋮ Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions ⋮ Efficient SAV-Hermite methods for the nonlinear Dirac equation

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