A novel kind of efficient symplectic scheme for Klein-Gordon-Schrödinger equation

DOI10.1016/j.apnum.2018.09.005zbMath1435.65123OpenAlexW2889781326MaRDI QIDQ1615880

R. Smith

Publication date: 31 October 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.09.005

zbMATH Keywords

Klein-Gordon-Schrödinger equationHamiltonian formsymplectic scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (11)

Multisymplectic structure-preserving scheme for the coupled Gross–Pitaevskii equations ⋮ An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation ⋮ Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation ⋮ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Efficient energy structure-preserving schemes for three-dimensional Maxwell's equations ⋮ Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations ⋮ Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions ⋮ Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations ⋮ Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the Klein-Gordon-Schrödinger equations ⋮ Error estimates for a class of energy- and Hamiltonian-preserving local discontinuous Galerkin methods for the Klein-Gordon-Schrödinger equations ⋮ Stabilized seventh-order dissipative compact scheme using simultaneous approximation terms

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