Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.

DOI10.1016/j.cnsns.2021.105836zbMath1466.35127OpenAlexW3147825935MaRDI QIDQ2025575

Sergio Gómez, Paul Castillo

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105836

zbMATH Keywords

discontinuous Galerkin methodnonlinear Schrödinger systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47)

Related Items (6)

Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system ⋮ Unconditional optimal error estimates of a linearized mass- and energy-conservation FEM for a coupled nonlinear Schrödinger equations ⋮ A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations ⋮ Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations ⋮ A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems ⋮ Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis

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