scientific article; zbMATH DE number 7479358

Publication date: 22 February 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/19947.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

error analysis Schrödinger equation mass conservative energy conservative averaging local discontinuous Galerkin method

Green's functions for ordinary differential equations (34B27) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

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Ultraconvergence for averaging discontinuous finite elements and its applications in Hamiltonian system
The highest superconvergence analysis of ADG method for two point boundary values problem
Pseudo-spectral solution of nonlinear Schrödinger equations
A conservative local discontinuous Galerkin method for the solution of nonlinear Schrödinger equation in two dimensions
Mass preserving discontinuous Galerkin methods for Schrödinger equations
Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator
Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
Difference schemes for solving the generalized nonlinear Schrödinger equation
A discontinuous \(hp\) finite element method for convection-diffusion problems
Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation
Local discontinuous Galerkin methods for nonlinear Schrödinger equations
Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
Discontinuous Galerkin Methods for Ordinary Differential Equations
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method
A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems