Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent
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In this paper, a high-order local discontinuous Galerkin (LDG) method combined with
weighted and shifted Grünwald difference (WSGD) approximation is developed and …

In this paper, we propose a discontinuous finite volume element method to solve a phase
field model for two immiscible incompressible fluids. In this finite volume element scheme …

This paper considers deriving new exact solutions of a nonlinear complex generalized
Zakharov dynamical system for two different definitions of derivative operators called …

In this article, we formulate an efficient and accurate numerical method for approximations of
the coupled Schrödinger–Boussinesq (SBq) system. The main features of our method are …

Mass and energy conservative numerical methods are proposed for a general system of N
strongly coupled nonlinear Schrödinger equations (N-CNLS). Motivated by the structure …

This article proposes a selective immersed discontinuous Galerkin method based on
bilinear immersed finite elements (IFE) for solving second‐order elliptic interface problems …

In this article, a local discontinuous Galerkin (LDG) method is studied for numerically solving
the fractal mobile/immobile transport equation with a new time Caputo–Fabrizio fractional …

The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space
fractional Klein-Gordon-Schrödinger system with generalized interaction is presented. By …

In this paper, we develop the fully discrete local discontinuous Galerkin (LDG) methods
coupled with the implicit-explicit (IMEX) multistep time marching for solving the nonlinear …