Add to ORKGAbstract. This paper presents a high order local discontinuous Galerkin time-domain method for solving time dependent Schrödinger equations. After rewriting the Schrödinger equation in terms of a first order system of equations, a numerical flux is constructed to preserve the conservative property for the density of the particle described. Numerical results for a model square poten-tial scattering problem is included to demonstrate the high order accuracy of the proposed numerical method. Key Words. local discontinuous Galerkin (LDG) method, Schrödinger equa-tion, quantum structures
The aim of this study is to solve linear and nonlinear Schrödinger equationswith periodic boundary c...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
AbstractIn this paper, we propose a high order Fourier spectral-discontinuous Galerkin method for ti...
Abstract. This paper presents a high order local discontinuous Galerkin time-domain method for solvi...
This paper presents a high order local discontinuous Galerkin time-domain method for solving time de...
Discontinuous Galerkin (DG) methods are a class of finite element methods using discontinuous basis ...
Abstract. In this paper, we present local discontinuous Galerkin methods (LDG) to simulate an import...
This paper presents error analysis of hybridizable discontinuous Galerkin (HDG) time-domain method f...
This paper presents error analysis of hybridizable discontinuous Galerkin (HDG) time-domain method f...
We face the numerical solving process of the nonlinear Schrödinger equation (NLSE), also called Gros...
Abstract In this paper, we develop a multiscale local discontinuous Galerkin (LDG) method to simulat...
Abstract. Wave propagation problems arise in a wide range of applications. The energy conserving pro...
Abstract. We analyze a local discontinuous Galerkin (LDG) method for fourth-order time-dependent pro...
International audienceThis paper is concerned with the design of a reduced-order model (ROM) based o...
Mass and energy conservative numerical methods are proposed for a general system of N strongly coupl...
The aim of this study is to solve linear and nonlinear Schrödinger equationswith periodic boundary c...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
AbstractIn this paper, we propose a high order Fourier spectral-discontinuous Galerkin method for ti...
Abstract. This paper presents a high order local discontinuous Galerkin time-domain method for solvi...
This paper presents a high order local discontinuous Galerkin time-domain method for solving time de...
Discontinuous Galerkin (DG) methods are a class of finite element methods using discontinuous basis ...
Abstract. In this paper, we present local discontinuous Galerkin methods (LDG) to simulate an import...
This paper presents error analysis of hybridizable discontinuous Galerkin (HDG) time-domain method f...
This paper presents error analysis of hybridizable discontinuous Galerkin (HDG) time-domain method f...
We face the numerical solving process of the nonlinear Schrödinger equation (NLSE), also called Gros...
Abstract In this paper, we develop a multiscale local discontinuous Galerkin (LDG) method to simulat...
Abstract. Wave propagation problems arise in a wide range of applications. The energy conserving pro...
Abstract. We analyze a local discontinuous Galerkin (LDG) method for fourth-order time-dependent pro...
International audienceThis paper is concerned with the design of a reduced-order model (ROM) based o...
Mass and energy conservative numerical methods are proposed for a general system of N strongly coupl...
The aim of this study is to solve linear and nonlinear Schrödinger equationswith periodic boundary c...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
AbstractIn this paper, we propose a high order Fourier spectral-discontinuous Galerkin method for ti...