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 potential scattering problem is included to demonstrate the high order accuracy of the proposed numerical method. Key Words. Local discontinuous Galerkin (LDG) method, Schrödinger equation, quantum structures. 1
Mass and energy conservative numerical methods are proposed for a general system of N strongly coupl...
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space fractional Kle...
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space fractional Kle...
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...
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...
Discontinuous Galerkin (DG) methods are a class of finite element methods using discontinuous basis ...
Abstract In this paper, we develop a multiscale local discontinuous Galerkin (LDG) method to simulat...
Abstract. In this paper, we present local discontinuous Galerkin methods (LDG) to simulate an import...
We face the numerical solving process of the nonlinear Schrödinger equation (NLSE), also called Gros...
A space-time Trefftz discontinuous Galerkin method for the Schrödinger equation with piecewise-const...
In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Sc...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
Abstract. Wave propagation problems arise in a wide range of applications. The energy conserving pro...
Mass and energy conservative numerical methods are proposed for a general system of N strongly coupl...
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space fractional Kle...
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space fractional Kle...
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...
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...
Discontinuous Galerkin (DG) methods are a class of finite element methods using discontinuous basis ...
Abstract In this paper, we develop a multiscale local discontinuous Galerkin (LDG) method to simulat...
Abstract. In this paper, we present local discontinuous Galerkin methods (LDG) to simulate an import...
We face the numerical solving process of the nonlinear Schrödinger equation (NLSE), also called Gros...
A space-time Trefftz discontinuous Galerkin method for the Schrödinger equation with piecewise-const...
In this paper we develop a local discontinuous Galerkin method to solve the generalized nonlinear Sc...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
Abstract. Wave propagation problems arise in a wide range of applications. The energy conserving pro...
Mass and energy conservative numerical methods are proposed for a general system of N strongly coupl...
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space fractional Kle...
The formulation of the Local Discontinuous Galerkin (LDG) method applied to the space fractional Kle...