Results 111 to 120 of about 16,319,430 (163)

Dynamic Simulation of Distribution Networks Using Multi-stage Discontinuous Galerkin Method

CSEE Journal of Power and Energy Systems
Dynamic simulation plays a fundamental role in security evaluation of distribution networks (DNs). However, the strong stiffness and non-linearity of distributed generation (DG) models in DNs bring about burdensome computation and noteworthy instability ...
Ruizhi Yu, Wei Gu, Weiqi Liu, Peixin Li, Wei Liu   +4 more
doaj   +1 more source

A numerical algorithm based on extended cubic B-spline functions for solving time-fractional convection-diffusion-reaction equation with variable coefficients

Journal of Nigerian Society of Physical Sciences
In this research, we develop an innovative and efficient numerical method for solving a nonlinear one-dimensional time-fractional convection-diffusion-reaction equation (TFCDRE) with a variable coefficient.
Anthony Anya Okeke, Nur Nadiah Abd Hamid, Wen Eng Ong, Muhammad Abbas   +3 more
doaj   +1 more source

An hp-Local Discontinuous Galerkin method for Parabolic\ud Integro-Differential Equations [PDF]

, 2009
In this article, a priori error analysis is discussed for an hp-local discontinuous Galerkin (LDG) approximation to a parabolic integro-differential equation.
Pani, A. K., Yadav, S
core  

Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes [PDF]

, 2005
This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight ...
Buffa, Annalisa, Houston, Paul, Perugia, Ilaria   +2 more
core  

On 2D elliptic discontinuous Galerkin methods [PDF]

, 2006
Sherwin, SJ, Taylor, RL, Kirby, RM, Peiro, J, Zienkiewicz, OC   +4 more
core   +1 more source

A Local Discontinuous Galerkin Method for KdV Type Equations

SIAM Journal on Numerical Analysis, 2002
In this paper we develop a local discontinuous Galerkin method for solving KdV type equations containing third derivative terms in one and two space dimensions. The method is based on the framework of the discontinuous Galerkin method for conservation laws and the local discontinuous Galerkin method for viscous equations containing second derivatives ...
Chi-Wang Shu, Jue Yan
exaly   +5 more sources

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A Local Discontinuous Galerkin Method for the Camassa–Holm Equation

SIAM Journal on Numerical Analysis, 2008
A local discontinuous Galerkin (LDG) method is developed for solving the Camassa-Holm (CH) equation which contains nonlinear high-order derivatives. The CH equation is split into a series of linear ordinary differential equations on which the LDG method is developed.
Yan Xu, Chi-Wang Shu
exaly   +4 more sources

Local discontinuous Galerkin methods for diffusive–viscous wave equations

Journal of Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dan Ling, Chi-Wang Shu, Wenjing Yan
openaire   +3 more sources

Local discontinuous Galerkin methods for elliptic problems

Communications in Numerical Methods in Engineering, 2001
AbstractIn this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods.
PERUGIA, ILARIA, Cockburn B., Castillo P., Schötzau D.   +3 more
openaire   +2 more sources

A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems

Journal of Scientific Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Slimane Adjerid, Mahboub Baccouch
openaire   +3 more sources