Results 11 to 20 of about 4,672 (202)

Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]

AIP Advances
This paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
doaj   +1 more source

Numerical analysis of the neutron multigroup $SP_N$ equations

Comptes Rendus. Mathématique, 2021
The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem.
Jamelot, Erell, Madiot, François
doaj   +1 more source

Adaptive Fourier-Galerkin methods

Mathematics of Computation, 2013
We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d \mathbb {R}^d with dimension d ≥ 1 d\ge 1 . These methods offer unlimited approximation power only restricted by solution and data regularity.
C. Canuto, R. H. Nochetto, VERANI, MARCO
openaire   +4 more sources

Discontinuous Galerkin method on reference domain

Computer Assisted Methods in Engineering and Science, 2017
A reference domain is chosen to formulate numerical model using the discontinuous Galerkin with finite difference (DGFD) method. The differential problem, which is defined for the real domain, is transformed in a weak form to the reference domain.
Jan Jaśkowiec
doaj   +1 more source

A weighted Nitsche discontinuous Galerkin finite element method for plane problems

Journal of Hebei University of Science and Technology, 2018
The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG, Jianfei ZHANG, Mingwei WANG   +2 more
doaj   +1 more source

The Improved Element-Free Galerkin Method for 3D Helmholtz Equations

Mathematics, 2021
The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
doaj   +1 more source

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation

Results in Applied Mathematics
This paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
doaj   +1 more source

The Extended Galerkin Method for Approximate Solutions of Nonlinear Vibration Equations

Applied Sciences, 2022
An extension has been made to the popular Galerkin method by integrating the weighted equation of motion over the time of one period of vibrations to eliminate the harmonics from thee deformation function.
Ji Wang, Rongxing Wu
doaj   +1 more source

Re-iterated approximation methods for nonlinear Volterra integral equations

Mathematical Modelling and Analysis
In this article, the Newton-iteration scheme based upon iterated Galerkin operator is applied for solving non-linear Volterra Urysohn integral equations of the second kind for smooth and weakly singular kernels. A one step of improvement by iteration to
Samiran Chakraborty, Kapil Kant, Ritu Nigam, Gnaneshwar Nelakanti   +3 more
doaj   +1 more source

The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
doaj   +1 more source