Galerkin Method and Its Residual Correction with Modified ...

A Galerkin-like method for solving linear functional differential ...

Suayip Yuzbas and Murat Karacayir (14) have presented a weighted residual Galerkin method to solve linear functional differential equations. ... ... Since the ...

Publications - Davide Torlo's Homepage

We combine the modified Patankar Deferred Correction approach for the ... "Friedrichs' systems discretized with the Discontinuous Galerkin method: domain ...

Lecture 02-Modified Galerkin Method | PDF - Scribd

This document discusses finite element analysis of structural systems using variational and weighted residual methods. It covers the modified Galerkin ...

Numerical Approximation of a Time-Fractional Modified Equal-Width ...

This paper used the B-spline weighted residual Galerkin finite element method with a weight function different in degrees from the spline function to obtain ...

A Posteriori Error Analysis of the FEM Solution for Generic Linear ...

Islam, Kamrujjaman, Galerkin method and its residual correction with modified Legendre polynomials, Contemporary Mathematics, (2022). E. Süli ...

Application to a Riccati Differential Equation of Fractional Order - OUCI

We present a new numerical approach to solving the fractional differential Riccati equations numerically. The approach—called the Mittag-Leffler–Galerkin method ...

Algebraic flux correction schemes preserving the eigenvalue range ...

In contrast to the flux-corrected transport (FCT) algorithm developed previously by the author and existing slope limiting techniques for stress tensors, the ...

Direct Discontinuous Galerkin Method and Its Variations for Second ...

with β1 = 0 in the numerical flux un of (2.4), the DDG method with interface correction ... modified finite volume approximation of second-order elliptic equa-.

Galerkin method - Wikipedia

In mathematics, in the area of numerical analysis, Galerkin methods are a family of methods for converting a continuous operator problem, ...

discontinuous galerkin method with the spectral deferred correction ...

In a later study, Qiu and Shu [30] used a modified. WENO scheme based on Hermite polynomials to reduce the stencil. Other limiters, such as the moment limiter ( ...

The Local Discontinuous Galerkin Method for Time-Dependent ...

In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection-diffusion systems.

Publications Search – Research - Sandia National Laboratories

Our approach is based on a nonlinear implementation of the discontinuous Galerkin method, and possesses a number of key features. First, the method developed is ...

Peridynamic Galerkin method: an attractive alternative to finite ...

The new approach is based on the correspondence theory of Peridynamics. Some modifications of this framework allows for a consistent and stable ...

galerkin weighted residual: Topics by Science.gov

The method of weighted residuals in the form of a modified Galerkin method ... The procedure follows the algebraic flux correction procedure usually used ...

The Use of Galerkin Finite-Element Methods to Solve Mass ...

They essentially modified the HOC method to ... The mathematics associated with the finite-element use of the Galerkin weighted-residual method will be.

the use of galerkin finite element methods to solve mass transport ...

They essentially modified the MOC method to include a point tracking technique ... Galerkin weighted residual method will be developed in some detail in the ...

BOOLE COLLOCATION METHOD BASED ON RESIDUAL ...

[...]is improved the equation The error function is defined as where is expressed the exact solution of the problem. [...]linear Fredholm integro differential ...

Approximate solutions for the fractional order quadratic Riccati and ...

New theorems are proved to minimize the generated residual after invoking the Legendre polynomials as a basis in the Galerkin method. The proposed method is ...

differential equations with weakly singular kernel

Lastly, the method and the residual correction technique are illustrated with several examples. ... Keywords: Galerkin method; inner product; integro-differential ...

Approximate Solutions of Differential Equations Using Galerkin's ...

The usual textbook approach to Galerkin's method can be misleading, and fails to highlight all the possible errors that arise in an approximation scheme. A ...