Results 71 to 80 of about 123,466,522 (150)

Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2006
The multiadaptive continuous/discontinuous Galerkin methods \mcgq{} and \mdgq{} for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with time steps which may vary for different components of the computed solution.
openaire   +2 more sources

Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis [PDF]

open access: yes, 2006
We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite ...
Emmanuil H. Georgoulis   +5 more
core  

Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

open access: yesAdvances in Difference Equations, 2018
We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
doaj   +1 more source

Finite volume element method with the WSGD formula for nonlinear fractional mobile/immobile transport equations

open access: yesAdvances in Difference Equations, 2020
In this article, a finite volume element method with the second-order weighted and shifted Grünwald difference (WSGD) formula is proposed and studied for nonlinear time fractional mobile/immobile transport equations on triangular grids. By using the WSGD
Jie Zhao   +3 more
doaj   +1 more source

FPU-Supported Running Error Analysis

open access: yesActa Polytechnica, 2010
A-posteriori forward rounding error analyses tend to give sharper error estimates than a-priori ones, as they use actual data quantities. One of such a-posteriori analysis – running error analysis – uses expressions consisting of two parts; one generates
T. Zahradnický, R. Lórencz
doaj  

A Mollification Regularization Method for the Inverse Source Problem for a Time Fractional Diffusion Equation

open access: yesMathematics, 2019
We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this
Le Dinh Long   +3 more
doaj   +1 more source

Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs

open access: yes, 2022
In this work, we derive a priori error estimate of the mixed residual method when solving some elliptic PDEs. Our work is the first theoretical study of this method.
Li, Lingfeng   +3 more
core  

An a priori error estimate for the finite element modelling of electromagnetic waves interacting with a periodic diffraction grating

open access: yes, 2013
An a priori error estimate using a so called α,β- periodic transformation to study electromagnetic waves in a periodic diffraction grating is derived. It has been reported for single scattering that there is an instability in numerical methods for high ...
Mulholland, Anthony, Lord, Natacha
core   +4 more sources

MAP Estimation of Chin and Cheek Contours in Video Sequences

open access: yesEURASIP Journal on Advances in Signal Processing, 2004
An algorithm for the estimation of chin and cheek contours in video sequences is proposed. This algorithm exploits a priori knowledge about shape and position of chin and cheek contours in images.
Kampmann Markus
doaj   +1 more source

Chebyshev collocation method for fractional Newell-Whitehead-Segel equation

open access: yesAlexandria Engineering Journal
In this paper, a collocation approach for the fractional Newell-Whitehead-Segel equation is described. The finite difference method is used to discretized the time-fractional derivative, and Chebyshev functions are used for interpolating the spatial ...
E. Gebril, M.S. El-Azab, M. Sameeh
doaj   +1 more source

Home - About - Disclaimer - Privacy