Results 21 to 30 of about 123,466,522 (150)

Spectral Galerkin Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

open access: yesFractal and Fractional, 2021
In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated.
Fangyuan Wang, Xiaodi Li, Zhaojie Zhou
doaj   +1 more source

Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations

open access: yesAlgorithms, 2022
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Omar Khalil   +3 more
doaj   +1 more source

Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates

open access: yesComputational Methods in Applied Mathematics, 2022
Abstract In their article “Coupling at a distance HDG and BEM”, Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the boundary element method (BEM) to solve an exterior Dirichlet problem.
Nestor Sánchez   +2 more
openaire   +4 more sources

Numerical Method for a Cauchy Problem for Multi-Dimensional Laplace Equation with Bilateral Exponential Kernel

open access: yesMathematics, 2023
This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
doaj   +1 more source

The spectral discretization of the second-order wave equation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

open access: yesAxioms, 2023
For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
doaj   +1 more source

A priori error estimates for energy-based quasicontinuum approximations of a periodic chain [PDF]

open access: yes, 2011
We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: the local QC method, the energy-based QC method, and the quasi-nonlocal QC method.
Christoph Ortner   +3 more
core   +1 more source

A priori error analysis of two force-based atomistic/continuum models of a periodic chain [PDF]

open access: yes, 2011
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid model for the simulation of defects in crystals. We present an a priori error analysis of the QCF method, applied to a one-dimensional periodic chain ...
Makridakis , C.   +5 more
core   +1 more source

A new mixed discontinuous Galerkin method for the electrostatic field

open access: yesAdvances in Difference Equations, 2019
We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size.
Abdelhamid Zaghdani, Mohamed Ezzat
doaj   +1 more source

Estimation of channel MSE for ATSC 3.0 receiver and its applications

open access: yesICT Express, 2022
In this paper, we propose a method to estimate the mean square error (MSE) of the estimated channel for ATSC (Advanced Television Systems Committee) 3.0 systems.
Yu-Sun Liu   +2 more
doaj   +1 more source

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