Results 11 to 20 of about 7,666,446 (331)

A Discontinuous Galerkin method for Shock Capturing using a mixed high-order and sub-grid low-order approximation space [PDF]

open access: yesJournal of Computational Physics, 2019
This article considers a new discretization scheme for conservation laws. The discretization setting is based on a discontinuous Galerkin scheme in combination with an approximation space that contains high-order polynomial modes as well as piece-wise ...
P. Persson, B. Stamm
semanticscholar   +1 more source

On IVF Approximating Spaces [PDF]

open access: yesJournal of Applied Mathematics, 2013
We introduce the concept of IVF approximating spaces and obtain decision conditions that every IVF topological space is an IVF approximating space.
Zheng, Dingwei   +2 more
openaire   +4 more sources

Approximating equivariant mapping spaces [PDF]

open access: yesPacific Journal of Mathematics, 1990
Let \(G\) be a finite group and let \(V\) be a finite-dimensional unitary representation of \(G\) with unit sphere \(SV\). Let \({\mathcal U}(SV,SV)\) be the \(G\)-space of unbased maps \(SV\to SV\), where \(G\) acts by conjugation. Let also \(S^ V\) denote the one-point compactification of \(V\) and let \(\Omega^ VS^ V\) denote the \(G\)-space of ...
Costenoble, S. R.   +2 more
openaire   +2 more sources

Bitopological approximation space with application to data reduction in multi-valued information systems

open access: yesFilomat, 2020
. We presented bitopological approximation space as a generalization of classical approximation space. This generalization is based on a topological space that have a subbases generated by a family of binary relations defined on the universe of discourse.
A. Salama
semanticscholar   +1 more source

Diophantine approximation in metric space [PDF]

open access: yesBulletin of the London Mathematical Society, 2022
AbstractDiophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitrary totally bounded metric space where the rationals are replaced with a countable hierarchy of “well‐spread” points, which we refer to asabstract rationals.
Fraser, Jonathan   +2 more
openaire   +6 more sources

Nearness approximation space based on axiomatic fuzzy sets

open access: yesInternational Journal of Approximate Reasoning, 2012
Lidong Wang, Xiaodong Liu, Wangren Qiu
semanticscholar   +3 more sources

Best Approximation in Cone-Normed Space [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2016
The question of whether cone metric spaces are real generalizations of metric spaces is proved, in the sense of Best Approximation, not to be affirmative.
Abdallah Hakawati, Sawsan Al-Dwaik
doaj   +1 more source

Approximation of positive operators by analytic vectors

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
We give the estimates of approximation errors while approximating of a positive operator $A$ in a Banach space by analytic vectors. Our main results are formulated in the form of Bernstein and Jackson type inequalities with explicitly calculated ...
M.I. Dmytryshyn
doaj   +1 more source

Approximation of Space-Time Fractional Equations

open access: yesFractal and Fractional, 2021
The aim of this paper is to provide approximation results for space-time non-local equations with general non-local (and fractional) operators in space and time.
Raffaela Capitanelli, Mirko D’Ovidio
doaj   +1 more source

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators [PDF]

open access: yesNature Machine Intelligence, 2019
It is widely known that neural networks (NNs) are universal approximators of continuous functions. However, a less known but powerful result is that a NN with a single hidden layer can accurately approximate any nonlinear continuous operator.
Lu Lu   +4 more
semanticscholar   +1 more source

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