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]
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
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On IVF Approximating Spaces [PDF]
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
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Approximating equivariant mapping spaces [PDF]
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
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. 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
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Diophantine approximation in metric space [PDF]
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
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Nearness approximation space based on axiomatic fuzzy sets
Lidong Wang, Xiaodong Liu, Wangren Qiu
semanticscholar +3 more sources
Best Approximation in Cone-Normed Space [PDF]
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
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Approximation of positive operators by analytic vectors
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
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Approximation of Space-Time Fractional Equations
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
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators [PDF]
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
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