Results 11 to 20 of about 164,476 (314)
Improving accuracy of the fifth-order WENO scheme by using the exponential approximation space [PDF]
SIAM Journal on Numerical Analysis, 2020 The aim of this study is to develop a novel WENO scheme that improves the performance of the well-known fifth-order WENO methods. The approximation space consists of exponential polynomials with a tension parameter that may be optimized to fit the the ...
Youngsoo Ha +3 more
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A Discontinuous Galerkin method for Shock Capturing using a mixed high-order and sub-grid low-order approximation space [PDF]
Journal 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
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Approximating equivariant mapping spaces [PDF]
Pacific 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
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Filomat, 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
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Best Approximation in Cone-Normed Space [PDF]
مجلة 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
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Diophantine approximation in metric space [PDF]
Bulletin 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
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Approximation of positive operators by analytic vectors
Karpatsʹkì 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
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators [PDF]
Nature 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
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Approximation of Space-Time Fractional Equations
Fractal 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
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Fuzzy Approximating Spaces [PDF]
Journal of Applied Mathematics, 2014 Relationships between fuzzy relations and fuzzy topologies are deeply researched. The concept of fuzzy approximating spaces is introduced and decision conditions that a fuzzy topological space is a fuzzy approximating space are obtained.
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