On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions
Algorithms, 2022 The present work is devoted to the construction of optimal quadrature formulas for the approximate calculation of the integrals ∫02πeiωxφ(x)dx in the Sobolev space H˜2m.
Kholmat Shadimetov +2 more
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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Linear barycentric rational collocation method for solving biharmonic equation
Demonstratio Mathematica, 2022 Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial.
Li Jin
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Delocalization error: The greatest outstanding challenge in density‐functional theory
, 2022 Every day, density-functional theory (DFT) is routinely applied to computational modeling of molecules and materials with the expectation of high accuracy.
Bryenton, Kyle R +7 more
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Goal-Oriented Mesh Adaptation using a Dissipation-Based Error Indicator [PDF]
, 2007 The accuracy of functionals of solutions of the Euler equations, solved using a finite volume code, are examined under grid refinement. It is shown that a commonly used adaptation indicator based on local solution gradients is ineffective in reducing ...
Richard Dwight +3 more
core +1 more source
Task and Resting-State Functional Connectivity Predict Driving Violations
Brain Sciences, 2023 Aberrant driving behaviors cause accidents; however, there is a lack of understanding of the neural mechanisms underlying these behaviors. To address this issue, a task and resting-state functional connectivity was used to predict aberrant driving ...
Uijong Ju
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Some Remarks on a Variational Method for Stiff Differential Equations
Mathematics, 2019 We have recently proposed a variational framework for the approximation of systems of differential equations. We associated, in a natural way, with the original problem, a certain error functional. The discretization is based on standard descent schemes,
Sergio Amat +2 more
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Theoretical error performance analysis for variational quantum circuit based functional regression
npj Quantum Information, 2023 The noisy intermediate-scale quantum devices enable the implementation of the variational quantum circuit (VQC) for quantum neural networks (QNN).
Jun Qi +3 more
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Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space [PDF]
E3S Web of ConferencesThe development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate ...
Bozarov Bakhromjon +5 more
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Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]
E3S Web of ConferencesIn this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor +5 more
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