Results 51 to 60 of about 2,481 (254)
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Advances in Difference Equations, 2018 The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo +3 more
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Uma demonstração simples da fórmula integral de Cauchy [PDF]
, 2014 This work is based on A Note on Dixon's Proof of Cauchy's Integral Theorem, of Peter A. Loeb, [6], that establishes an elementary result in complex function theory and applies that result to simplify John D.
Hellen Lima de Paula
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Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations [PDF]
, 2006 Our main interest is an analog of a Cauchy-type integral for the theory of the Moisil-Theodoresco system of differential equations in the case of a piecewise-Lyapunov surface of integration.
Schneider B., B. Schneider
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Журнал Белорусского государственного университета: Математика, информатика, 2018 The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
doaj
Applied Sciences, 2021 The method of analytical preconditioning combines the discretization and the analytical regularization of a singular integral equation in a single step.
Mario Lucido
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Mathematics, 2022 Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are considered. Unlike the previously studied classes of equations with distributed derivatives,
Sergey M. Sitnik +3 more
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On the Cauchy theorem for hyperholomorphic functions of spatial variable [PDF]
, 2018 We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface.
Герус О. Ф.
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