Results 31 to 40 of about 4,785 (188)
Axioms, 2022 In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary.
Batirkhan Turmetov, Valery Karachik
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Flexible specification of directional spatial processes for eigenvector maps
Methods in Ecology and Evolution, EarlyView.Abstract Understanding spatial structure is crucial when analysing species distributions, biodiversity and community dynamics. Spatial analysis using eigenvector maps provides a general framework for capturing spatial patterns in ecological data. Among these methods, asymmetric eigenvector maps (AEM) are particularly useful for capturing asymmetric ...
Shota Homma +3 more
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EN The wave model of secondary flows and coherent structures in pipes
Holodilʹnaâ Tehnika i Tehnologiâ, 2020 In this article, a theoretical analysis of the flows arising in the cross sections of fluid and gas flows is performed. Such flows are subdivided into secondary flows and coherent structures. From experimental studies it is known that both types of flows
S. Surkov
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2D Piecewise Linear Scalar Fields with Invertible Integral Lines
Computer Graphics Forum, EarlyView.Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben +3 more
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Eigenfunctions on an infinite Schrödinger network
Open MathematicsIn this article, we show that there is a one-to-one correspondence between the eigenfunctions associated with the perturbed Laplacian operator Δq{\Delta }_{q} on a Schrödinger infinite network {X,t,q}\{X,t,q\} with weight function q(a)q\left(a) and the ...
Bajunaid Ibtesam +2 more
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Diffraction by Circular Pin: Wiener–Hopf Method
MathematicsIn this paper, the boundary value problem of wave diffraction on a semi-infinite circular pin is solved using the Wiener–Hopf method with compensation of eigenmodes.
Seil Sautbekov +2 more
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Mesh Processing Non‐Meshes via Neural Displacement Fields
Computer Graphics Forum, EarlyView.Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the solvability of initial-boundary value problems for a nonlocal analogue of a hyperbolic equation in a cylindrical domain is studied. The elliptic part of the considered equation involves a nonlocal Laplace operator, which is introduced
M.T. Baizhanova, B.Kh. Turmetov
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Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Computer Graphics Forum, EarlyView.Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
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Basis Properties of Fučík Eigenfunctions
Analysis Mathematica, 2022 We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
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