Results 71 to 80 of about 1,219,987 (236)
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Homotopy perturbation method for the hypersingular integral equations of the first kind
Ain Shams Engineering Journal, 2018 Simple and efficient convex homotopy perturbation method (HPM) is presented to obtain an approximate solution of hyper-singular integral equations of the first kind. Convergence and error estimate of HPM are obtained.
Zainidin K. Eshkuvatov +3 more
doaj +1 more source
Approximation of Finite Hilbert and Hadamard Transforms by Using Equally Spaced Nodes
Mathematics, 2020 In the present paper, we propose a numerical method for the simultaneous approximation of the finite Hilbert and Hadamard transforms of a given function f, supposing to know only the samples of f at equidistant points. As reference interval we consider
Frank Filbir +2 more
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Hypersingular Integral Equations for a Thermoelastic Problem of Multiple Planar Cracks in an Anisotropic Medium [PDF]
, 1999 The problem of calculating the thermoelastic stress around an arbitrary number of arbitrarily located planar cracks in an infinite anisotropic medium is considered. The cracks open up under the action of suitably prescribed heat flux and traction.
Clements, D. +5 more
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International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 17, Page 4054-4075, 10 December 2025.ABSTRACT We compare two algorithms to simulate the propagation, arrest, recession, and closure of a planar hydraulic fracture, focusing on their ability to capture the physical processes governing fracture recession and closure. The first algorithm is based on a fixed grid with contact detection during recession, while the second is based on a moving ...
Mohsen Talebkeikhah +4 more
wiley +1 more source
Fractional Q$Q$‐curvature on the sphere and optimal partitions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019 The method of numerical modeling of wave scattering by periodic impedance grating is considered. In the case of a harmonic dependence of the field on time and the uniformity of the structure along a certain axis, the three-dimensional problem reduces to ...
Vladimir D. Dushkin +2 more
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High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]
, 2012 This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
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Kinematic Representations of Viscoelastic Postseismic Deformation
Earth and Space Science, Volume 12, Issue 8, August 2025.Abstract Following large earthquakes, viscoelastic stress relaxation may contribute to postseismic deformation observed at Earth's surface. Mechanical representations of viscoelastic deformation require a constitutive relationship for the lower crust/upper mantle material where stresses are diffused and, for non‐linear rheologies, knowledge of absolute
John P. Loveless, Brendan J. Meade
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Hypersingular Integral Equations in Banach Spaces by the Quadrature Method [PDF]
, 2013 A new numerical method is introduced and investigated for the hypersingular integral equations defined in Banach spaces. The hypersingular integral equations belong to a wider class of singular integral equations having much more stronger singularities ...
E G Ladopoulos
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