Results 21 to 30 of about 232,320 (337)

Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions [PDF]

open access: yes, 2019
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind.
Bao, Gang, Xu, Liwei, Yin, Tao
core   +3 more sources

A singular stochastic integral equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
This note is devoted to the discussion of the stochastic differential equation X d X + Y d Y = 0 XdX + YdY = 0 , X X and Y Y being continuous local martingales. A method to construct solutions of this equation is given.
Nualart, David, Sanz, Marta
openaire   +4 more sources

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov   +1 more
doaj   +1 more source

Finite-part singular integral approximations in Hilbert spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
E. G. Ladopoulos   +2 more
doaj   +1 more source

Interpolation method for solving Volterra integral equations with weakly singular kernel using an advanced barycentric Lagrange formula

open access: yesAin Shams Engineering Journal, 2022
We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla   +3 more
doaj   +1 more source

Regularity of the minimiser of one-dimensional interaction energies

open access: yes, 2019
We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups,
Kimura, M., van Meurs, P.
core   +1 more source

Boundary control of a singular reaction-diffusion equation on a disk [PDF]

open access: yes, 2016
Recently, the problem of boundary stabilization for unstable linear constant-coefficient reaction-diffusion equation on N-balls has been solved by means of the backstepping method.
Krstic, Miroslav, Vazquez, Rafael
core   +2 more sources

An $ hp $-version spectral collocation method for fractional Volterra integro-differential equations with weakly singular kernels

open access: yesAIMS Mathematics, 2023
We present a multi-step spectral collocation method to solve Caputo-type fractional integro-differential equations (FIDEs) involving weakly singular kernels.
Chuanli Wang, Biyun Chen
doaj   +1 more source

Ellipsoid partition function from Seiberg-Witten monopoles [PDF]

open access: yes, 2015
We study Higgs branch localization of N=2 supersymmetric theories placed on compact Euclidean manifolds. We analyze the resulting localization equations in detail on the four-sphere and find that in this case the path integral is dominated by vortex-like
Pan, Yiwen, Peelaers, Wolfger
core   +2 more sources

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

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