Results 21 to 30 of about 230,153 (288)
A singular stochastic integral equation [PDF]
Proceedings 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
An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces [PDF]
, 2016 A high-order accurate, explicit kernel-split, panel-based, Fourier-Nystr\"om discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains.
Helsing, Johan, Karlsson, Anders
core +1 more source
Finite-part singular integral approximations in Hilbert spaces
International 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
Regularity of the minimiser of one-dimensional interaction energies
, 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
Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 more
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On a New Class of Singular Integro-differential Equations
Қарағанды 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
An exact solution of linearized flow of an emitting, absorbing and scattering grey gas [PDF]
, 1971 The governing equations for the problem of linearized flow through a normal shock wave in an emitting, absorbing, and scattering grey gas are reduced to two linear coupled integro-differential equations.
Cheng, Ping, Leonard, A.
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Extension of linear operators with applications
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 The article presents a method for solving characteristic singular integral equations perturbed with compact operators. The method consists in reducing the solution of these equations to the solution of the systems of singular (unperturbed) equations ...
Vasile Neagu, Diana Bîclea
doaj +1 more source
Adaptive BEM with optimal convergence rates for the Helmholtz equation [PDF]
, 2018 We analyze an adaptive boundary element method for the weakly-singular and hypersingular integral equations for the 2D and 3D Helmholtz problem. The proposed adaptive algorithm is steered by a residual error estimator and does not rely on any a priori ...
Bespalov, Alex +3 more
core +3 more sources
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source