Results 31 to 40 of about 36,781 (141)
Singularly perturbed Volterra integral equations with weakly singular kernels
International Journal of Mathematics and Mathematical Sciences, 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay ...
Angelina Bijura
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Mathematical Modelling and Analysis, 2020 In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-differential equations (VO-TF-PIDEs) with the weakly singular kernel.
Haniye Dehestani +2 more
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, 2018 We compare finite rank perturbations of the following three ensembles of complex rectangular random matrices: First, a generalised Wishart ensemble with one random and two fixed correlation matrices introduced by Borodin and P\'ech\'e, second, the ...
Akemann, Gernot +3 more
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Domains with a continuous exhaustion in weakly complete surfaces [PDF]
, 2019 In previous works, G. Tomassini and the authors studied and classified complex surfaces admitting a real-analytic pluri-subharmonic exhaustion function; let $X$ be such a surface and $D\subseteq X$ a domain admitting a \emph{continuous} plurisubharmonic ...
Mongodi, Samuele, Slodkowski, Zbigniew
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Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
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Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]
Mathematics and Computational SciencesThe presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
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Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay
Mathematics, 2021 This paper proposes an extrapolation method to solve a class of non-linear weakly singular kernel Volterra integral equations with vanishing delay. After the existence and uniqueness of the solution to the original equation are proved, we combine an ...
Li Zhang, Jin Huang, Hu Li, Yifei Wang
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Equidistribution results for singular metrics on line bundles [PDF]
, 2011 Let L be a holomorphic line bundle with a positively curved singular Hermitian metric over a complex manifold X. One can define naturally the sequence of Fubini-Study currents associated to the space of square integrable holomorphic sections of the p-th ...
Coman, Dan, Marinescu, George
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Planewave density interpolation methods for 3D Helmholtz boundary integral equations
, 2019 This paper introduces planewave density interpolation methods for the regularization of weakly singular, strongly singular, hypersingular and nearly singular integral kernels present in 3D Helmholtz surface layer potentials and associated integral ...
Faria, Luiz +2 more
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Volume and surface integral equations for electromagnetic scattering by a dielectric body
, 2010 13 pagesInternational audienceWe derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is
Costabel, Martin +2 more
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