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Integral equation

Eddy-current testing modeling of axisymmetric pieces with discontinuities along the axis by means of an integral equation approach

Eddy-current testing modeling of axisymmetric pieces with discontinuities along the axis by means of an integral equation approach

... 4 Chapter 1. Introduction both applications has been demonstrated by a number of recent contributions as sketched below. As far as the fastener holes are concerned, studies have been carried out during the past years ...

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Solution of Abel's integral equation using Tikhonov regularization

Solution of Abel's integral equation using Tikhonov regularization

... Abel’s integral equation arises in many areas of science and engineering, notably in combustion problems in which the radial distribution of a quantity in an axisymmetric flame is inferred from ...

9

An Integral Equation Formulation of the $N$-Body Dielectric Spheres Problem. Part II: Complexity Analysis

An Integral Equation Formulation of the $N$-Body Dielectric Spheres Problem. Part II: Complexity Analysis

... 5. Conclusion and Outlook This article is the second in a series of two papers in which we present a detailed analysis of a boundary integral equation (BIE) of the second kind that describes the interaction ...

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A Hybrid Integral Equation Approach to Solve the Anisotropic Forward Problem in Electroencephalography

A Hybrid Integral Equation Approach to Solve the Anisotropic Forward Problem in Electroencephalography

... equations for the inhomogeneous and anisotropic forward problem in electroencephalography,” Journal of Computational Physics, vol. 348, pp. 732–743, 2017. [4] G. Kobidze and B. Shanker, “Integral equation ...

3

Boundary element analysis of an integral equation for three-dmensional crack problems

Boundary element analysis of an integral equation for three-dmensional crack problems

... In Reference 16, stress intensity factors are computed by means of the boundary integral equation method for semi-elliptical cracks in cylindrical bars of diameter e[r] ...

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Integral equation solutions as prior distributions for Bayesian model selection

Integral equation solutions as prior distributions for Bayesian model selection

... Key words: Bayes factor, model selection, integral equations, intrinsic priors, expected posterior priors. 1 Introduction The use of subjective prior distributions has largely been a major critic to Bayesian ...

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The application of a least square procedure to the solution of a homogeneous linear integral equation problem by polynomial approximation

The application of a least square procedure to the solution of a homogeneous linear integral equation problem by polynomial approximation

... Use of the least square procedure, on the other hand, substitutes an additional approximate integration for this machine error, but, if this integration is reasonably successf[r] ...

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Second Kind Boundary Integral Equation for Multi-Subdomain Diffusion Problems

Second Kind Boundary Integral Equation for Multi-Subdomain Diffusion Problems

... We compare the single-trace second kind Formulation 31 with the so-called direct single-trace first kind approach, described in detail in [9, Section 3], and its Galerkin boundary elemen[r] ...

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Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation

Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation

... underlying integral equation is a first-kind Fredholm equation but also to the physics through the coupling of non-local modes [6, 22, ...Brakhage-Werner integral formulations [9, 26, 37] and ...

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Schwarz methods and boundary integral equations

Schwarz methods and boundary integral equations

... boundary integral equations Abstract The objective of this thesis is to use domain decomposition methods to develop new efficient methods for high performance computing and boundary integral ...boundary ...

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Martingale structure of Skorohod integral processes

Martingale structure of Skorohod integral processes

... Wiener integral expansion of Skorohod integral ...Skorohod integral processes, whose elements can be represented as time-reversed Brownian martingales, and we state sufficient conditions to have that ...

20

A class of generalized integral operators.

A class of generalized integral operators.

... ρ,1 (R n × R n ). We describe in this sec - tion the results of Aiboudi - Messirdi - Senoussaoui [ 1 ] , they constructed a class of unbounded Fourier integral operators with a separated variables phase function ...

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Hecke operators in half-integral weight

Hecke operators in half-integral weight

... de Bordeaux 26 (2014), 233–251 Hecke operators in half-integral weight par Soma PURKAIT Résumé. Dans [6], Shimura a introduit la notion de formes mo- dulaires de poids demi-entier et leurs algèbres de Hecke ; il ...

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Integral equations for three-dimensional problems

Integral equations for three-dimensional problems

... Let us consider a crack lying in the plane P (Fig.. a) In the case when the crack is embedded in the body, the line integral vanishes, the surface integral taken on S on[r] ...

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Euler Sums and Contour Integral Representations

Euler Sums and Contour Integral Representations

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

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(DI-03) Gestión Integral de Riesgos en la Agricultura

(DI-03) Gestión Integral de Riesgos en la Agricultura

... gestión integral de riesgos en la agricultura” (PI-RGIRA), se elaboraron manuales y documentos de orientación estratégica en GIR de aplicación hemisférica para desarrollar capacidades institucionales en la gestión ...

6

Structural integral monitoring by vibration measurements

Structural integral monitoring by vibration measurements

... reacts mainly along the directions of the principal components associated with the highest energies. This provides an efficient numerical method. Damage detection is carried out on bas[r] ...

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$S$-integral solutions to a Weierstrass equation

$S$-integral solutions to a Weierstrass equation

... permet d’obtenir des équations aux (S-) unités à quatre termes dotées de propriétés spéciales, que l’on résout par la théorie des formes linéaires en logarithmes réels et p-adiques. ABSTRACT. The rational solutions with ...

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Integral canonical models of Shimura varieties

Integral canonical models of Shimura varieties

... 301-312 Integral canonical models of Shimura varieties par Mark KISIN ...of integral canonical models of Shimura varieties, and then to sketch a proof of the existence of such models for Shimura varieties ...

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Existence results for integral viscoelastic fluids

Existence results for integral viscoelastic fluids

... in [37], M. Renardy proves an existence and uniqueness result for a K-BKZ fluid using Kato’s theory of quasilinear hyperbolic equations. Its elegant ap- proach differs substantially from the approach used here, and does ...

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