Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Méthodes de calcul d'intégrales de contour

Publications associées (29)

On equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to the Riemann hypothesis

Serguei Sekatski

By using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytic function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to ...

Springer US2012

Numerical integration of Sommerfeld integrals based on singularity extraction techniques and double exponential-type quadrature formulas

Juan Ramon Mosig, Athanasios Polymeridis, Ruzica Golubovic

A direct integration algorithm for the evaluation of Sommerfeld integrals is presented. This algorithm does not require the deformation of the integration path to avoid spectral singularities. The integration is performed along the real axis only. The algo ...

2012

Efficient machine precision computation of impedance matrix elements in surface integral equation formulations

Juan Ramon Mosig, Athanasios Polymeridis

The direct evaluation program tailored to the singular integrals arising in the first-kind and second-kind Fredholm surface integral equation formulations is presented. The exponential convergence of the proposed technique can safely guarantee the inherite ...

2011

On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

Juan Ramon Mosig, Athanasios Polymeridis

The direct evaluation method tailored to the 4-D singular integrals over vertex adjacent triangles, arising in the first-kind and second-kind Fredholm surface integral equation formulations, is presented. A combination of singularity cancellation, reorderi ...

Institute of Electrical and Electronics Engineers2011

Robust semi-analytical integration of singular impedance matrix elements in surface integral equation solvers

Juan Ramon Mosig, Athanasios Polymeridis

The direct evaluation method tailored to the 4-D singular integrals arising in the second-kind Fredholm surface integral equation formulations is presented. The proposed semi-analytical integration scheme extends the existing singularity cancellation metho ...

2011

Fill-ins number reducing direct solver designed for FIT-type matrix

Michal Karol Dobrzynski, Jagoda Anna Dobrzynska

This paper investigates the particular problem of matrices appearing during the modeling of Integrated Circuits with Finite Integration Technique (FIT) method. We present the key points of FIT approach followed by an illustration of the structure and the p ...

Elsevier2010

Evaluating the singular integrals arising in MPIE formulations with a double-exponential algorithm

Juan Ramon Mosig, Athanasios Polymeridis

Novel generalized Cartesian product rules for the computation of weakly singular integrals, arising in the mixed potential integral equation formulations are presented in this paper. The key feature of the proposed integration schemes lies in the incorpora ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Space/time-frequency processing of acoustic wave fields: theory, algorithms, and applications

Martin Vetterli, Francisco Pereira Correia Pinto

Consider a nonparametric representation of acoustic wave fields that consists of observing the sound pressure along a straight line or a smooth contour L defined in space. The observed data contains implicit information of the surrounding acoustic scene, b ...

Institute of Electrical and Electronics Engineers2010

Off-axis low coherence interferometry contouring

Christian Depeursinge, Nicolas Pavillon, Florian Lang

In this article we present a method to achieve tri-dimensional contouring of macroscopic objects. A modified reference wave speckle interferometer is used in conjunction with a source of reduced coherence. The depth signal is given by the envelope of the i ...

2009