Stirling numbers of the first kind

Polynomiality of Hurwitz numbers, Bouchard-Marino conjecture, and a new proof of the ELSV formula

In this paper we give a new proof of the ELSV formula. First, we refine an argument of Okounkov and Pandharipande in order to prove (quasi-)polynomiality of Hurwitz numbers without using the ELSV formula (the only way to do that before used the ELSV formul ...

Academic Press Inc Elsevier Science2015

Snakes With an Ellipse-Reproducing Property

Michaël Unser, Philippe Thévenaz, Ricard Delgado Gonzalo, Chandra Sekhar Seelamantula

We present a new class of continuously defined parametric snakes using a special kind of exponential splines as basis functions. We have enforced our bases to have the shortest possible support subject to some design constraints to maximize efficiency. Whi ...

IEEE2012

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