Trevisan [SIAM J. Comput., 41 (2012), pp. 1769-1786] presented an algorithm for Max-Cut based on spectral partitioning techniques. This is the first algorithm for Max-Cut with an approximation guarantee strictly larger ...

The aim of this work is to derive rate of convergence estimates for the spectral approximation of a mathematical model which describes the vibrations of a solid-fluid type structure. First, we summarize the main ...

We consider the 3D Schrodinger operator H = H-0 + V where H-0 = (-i del - A)(2) - b, A is a magnetic potential generating a constant magneticfield of strength b > 0, and V is a short-range electric potential which decays ...

We employ the spectral element method with Gauss-Lobatto-Legendre collocation points to approximate nonlinear integral equations of Hammerstein type. Using the Banach Fixed Point Theorem, we establish sufficient conditions ...

In this work a new method is proposed of separated estimation for the ARMA spectral model based on the modified Yule-Walker equations and on the least squares method. The proposal of the new method consists of performing ...