This work aims at a better comprehension of the features of the solution surface of a dynamical system presenting a numerical procedure based on transient trajectories. For a given set of initial conditions an analysis is made, similar to that of a return map, looking for the new configuration of this set in the first Poincaré sections. The mentioned set of I.C. will result in a curve that can ...

Novel approach in the design of 2−D extremely narrow bandstop FIR filters is presented. The completely analytical design method is based on the 1−D optimal bandstop FIR filters. The 1−D FIR optimal bandstop filters are based on Zolotarev polynomial. Closed form formulas for the design of the filters are presented. One example demonstrates the design procedure. One application of the 2−D narrow ...

Recently the concept of regression depth has been introduced [1]. The deepest regression (DR) is a method for linear regression which is defined as the fit with the best depth relative to the data. In this paper we explain the properties of the DR and give some applications of deepest regression in analytical chemistry which involve regression through the origin, polynomial regression, the Mich...

Abstract: This paper presents and compares the results obtained using several methods for Stochastic Computations, used in Uncertainty Quantification. We practically present the methods using a simple ODE model. The focus is on both intrusive and non-intrusive methods, namely the Monte Carlo method, along with methods based on generalized polynomial chaos(gPC) methodology. Moreover, we asses th...