Search results for "orthogonal polynomial"

A glance at orthogonal polynomials

Project topics and materials - 23 octobre 2021 0
Get Complete Project Material File(s) Now! » Summary and future perspectives Semiclassical orthogonal polynomials, in particular generalized Freud polynomials, have been the main focus of this thesis. Generalized Freud polynomials are orthogonal with respect to the so-called generalized Freud inner...

Interlacing of zeros of Jacobi polynomials from sequences corresponding to different parameters

Project topics and materials - 22 novembre 2019 0
Get Complete Project Material File(s) Now! » Orthogonal polynomials and their properties Orthogonal polynomials were used by R. Murphy (cf. [40]) in 1835 although he referred to them as ”reciprocal functions”. P.L. Chebyshev (cf. [16]) recognized the importance of orthogonal...

Statistical inverse identication of the multilevel stochastic reduced- order model: application to an automobile 

Project Topics - 16 août 2022 0
Get Complete Project Material File(s) Now! » Reduced kinematics for the kinetic energy In order to lter local displacements, a reduced kinematics is introduced for the mass matrix. This reduced kinematics is intended to be such that the local displacements...

Construction of xed-sized point processes from exchangeable variables 

Project topics and materials - 22 février 2022 0
Get Complete Project Material File(s) Now! » Stability properties of finite DPPs In this section, the ground space X is assumed to be nite. We focus on proving some of the stability properties of DPPs under di erent set operations...

Positive intersection points of a trinomial and a t-nomial curves 

Project Topics - 16 décembre 2022 0
Get Complete Project Material File(s) Now! » A brief introduction to real dessins d’enfant For more details, see [Ore03, Bru06, Bih07] for example. Consider a real rational map ϕ = QP : C → C, where P and Q are...

Classification of computational assumptions in the algebraic group model 

Project topics and materials - 17 octobre 2022 0
Get Complete Project Material File(s) Now! » The Algebraic Group Model A central paradigm for assessing the security of a cryptographic scheme or hardness assumption is to analyze it within an idealized model of computation. A line of work initiated...

Secondary instabilities in Taylor Couette flow of shear-thinning fluids 

Project Topics - 25 août 2022 0
Get Complete Project Material File(s) Now! » Brief Review on Taylor-Couette flow of shear-thinning fluids Circular Couette flow of a shear-thinning fluid is mainly characterized by a viscosity stratification in the annular space, which is more significant as the shear-thinning...

Automated force volume image processing for biological samples 

Project Topics - 22 août 2022 0
Get Complete Project Material File(s) Now! » Bayesian formulation of sparse signal restoration The Bayesian formulation of the inverse problem y = Ax+n consists in inferring the distribution of x = (q; r) knowing y. The MAP estimator of x...

Uncertainty analysis for seawater intrusion in fractured coastal aquifers: Effects of fracture location, aperture, density and hydrodynamic parameters

Project Topics - 9 août 2022 0
Get Complete Project Material File(s) Now! » Seawater Intrusion in coastal aquifers The population density of coastal regions around the world is nearly three times the average global population density (Small and Nicholls, 2003). The inhabitants of coastal regions rely...

Findings on the Numerical Mesh-Scheme Pairs in 2D 

Project Topics - 5 août 2022 0
Get Complete Project Material File(s) Now! » Methods for the numerical resolution of the advection equation In its general form, the advection equation does not have a straightforward analytical solution. Even though analytical solutions may be obtained for some particular...