Search results for "Taylor"

Holomorphic Functions on Polydiscs

2019

This is a short introduction to the theory of holomorphic functions in finitely and infinitely many variables. We begin with functions in finitely many variables, giving the definition of holomorphic function. Every such function has a monomial series expansion, where the coefficients are given by a Cauchy integral formula. Then we move to infinitely many variables, considering functions defined on B_{c0}, the open unit ball of the space of null sequences. Holomorphic functions are defined by means of Frechet differentiability. We have versions of Weierstrass and Montel theorems in this setting. Every holomorphic function on B_{c0} defines a family of coefficients through a Cauchy integral …

Le nouvel ordre des violences carcérales

2022

National audience

An order-adaptive compact approximation Taylor method for systems of conservation laws

2021

Abstract We present a new family of high-order shock-capturing finite difference numerical methods for systems of conservation laws. These methods, called Adaptive Compact Approximation Taylor (ACAT) schemes, use centered ( 2 p + 1 ) -point stencils, where p may take values in { 1 , 2 , … , P } according to a new family of smoothness indicators in the stencils. The methods are based on a combination of a robust first order scheme and the Compact Approximate Taylor (CAT) methods of order 2p-order, p = 1 , 2 , … , P so that they are first order accurate near discontinuities and have order 2p in smooth regions, where ( 2 p + 1 ) is the size of the biggest stencil in which large gradients are n…

ON THE PERFORMANC E OF A TAYLOR-COUETTE REACTOR FOR NANO-PARTICLE PRECIPITATION

2009

Rateless Codes Performance Analysis in Correlated Channel Model for GEO Free Space Optics Downlinks

2012

MR3136896 Reviewed Ray, S.; Garai, A. The Laplace derivative II. Math. Student 81 (2012), no. 1-4, 177–184. (Reviewer: Pasquale Vetro) 26A24

2014

In a previous paper [Part I, Math. Student 81 (2012), no. 1-4, 171–175; MR3136895], the authors studied some properties of the first-order Laplace derivative. In this paper they study some properties of higher-order Laplace derivatives and give an analogue of Taylor's theorem using higher-order Laplace derivatives.

Numerical insights of an improved SPH method

2018

In this paper we discuss on the enhancements in accuracy and computational demanding in approximating a function and its derivatives via Smoothed Particle Hydrodynamics. The standard method is widely used nowadays in various physics and engineering applications [1],[2],[3]. However it suffers of low approximation accuracy at boundaries or when scattered data distributions is considered. Here we reformulate the original method by means of the Taylor series expansion and by employing the kernel function and its derivatives as projection functions and integrating over the problem domain [3]. In this way, accurate estimates of the function and its derivatives are simultaneously provided and no …

The Taylor Rule and the Practice of Central Banking

2010

The Taylor rule has revolutionized the way many policymakers at central banks think about monetary policy. It has framed policy actions as a systematic response to incoming information about economic conditions, as opposed to a period-by-period optimization problem. It has emphasized the importance of adjusting policy rates more than one-for-one in response to an increase in inflation. And, various versions of the Taylor rule have been incorporated into macroeconomic models that are used at central banks to understand and forecast the economy. This paper examines how the Taylor rule is used as an input in monetary policy deliberations and decision-making at central banks. The paper characte…

Oltre il consumo

2015

L'articolo ripercorre l'epoca del mondo della produzione e del consumo di massa, rivalutandone aspetti positivi e negativi alla luce delle evoluzioni successive del capitalismo postindustriale.

A method to transform a nonlocal model into a gradient one within elasticity and plasticity

2014

Abstract A method based on the principle of the virtual power (PVP) is presented, by which a mechanical problem of nonlocal elasticity, or plasticity, is transformed into one of gradient nature. Different Taylor series expansion techniques are applied to the driving local strain fields of the nonlocal problem, either full spatial expansion within the bulk volume, or uni-directional expansion along the normal to the thin boundary layer. This, at the limit when the boundary layer thickness tends to zero, makes the PVP of the nonlocal model transform itself into one featuring a counterpart gradient model. Also, for a class of “associated” nonlocal and gradient elasticity models (i.e. the kerne…