Results 61 to 70 of about 4,240 (200)

Rigorous Polynomial Approximation Using Taylor Models in Coq [PDF]

open access: yes, 2012
One of the most common and practical ways of representing a real function on machines is by using a polynomial approximation. It is then important to properly handle the error introduced by such an approximation. The purpose of this work is to offer guaranteed error bounds for a specific kind of rigorous polynomial approximation called Taylor model. We
Brisebarre, Nicolas   +7 more
openaire   +2 more sources

Some expansions of functions based upon two sequences of hypergeometric polynomials

open access: yes, 2021
In this paper, we introduce two series expansions whose basis functions are two sequences of hypergeometric polynomials. We then  present a systematic and detailed study of the general properties of each of these series expansions.
Masjed-Jamei, Mohammad, Srivastava, H.M.
core  

The evaluation of the order of approximation of the matrix method for numerical integration of the boundary value problems for systems of linear non-homogeneous ordinary differential equations of the second order with variable coefficients. Message 2. Boundary value problems with boundary conditions of the second and third kind

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We present the second message of the cycle from two articles where the rearrangement of the order of approximation of the matrix method of numerical integration depending on the degree in the Taylor’s polynomial expansion of solutions of boundary value ...
Vladimir N Maklakov
doaj   +1 more source

Taylor polynomials

open access: yes, 2016
Approximation Methods,Calculus,College Mathematics,Numerical Analysis,Polynomials, SeriesThis plots a function and its truncated Taylor series. Use the sliders to change the number of terms in the series or the expansion pointComponente Curricular ...
Calkins, Harry
core  

A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term

open access: yes, 2008
WOS: 000256797400005A numerical method for solving the generalized ( retarded or advanced) pantograph equation with constant and variable coefficients under mixed conditions is presented. The method is based on the truncated Taylor polynomials.
Gülsu, Mustafa   +2 more
core   +1 more source

Computation of the Taut, the Veering and the Teichmüller polynomials [PDF]

open access: yes
Landry, Minsky and Taylor (LMT) introduced two polynomial invariants of veering triangulations—the taut polynomial and the veering polynomial. Here, we consider a pair of taut polynomials associated to one veering triangulation, the upper and the lower ...
Parlak, Anna
core   +1 more source

A Numerical Approach Based on Operational Matrix for Solving Fractional Delay Differential Equations

open access: yesپژوهش‌های ریاضی, 2020
Introduction Fractional calculus has been used to model physical and chemical processes that are found to be best described by fractional differential equations.
Parisa Rahimkhani, Yadollah Ordokhani
doaj  

Multi-load Optimal Design of Burner-inner-liner Under Performance Index Constraint by Second-Order Polynomial Taylor Series Method

open access: yesMATEC Web of Conferences, 2016
Using maximum expansion pressure of n-decane, the aeroengine burner-inner-liner combustion pressure load is computed. Aerodynamic loads are obtained from internal gas pressure load and gas momentum.
Tu Gaoqiao   +3 more
doaj   +1 more source

A Construction Of Primitive Polynomials Over Finite Fields

open access: yes, 2017
In this work, a new construction based on companion matrices of primitive polynomials is provided. Given two primitive polynomials over the finite fields (Formula presented.) and (Formula presented.), we construct a ring isomorphism that transforms the ...
Cardell S.D., Climent J.-J.
core   +1 more source

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