Results 11 to 20 of about 1,508,171 (301)

Advances in the Approximation of the Matrix Hyperbolic Tangent

open access: yesMathematics, 2021
In this paper, we introduce two approaches to compute the matrix hyperbolic tangent. While one of them is based on its own definition and uses the matrix exponential, the other one is focused on the expansion of its Taylor series.
Javier Ibáñez   +4 more
doaj   +1 more source

Approximate solution of linear integral equations by Taylor ordering method: Applied mathematical approach

open access: yesOpen Physics, 2022
Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha   +8 more
doaj   +1 more source

Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces

open access: yesAxioms, 2020
In this paper we investigate analytic functions of unbounded type on a complex infinite dimensional Banach space X. The main question is: under which conditions is there an analytic function of unbounded type on X such that its Taylor polynomials are in ...
Andriy Zagorodnyuk, Anna Hihliuk
doaj   +1 more source

Convergence of the matrix method of numerical integration of the boundary value problems for linear nonhomogeneous ordinary differential second order equations with variable coefficients

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
The problems of stability and convergence of previously proposed matrix method of numerical integration of boundary value problems with boundary conditions of the first, second and third kinds of nonhomogeneous linear ordinary differential second order ...
Vladimir N Maklakov
doaj   +1 more source

Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]

open access: yes, 2009
This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core   +1 more source

Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]

open access: yes, 2003
19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
López Lagomasino, Guillermo   +2 more
core   +1 more source

Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients

open access: yesAin Shams Engineering Journal, 2013
A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
doaj   +1 more source

Taylor: A Magazine for Taylor University Alumni, Parents, and Friends [PDF]

open access: yes, 2023
The Winter 2023 edition of Taylor Magazine, published by Taylor University in Upland, Indiana.https://pillars.taylor.edu/tu_magazines/1199/thumbnail ...
Taylor University
core  

Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
A Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials.
Mehmet Sezer, Mustafa Gülsu
doaj   +1 more source

Polynomial extensions of the Milliken-Taylor Theorem [PDF]

open access: yesTransactions of the American Mathematical Society, 2014
Summary: \textit{Milliken-Taylor systems} are some of the most general infinitary configurations that are known to be partition regular. These are sets of the form \(\mathrm{MT}(\langle a_i\rangle _{i=1}^m,\langle x_n\rangle _{n=1}^\infty )= \{\sum _{i=1}^m a_i\sum _{t\in F_i}\,x_t:F_1,F_2,\ldots , F_m\) are increasing finite nonempty subsets of ...
Bergelson, Vitaly   +2 more
openaire   +1 more source

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