Results 91 to 100 of about 80,472 (232)

Lines on the surface in the quasi-hiperbolic space 11^S1/3

Дифференциальная геометрия многообразий фигур, 2020
Quasi-hyperbolic spaces are projective spaces with decaying abso­lute. This work is a continuation of the author's work [7], in which surfac­es in one of these spaces are examined by methods of external forms and a moving frame.
V.B. Tsyrenova
doaj   +1 more source

Spectral method for matching exterior and interior elliptic problems

, 2007
A spectral method is described for solving coupled elliptic problems on an interior and an exterior domain. The method is formulated and tested on the two-dimensional interior Poisson and exterior Laplace problems, whose solutions and their normal ...
Amini, Ansorg, Ansorg, Atkinson, Banerjee, Bourgoin, Brebbia, Canuto, Driscoll, Dudley, Forest, Gailitis, Ganesh, Gerdes, Glatzmaier, Grandclement, Guermond, Hollerbach, Hsiao, Hwang, Iskakov, Iskakov, Ivanov, Jaswon, Jepps, Lai, Levesley, Lin, Mason, Matsui, Meddahi, Orszag, Piotr Boronski, Polyanin, Pozrikidis, Press, Roberts, Rokhlin, Shew, Steglitz, Tilgner, Trefethen, Tuckerman, Willis, Xu   +44 more
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Symmetrized Chebyshev polynomials [PDF]

Proceedings of the American Mathematical Society, 2004
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that
openaire   +2 more sources

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]

Journal of Mahani Mathematical Research
In this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our  consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest ...
H. Mazaheri, A.W. Safi, S.M. Jesmani
doaj   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

Deep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

GENERATING FUNCTIONS OF THE PRODUCT OF 2-ORTHOGONAL CHEBYSHEV POLYNOMIALS WITH SOME NUMBERS AND THE OTHER CHEBYSHEV POLYNOMIALS

Проблемы анализа, 2020
In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
doaj   +1 more source

q-Chebyshev polynomials [PDF]

, 2012
In this overview paper a direct approach to q-Chebyshev polynomials and their elementary properties is given. Special emphasis is placed on analogies with the classical case.
Johann Cigler, Johann Cigler, See Profile   +2 more
core  

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Generalized Chebyshev polynomials

Discussiones Mathematicae - General Algebra and Applications, 2018
Summary: Let \(h(x)\) be a non constant polynomial with rational coefficients. Our aim is to introduce the \(h(x)\)-Chebyshev polynomials of the first and second kind \(T_n\) and \(U_n\). We show that they are in a \(\mathbb{Q}\)-vectorial subspace \(E_n(x)\) of \(\mathbb{Q}[x]\) of dimension \(n\). We establish that the polynomial sequences \((h^kT_{n-
Abchiche Mourad, Belbachir Hacéne
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