Results 111 to 120 of about 16,329 (217)

Bounds for the number of nodes in Chebyshev type quadrature formulas

Journal of Approximation Theory, 1991
The authors determine an upper bound for the minimum number of nodes of Chebyshev type quadrature formulas on a finite interval needed in order to achieve a certain degree of precision, using a topological method. The corresponding problem on the \(d\)-dimensional sphere is studied also.
Rabau, Patrick, Bajnok, Bela
openaire   +2 more sources

Internality of Two-Measure-Based Generalized Gauss Quadrature Rules for Modified Chebyshev Measures II

Mathematics
Gaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić, Rada M. Mutavdžić Djukić, Aleksandar V. Pejčev, Lothar Reichel, Miodrag M. Spalević, Stefan M. Spalević   +5 more
doaj   +1 more source

Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method

Abstract and Applied Analysis, 2013
The shifted Jacobi-Gauss-Lobatto pseudospectral (SJGLP) method is applied to neutral functional-differential equations (NFDEs) with proportional delays.
A. H. Bhrawy, M. A. Alghamdi, D. Baleanu
doaj   +1 more source

Error bounds of a quadrature formula with multiple nodes for the\n Fourier-Chebyshev coefficients for analytic functions [PDF]

, 2018
Aleksandar V. Pejčev, Miodrag M. Spalević   +1 more
openalex   +2 more sources

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

Известия Иркутского государственного университета: Серия "Математика"
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
doaj   +1 more source

On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations

, 2015
We describe a method for calculating the roots of special functions satisfying second order linear ordinary differential equations. It exploits the recent observation that the solutions of a large class of such equations can be represented via ...
Bremer, James
core  

Enabling Space-Air integration: A Satellite-UAV networking authentication scheme

Security and Safety
One of the goals of sixth-generation mobile networks (6G) is to achieve a larger network coverage area. Satellite networks enable global coverage and aerial nodes such as Unmanned Aerial Vehicle (UAV) can serve as a supplement to ground networks in ...
Li Sheng, Cao Jin, Shi Xiaoping, Li Hui
doaj   +1 more source

Robot path planning based on obstacle avoidance optimization and improved ant colony algorithm

Xi'an Gongcheng Daxue xuebao
Aimed at the problems of slow convergence speed and redundant planning paths in the processing of path planning by ant colony algorithm, an improved ant colony algorithm based on obstacle avoidance information and fast optimization search strategy was ...
HE Xingshi, CHEN Huiyuan
doaj   +1 more source

On the syzygies and Alexander polynomials of nodal hypersurfaces

, 2011
We give sharp lower bounds for the degree of the syzygies involving the partial derivatives of a homogeneous polynomial defining a nodal hypersurface. The result gives information on the position of the singularities of a nodal hypersurface expressed in ...
Dimca, Alexandru, Sticlaru, Gabriel
core  

A note on polynomial interpolation at the Chebyshev extrema nodes

Journal of Approximation Theory, 1984
Some new properties of the Lebesgue function associated with interpolation at the Chebyshev extrema nodes are established. By estimating the degree of asymmetry of the Lebesgue function in the interval of interest, the estimate of Ehlich and Zeller for the norm of the corresponding interpolation operator is improved.
openaire   +2 more sources