Results 1 to 10 of about 24,811,169 (263)

Solution for the System of Lane–Emden Type Equations Using Chebyshev Polynomials

Mathematics, 2018
In this paper, we use the collocation method together with Chebyshev polynomials to solve system of Lane–Emden type (SLE) equations. We first transform the given SLE equation to a matrix equation by means of a truncated Chebyshev series with ...
Yalçın ÖZTÜRK
doaj   +2 more sources

Algorithm 414: Chebyshev approximation of continuous functions by a Chebyshev system of functions

Communications of the ACM, 1971
The second algorithm of Remez can be used to compute the minimax approximation to a function, ƒ( x ), by a linear combination of functions, { Q i ( x )} n 0 ...
G. H. Golub, L. B. Smith
openaire   +2 more sources

Chebyshev Polynomials on a System of Continua [PDF]

Constructive Approximation, 2015
The estimates of the uniform norm of the Chebyshev polynomial associated with a compact set $K$ consisting of a finite number of continua in the complex plane are established. These estimates are exact (up to a constant factor) in the case where the components of $K$ are either quasismooth (in the sense of Lavrentiev) arcs or closed Jordan domains ...
V. Andrievskii
openaire   +4 more sources

Chebyshev polynomials on a system of curves [PDF]

Journal d'Analyse Mathématique, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Totik
openaire   +3 more sources

On convexity properties with respect to a Chebyshev system [PDF]

Journal of Mathematical Analysis and Applications, 2023
The main purpose of this paper is to introduce various convexity concepts in terms of a positive Chebyshev system $\omega$ and give a systematic investigation of the relations among them.
Zsolt P'ales, M. K. Shihab
semanticscholar   +1 more source

Chebyshev-Vandermonde Systems [PDF]

Mathematics of Computation, 1991
A Chebyshev-Vandermonde matrix \[ V = [ p j ( z k ) ] j , k = 0 n ∈
Reichel, Lothar, Opfer, Gerhard
openaire   +1 more source

Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

Journal of New Theory, 2023
In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
doaj   +1 more source

Bernstein operators for extended Chebyshev systems [PDF]

Applied Mathematics and Computation, 2010
17 ...
Aldaz, J. M., Kounchev, O., Render, H.
openaire   +2 more sources

Improved Accuracy for Trotter Simulations Using Chebyshev Interpolation [PDF]

Quantum, 2022
Quantum metrology allows for measuring properties of a quantum system at the optimal Heisenberg limit. However, when the relevant quantum states are prepared using digital Hamiltonian simulation, the accrued algorithmic errors will cause deviations from ...
Gumaro Rendon, Jacob Watkins, N. Wiebe
semanticscholar   +1 more source

Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation

Partial Differential Equations in Applied Mathematics, 2023
In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation.
Adnan K. Farhood, Osama H. Mohammed
doaj   +1 more source