Abscissas for Chebyshev Quadrature

J. W. W.; Frank G. Lether

doi:10.2307/2003623

Abscissas for Chebyshev Quadrature

Mathematics of Computation ◽

10.2307/2003623 ◽

1966 ◽

Vol 20 (95) ◽

pp. 463

Author(s):

J. W. W. ◽

Frank G. Lether

Keyword(s):

Chebyshev Quadrature

Computation Of Dimensionless Pressure In A Vertical Well Using Gauss-Chebyshev Quadrature, Gauss-Kronrod Quadrature And Runge-Kutta Fourth Order

10.2118/178274-ms ◽

2015 ◽

Author(s):

O. J Oloro ◽

E. Okoh

Keyword(s):

Fourth Order ◽

Vertical Well ◽

Dimensionless Pressure ◽

Chebyshev Quadrature ◽

Runge Kutta

Advances in Chebyshev quadrature

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0080118 ◽

1976 ◽

pp. 100-121 ◽

Cited By ~ 17

Author(s):

Walter Gautschi

Keyword(s):

Chebyshev Quadrature

Characterization of algebraic curves by Chebyshev quadrature

Journal d Analyse Mathématique ◽

10.1007/bf02788701 ◽

1998 ◽

Vol 75 (1) ◽

pp. 233-246 ◽

Cited By ~ 1

Author(s):

J. Korevaar ◽

L. Bos

Keyword(s):

Algebraic Curves ◽

Chebyshev Quadrature

Remark on Algorithm 279: Chebyshev quadrature

Communications of the ACM ◽

10.1145/365696.365714 ◽

1966 ◽

Vol 9 (6) ◽

pp. 434

Author(s):

F. R. A. Hopgood ◽

C. Litherland

Keyword(s):

Chebyshev Quadrature

A numerical approach for a crack problem by Gauss–Chebyshev quadrature

Archive of Applied Mechanics ◽

10.1007/s00419-013-0760-7 ◽

2013 ◽

Vol 83 (11) ◽

pp. 1535-1547 ◽

Cited By ~ 2

Author(s):

Elçin Yusufoğlu ◽

İlkem Turhan

Keyword(s):

Crack Problem ◽

Numerical Approach ◽

Chebyshev Quadrature

On Weight Functions Admitting Chebyshev Quadrature

Mathematics of Computation ◽

10.2307/2008262 ◽

1987 ◽

Vol 49 (179) ◽

pp. 251 ◽

Cited By ~ 2

Author(s):

Klaus-Jurgen Forster

Keyword(s):

Weight Functions ◽

Chebyshev Quadrature

A Chebyshev Quadrature Rule for One Sided Finite Part Integrals

Journal of Approximation Theory ◽

10.1006/jath.2001.3572 ◽

2001 ◽

Vol 111 (2) ◽

pp. 196-219 ◽

Cited By ~ 3

Author(s):

Philsu Kim

Keyword(s):

Quadrature Rule ◽

Finite Part ◽

Chebyshev Quadrature

The second kind Chebyshev quadrature rules of semi-open type and its numerical improvement

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.138 ◽

2006 ◽

Vol 172 (1) ◽

pp. 210-221 ◽

Cited By ~ 2

Author(s):

M. Masjed-Jamei ◽

S.M. Hashemiparast ◽

M.R. Eslahchi ◽

Mehdi Dehghan

Keyword(s):

Quadrature Rules ◽

Open Type ◽

Chebyshev Quadrature

On Chebyshev quadrature for ultraspherical weight functions

CALCOLO ◽

10.1007/bf02576117 ◽

1986 ◽

Vol 23 (4) ◽

pp. 355-381 ◽

Cited By ~ 4

Author(s):

K. -J. Förster

Keyword(s):

Weight Functions ◽

Chebyshev Quadrature ◽

Ultraspherical Weight Functions

Existence, Uniqueness, and Approximation for Solutions of a Functional-integral Equation in Lp Spaces

TEMA (São Carlos) ◽

10.5540/tema.2019.020.03.403 ◽

2019 ◽

Vol 20 (3) ◽

pp. 403

Author(s):

Suzete M Afonso ◽

Juarez S Azevedo ◽

Mariana P. G. Da Silva ◽

Adson M Rocha

Keyword(s):

Integral Equation ◽

Fixed Point ◽

Fixed Point Theorem ◽

Existence And Uniqueness ◽

Functional Integral ◽

Successive Approximation Method ◽

Banach Fixed Point Theorem ◽

Numerical Examples ◽

Lp Spaces ◽

Chebyshev Quadrature

In this work we consider the general functional-integral equation: \begin{equation*}y(t) = f\left(t, \int_{a}^{b} k(t,s)g(s,y(s))ds\right), \qquad t\in [a,b],\end{equation*}and give conditions that guarantee existence and uniqueness of solution in $L^p([a,b])$, with {$1<p<\infty$}.We use Banach Fixed Point Theorem and employ the successive approximation method and Chebyshev quadrature for approximating the values of integrals. Finally, to illustrate the results of this work, we provide some numerical examples.