A Note on the Estimation of the Coefficients in the Chebyshev Series Expansion of a Function Having a Logarithmic Singularity

M. M. Chawla

doi:10.1093/comjnl/9.4.413

A Note on the Estimation of the Coefficients in the Chebyshev Series Expansion of a Function Having a Logarithmic Singularity

The Computer Journal ◽

10.1093/comjnl/9.4.413 ◽

1967 ◽

Vol 9 (4) ◽

pp. 413-419 ◽

Cited By ~ 3

Author(s):

M. M. Chawla

Keyword(s):

Series Expansion ◽

Logarithmic Singularity ◽

Chebyshev Series ◽

Chebyshev Series Expansion

Download Full-text

Direct discretization of the fractional-order differential by using Chebyshev series expansion

PAMM ◽

10.1002/pamm.200700071 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2020011-2020012 ◽

Cited By ~ 1

Author(s):

Tsuyako Miyakoda

Keyword(s):

Series Expansion ◽

Fractional Order ◽

Chebyshev Series ◽

Chebyshev Series Expansion

Download Full-text

Indefinite integration of oscillatory functions by the Chebyshev series expansion

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(87)90035-5 ◽

1987 ◽

Vol 17 (1-2) ◽

pp. 21-29 ◽

Cited By ~ 18

Author(s):

Takemitsu Hasegawa ◽

Tatsuo Torii

Keyword(s):

Series Expansion ◽

Chebyshev Series ◽

Chebyshev Series Expansion

Download Full-text

The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function

Mathematics of Computation ◽

10.1090/s0025-5718-1964-0166903-7 ◽

1964 ◽

Vol 18 (86) ◽

pp. 274-274 ◽

Cited By ~ 58

Author(s):

David Elliott

Keyword(s):

Series Expansion ◽

Chebyshev Series ◽

Chebyshev Series Expansion

Download Full-text

Some estimates of the coefficients in the Chebyshev series expansion of a function

Mathematics of Computation ◽

10.1090/s0025-5718-1965-0172447-x ◽

1965 ◽

Vol 19 (89) ◽

pp. 25-25 ◽

Cited By ~ 14

Author(s):

David Elliott ◽

George Szekeres

Keyword(s):

Series Expansion ◽

Chebyshev Series ◽

Chebyshev Series Expansion

Download Full-text

A unified approach to the Tau Method and Chebyshev series expansion techniques

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90145-l ◽

1993 ◽

Vol 25 (3) ◽

pp. 73-82 ◽

Cited By ~ 14

Author(s):

M.K. El-Daou ◽

E.L. Ortiz ◽

H. Samara

Keyword(s):

Series Expansion ◽

Tau Method ◽

Chebyshev Series ◽

Unified Approach ◽

Chebyshev Series Expansion

Download Full-text

Solutions for Conservative Nonlinear Oscillators Using an Approximate Method Based on Chebyshev Series Expansion of the Restoring Force

Acta Physica Polonica A ◽

10.12693/aphyspola.130.667 ◽

2016 ◽

Vol 130 (3) ◽

pp. 667-678 ◽

Cited By ~ 5

Author(s):

A. Beléndez ◽

A. Hernández ◽

T. Beléndez ◽

C. Pascual ◽

M.L. Alvarez ◽

...

Keyword(s):

Approximate Method ◽

Series Expansion ◽

Nonlinear Oscillators ◽

Chebyshev Series ◽

Restoring Force ◽

Chebyshev Series Expansion

Download Full-text

Chebyshev series expansion of inverse polynomials

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.10.013 ◽

2006 ◽

Vol 196 (2) ◽

pp. 596-607 ◽

Cited By ~ 9

Author(s):

Richard J. Mathar

Keyword(s):

Series Expansion ◽

Chebyshev Series ◽

Chebyshev Series Expansion

Download Full-text

Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function

Mathematics of Computation ◽

10.1090/s0025-5718-98-00976-4 ◽

1998 ◽

Vol 67 (224) ◽

pp. 1601-1617 ◽

Cited By ~ 2

Author(s):

Natasha Flyer

Keyword(s):

Series Expansion ◽

Upper Bounds ◽

Chebyshev Series ◽

General Order ◽

Chebyshev Series Expansion

Download Full-text

Evaluation of higher‐order semiclassical phase integrals: Application of Chebyshev series approximation and Taylor series expansion

The Journal of Chemical Physics ◽

10.1063/1.443950 ◽

1982 ◽

Vol 77 (3) ◽

pp. 1505-1511 ◽

Cited By ~ 12

Author(s):

Jussi Luppi ◽

Petri Pajunen

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Higher Order ◽

Chebyshev Series ◽

Series Approximation

Download Full-text

Series Expansion Methods for Strongly Interacting Lattice Models

10.1017/cbo9780511584398 ◽

2006 ◽

Cited By ~ 160

Author(s):

Jaan Oitmaa ◽

Chris Hamer ◽

Weihong Zheng

Keyword(s):

Series Expansion ◽

Lattice Models ◽

Strongly Interacting

Download Full-text