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A new summation method for power series with rational coefficients
Author(s):
Silvia
Dassié;
Marco
Vianello;
Renato
Zanovello.
Journal:
Math. Comp.
69
(2000),
749-756.
MSC (1991):
Primary 65B10, 65D20;
Secondary 33E20, 41A60
Posted:
May 21, 1999
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Abstract:
We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are rational functions of the summation index. Several numerical examples are presented.
References:
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- P. Baratella and B. Gabutti, Uniform approximation on unit disk of series arising in plate contact problems, J. Comput. Appl. Math. 62 (1995), 181-196. MR 96h:65003
- 2.
- S. Dassiè, Convergence acceleration of power series by means of asymptotic summation and extrapolation (Italian), Laurea Thesis, University of Padova, 1995 (advisors: M. Vianello and R. Zanovello).
- 3.
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65B10, 65D20,
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Additional Information:
Silvia
Dassié
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy
Marco
Vianello
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy
Email:
marcov@math.unipd.it
Renato
Zanovello
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy
Email:
zanov@math.unipd.it
DOI:
10.1090/S0025-5718-99-01113-8
PII:
S 0025-5718(99)01113-8
Keywords:
Slowly convergent power series,
rational coefficients,
asymptotic expansions,
asymptotic summation
Received by editor(s):
April 28, 1998
Posted:
May 21, 1999
Additional Notes:
Work supported, in part, by the Italian MURST, and by the GNIM-CNR
Copyright of article:
Copyright
2000,
American Mathematical Society
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