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Transactions: NUMERICAL SCHEMES AND METHODS IN SCIENCE AND ENGINEERING
Transactions ID Number: 10-160
Full Name: Enrique Chicurel-Uziel
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Instituto de Ingeniería, UNAM,Circuito Escolar,C.U., 04510 México, D.F.
Country: MEXICO
Tel: 5623-3600, Ext. 8844
Tel prefix: 5255
Fax: 5623-3600 Ext. 8051
E-mail address: ecu@pumas.ii.unam.mx
Other E-mails:
Title of the Paper: Parameterization to Avoid the Gibbs Phenomenon
Authors as they appear in the Paper: E. Chicurel-Uziel
Email addresses of all the authors: ecu@pumas.ii.unam.mx
Number of paper pages: 10
Abstract: Series expansions of functions with discontinuities are plagued by spurious oscillations, this is the well known Gibbs phenomenon. A simple parameterization scheme is proposed to circumvent this phenomenon. The original discontinuous function is represented by parametric equations, with a special parameter such that this representation is continuous, exact and closed. Since the cause of the spurious oscillations are the discontinuities and they are removed, the Gibbs phenomenon simply does not ever arise. There is no significant change in the nature of the original function. Furthermore, it is possible to reconvert the pair of parametric equations into a single non-parametric equation in terms of the original inde-pendent variable.
Keywords: discontinuous functions, piecewise continuous, Gibbs phenomenon, spurious oscillations, Fourier series.
EXTENSION of the file: .doc
Special (Invited) Session: Discontinuous Functions Represented by Exact, Closed, Continuous Parametric Equations
Organizer of the Session: 629-187
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