Monday 23 August 2010

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Transactions: NUMERICAL SCHEMES AND METHODS IN SCIENCE AND ENGINEERING
Transactions ID Number: 10-191
Full Name: Vitaly Melnikov
Position: Associate Professor
Age: ON
Sex: Male
Address: Tipanova str. 29, apt 73, St.Petersburg, Russia, 196244
Country: RUSSIA
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E-mail address: melnikov@mail.ifmo.ru
Other E-mails: vita-melnikov@yandex.ru
Title of the Paper: A method of extended linearization for polynomial periodic and autonomous systems
Authors as they appear in the Paper: Vitaly Melnikov
Email addresses of all the authors: melnikov@mail.ifmo.ru
Number of paper pages: 9
Abstract: This paper presents a new method of making an approximately equivalent extended linear systems for autonomous nonlinear systems with polynomial structure. This method is based on the method of extended model. The Chebyshev economization is used to obtain higher accuracy. The method is extended on polynomial systems with periodic coefficients. Two examples are given to illus-trate the developed method.
Keywords: Chebyshev economization, Chebyshev polynomials, telescoping power series, nonlinear systems, approximation, extended systems, autonomous systems, periodic systems
EXTENSION of the file: .doc
Special (Invited) Session: Chebyshev economization in transformations of nonlinear systems with polynomial structure
Organizer of the Session: 646-370
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