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by Amilcare Pozzi

Download Applications of Pade' Approximation Theory in Fluid Dynamics (Advanced Series in Neuroscience) fb2
Author: Amilcare Pozzi
ISBN: 9810214146
Language: English
Pages: 252 pages
Category: Engineering
Publisher: World Scientific Publishing Company (March 1, 1994)
Rating: 4.5
Formats: lit txt docx lit
FB2 size: 1245 kb | EPUB size: 1672 kb | DJVU size: 1504 kb

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Although Padé presented his fundamental paper at the end of the last century, the studies on Padé's approximants only became significant in the second part of this century. Padé procedure is related to the theory of continued fractions, and some. Padé procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Padé approximants have some advantages of practical applicability with respect to the continued-fraction theory

The fourth part considers two examples of the application of Pade approximants to unsteady flows. Format Hardback 252 pages.

The fourth part considers two examples of the application of Pade approximants to unsteady flows. Dimensions 15. 5 x 22. 5 x 2. mm 47. 7g. Publication date 01 Mar 1994. Publisher World Scientific Publishing Co Pte Ltd.

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Applications of Padé approximation theory in fluid dynamics. Category: Fluid dynamics - Mathematics. Fluides, Dynamique des - Mathématiques.

Finally, the authors discuss physical applications of linear chaotic dynamical systems.

The solution is found in the form of a power series in time, Fourier series in space with the equation of motion written as a quadratic operation on the Fourier–Taylor coefficients of a single component of vorticity. Finally, the authors discuss physical applications of linear chaotic dynamical systems.

Material type: BookSeries: Series on advances in mathematics for applied sciences; . 4. Publisher: Singapore WS 1994Description: xiv, 231p. Subject(s): Fluid dynamics- Mathematics Pade approximantDDC classification: 53. 50 15 N94. Tags from this library: No tags from this library for this title.

Cowley, S. J. 1983 Computer extension and analytic continuation of Blasius’ expansion for impulsive flow past a circular cylinder. Recommend this journal

Cowley, S. Recommend this journal. Journal of Fluid Mechanics.

Anniversary Volume on Approximation Theory and Functional Analysis pp. .

Anniversary Volume on Approximation Theory and Functional Analysis pp 511-519 Cite as. Graph Theory in the Approximation Theory of Fluid Dynamics. Authors and affiliations. Cite this chapter as: Gustafson K. (1984) Graph Theory in the Approximation Theory of Fluid Dynamics. S. Nagy B. (eds) Anniversary Volume on Approximation Theory and Functional Analysis. ISNM 65: International Series of Numerical Mathematics, Internationale Schriftenreihe zur Numerischen Mathematik, Série internationale d’Analyse numérique, vol 65. Birkhäuser, Basel.

A significant induction effect is observed for strong dipolar fluids in dense (liquid) state.

On the positive side, Padé approximations can sometimes give good approximations to a function even at points where the series (. 6) diverges (see Problem . 1). We might expect the errors of Padé approximations to grow with x. We illustrate this in Table . where we have chosen to display the relative errors ex − Rm, m(x) /ex. A significant induction effect is observed for strong dipolar fluids in dense (liquid) state. Hence, the effective dipolar moment is higher than the value determined for vacuum.

Although Padé presented his fundamental paper at the end of the last century, the studies on Padé's approximants only became significant in the second part of this century.Padé procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Padé approximants have some advantages of practical applicability with respect to the continued-fraction theory. Moreover, as Chisholm notes, a given power series determines a set of approximants which are usually unique, whereas there are many ways of writing an associated continued fraction.The principal advantage of Padé approximants with respect to the generating Taylor series is that they provide an extension beyond the interval of convergence of the series.Padé approximants can be applied in many parts of fluid-dynamics, both in steady and in nonsteady flows, both in incompressible and in compressible regimes.This book is divided into four parts. The first one deals with the properties of the Padé approximants that are useful for the applications and illustrates, with the aid of diagrams and tables, the effectiveness of this technique in the field of applied mathematics. The second part recalls the basic equations of fluid-dynamics (those associated with the names of Navier-Stokes, Euler and Prandtl) and gives a quick derivation of them from the general balance equation. The third shows eight examples of the application of Padé approximants to steady flows, also taking into account the influence of the coupling of heat conduction in the body along which a fluid flows with conduction and convection in the fluid itself. The fourth part considers two examples of the application of Padé approximants to unsteady flows.