Applications Of Pade Approximation Theory In Fluid Dynamics is popular PDF and ePub book, written by Amilcare Pozzi in 1994-03-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Applications Of Pade Approximation Theory In Fluid Dynamics can be Read Online from any device for your convenience.
Applications Of Pade Approximation Theory In Fluid Dynamics Book PDF Summary
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.
Detail Book of Applications Of Pade Approximation Theory In Fluid Dynamics PDF
- Author : Amilcare Pozzi
- Release : 07 March 1994
- Publisher : World Scientific
- ISBN : 9789814504096
- Genre : Mathematics
- Total Page : 257 pages
- Language : English
- PDF File Size : 11,6 Mb
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