Asymptotic Methods For Integrals
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€248.00
A01=Nico M Temme
Approximation of Integrals
Asymptotic Analysis
Asymptotic Approximations
Asymptotic Expansions
Author_Nico M Temme
Category=PBKL
Cumulative Distribution Functions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Numerical Approximation of Special Functions
Saddle Point Methods
Special Functions
Stationary Phase Method
Steepest Descent Methods
Product details
- ISBN 9789814612159
- Publication Date: 30 Dec 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
