R. Wong

Asymptotic and Computational Analysis

Conference in Honor of Frank W.J. Olver's 65th Birthday

• Broschiertes Buch

Produktbeschreibung

Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Man., sponsored by the Dept. of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.

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Produktdetails

• Verlag: Routledge
• Seitenzahl: 776
• Erscheinungstermin: 1. März 1990
• Englisch
• Abmessung: 254mm x 178mm x 41mm
• Gewicht: 1431g
• ISBN-13: 9780824783471
• ISBN-10: 0824783476
• Artikelnr.: 22132020

Autorenporträt

R. WONG is Professor and Head of the Department of Applied Mathematics, University of Manitoba, Winnipeg, Canada. The author of Asymptotic Approximations of Integrals, and the author or coauthor of over 50 mathematical journal articles, Dr. Wong is President of the Canadian Applied Mathematics Society and a member of the Society for Industrial and Applied Mathematics. He received the B.A. degree (1965) in mathematics from San Diego State College, San Diego, California, and Ph.D. degree (1969) in mathematics from the University of Alberta, Edmonton, Canada.

Inhaltsangabe

Preface
Contributors
INVITED PAPERS
Graphs as an Aid to Understanding Special Functions /by R. A. Askey
Asymptotics of Integals, Series, and Operators /by L. Berg
Asymptotic Expansions for the Coefficient Functions Associated with Linear Second
Order Differential Equations: The Simple Pole Case /by W. G. C. Boyd
Landen Transformations of Integrals /by B. C. Carlson
Accelerating the Convergence of Chebyshev Series /by L. M. Ciasullo and J, A. Cochran
Practical Methods for the Uniform Asymptotic Evaluation of Oscillating Integrals with Several Coalescing Saddle Points /by J. N. L. Connor
New Inequalities for the Zeros of Confluent Hypergeometric Functions /by Luigi Gatteschi
How (Un)stable Are Vandermonde Systems? /by Walter Gautschi
Singular Point and Exponential Asymptotics /by Floyd B. Hanson
Uniform Asymptotic Remainders /by D. S. Jones
Period Tripling and Subharmonic Oscillations in Marangoni Flows in a Cylindrical Liquid Bridge /by Nicholas D. Kazarinoff and Joseph S. Wilkowski
Positive Solutions for Degenerate and Nondegenerate Elliptic Systems: Existence and Numerical Approximations /by Anthony W. Leung and Guangwei Fan
Observable Tunneling in Several Dimensions /by R. E. Meyer
On Stokes' Phenomenon and Converging Factors /by Frank W. J. Olver
Singularly Perturbed Boundary Value Problems Viewed in the Lienard Plane /by J. D. Allen and R. E. O'Malley, Jr.
On the Asymptotic Theory of the Orr
Sommerfeld Problem /by W. H. Reid
Gevrey Property of Formal Solutions in a Parameter /by Yasutaka Sibuya
A Riccati Approach to the Airy Equation /by Donald R. Smith
A System of Polynomials Associated with the Chester, Friedman, and Ursell Technique /by K. Soni and R. P. Soni
Rational Approximation of the Step, Filter, and Impulse Functions /by Yasuhiko Ikebe, Marek Kowalski, and Frank Stenger
Polynomial Asymptotic Estimates of Gegenbauer, Laguerre, and Jacobi Polynomials /by Nico M. Temme
Integrals with a Large Parameter and the Maximum
Modulus Principle /by F. Ursell
Finite Axial Extension and Torsion of Elasti~ Helicoidal Shells /by Frederic Y. M. Wan
Some Properties of Convolution Sequences and Asymptotics for the Taylor Coefficients for Products of Bessel Functions /by Jet Wimp
A Generalization of Olver's Algorithm for Linear Difference Systems /by R. V. M. Zahar
CONTRIBUTED PAPERS
Continental Shelf Wave Scattering: Partial Removal of the Rigid Lid /by Anthony M. J. Davis
Some Aspects of Invariant Subspaces Computation /by Luca Dieci and Robert D. Russell
Error Bounds via Complete Monotonicity for a Uniform Asymptotic Expansion of the Legendre Function p~m(cosh z) /by C. L. Frenzen
Computational Asymptotics of Fourth
Order Operators /by P. A. Carinhas and S. A. Fulling
Universal Asymptotic Distribution Functions mod 1 /by William M. Y. Goh and Eric Schmutz
On the n
Variable Saddle Point and Steepest Descent Methods /by D. Kaminski
Applications of the Method of Steepest Descents in WavePropagation Problems /by Francesco Mainardi and Giuliano Vitali
The Asymptotics of Pearcey's Integral for Complex Variables /by R. B. Paris
Asymptotic Methods in Magnetoconvection /by N. Rudraiah, O. P. Chandna ,and R. M. Barron
The Interior Layer Structure for a Linear Parabolic Problem with Discontinuous Data /by Shagi
Di Shih
Asymptotic Expansions of Solutions to ~u
u = f at Infinity /by D. Siegel
Approximating Zeros of Solutions of Second
Order Linear ODEs by "Phase Function" Methods /by R. Spigler and M. Vianello
Asymptotic Expansions of Integrals of Two Bessel Functions /by B. J. Stoyanov, R. A. Farrell, and J. F. Bird
On Eigenvalues with Exponentially Small Imaginary Part /by A. D. Wood and R. B. Paris
Index