Download or read book Uniform Asymptotic Expansions Classic Reprint written by Clive Chester and published by Forgotten Books. This book was released on 2016-09-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Uniform Asymptotic Expansions This paper represents results obtained at the Institute of Mathematical Sciences, New York University, under the sponsorship of Contract da-30-069-ord-1258, with the Office of Ordnance Research, U. 8. Army. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Uniform Asymptotic Expansions written by Clive R Chester and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed treatment of uniform asymptotic expansions in analysis. The authors provide a comprehensive review of the relevant techniques and illustrate their applications to a wide range of problems in science and engineering. The book is an essential read for researchers and practitioners interested in asymptotic analysis. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Uniform Asymptotic Expansions Primary Source Edition written by Clive R. Chester and published by . This book was released on 2013-10 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Download or read book Uniform Asymptotic Expansions written by Clive R. Chester and published by . This book was released on 1955 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Approximations of Integrals written by R. Wong and published by Academic Press. This book was released on 2014-05-10 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.
Download or read book Uniform Asymptotic Expansions of Integrals written by N. M. Temme and published by . This book was released on 1984 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uniform Asymptotic Expansions for European Down and out Barrier Options written by 許姗祺 and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Approximations of Integrals written by R. Wong and published by SIAM. This book was released on 2001-01-01 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In Asymptotic Approximations of Integrals, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, and references are provided. The book contains the "distributional method," which is not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as "exponential asymptotics." Expositions of these new theories are available in papers published in various journals, but not yet in book form. Audience: this book can be used either as a text for graduate students in mathematics, physics, and engineering or as a reference for research workers in these fields.
Download or read book Composite Asymptotic Expansions written by Augustin Fruchard and published by Springer. This book was released on 2012-12-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O’Malley resonance problem is solved.
Download or read book Asymptotic Methods For Integrals written by Nico M Temme and published by World Scientific. This book was released on 2014-10-31 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Classic Reprint written by Douglas S. Jones and published by Forgotten Books. This book was released on 2017-10-29 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase To obtain such a result Van Kampen[h] applied the method of stationary phase, originally developed for single integrals, in a purely formal manner. It is clear from the formal uses of the method of stationary phase that the asymptotic series representation of (l) is a sum of asymptotic series determined by the behavior of f(x, y) in the neighborhood of certain critical points of the domain D of integra tion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Asymptotic Approximations of Integrals written by R. Wong and published by SIAM. This book was released on 2001-08-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text remains the most up-to-date book to deal with asymptotic approximations of integrals. All results discussed are proved rigorously, and many of the approximation formulas are accompanied by error bounds. Included is a thorough discussion on multidimensional integrals, with references provided, plus the 'distributional method', not available elsewhere.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Expansions written by Edward Thomas Copson and published by Cambridge University Press. This book was released on 1965-01-01 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.
Download or read book On Uniform Asymptotic Expansions and Associated Polynomials written by K. Soni and published by . This book was released on 1982 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acta Numerica 2007 Volume 16 written by Arieh Iserles and published by Cambridge University Press. This book was released on 2007-06-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact factor, prestigious, annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Download or read book Asymptotic Expansions of Solutions of K U 0 Classic Reprint written by F. G. Friedlander and published by Forgotten Books. This book was released on 2018-02-06 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Asymptotic Expansions of Solutions of (∇ + K)u=0 This behavior is usually determined by obtaining exact solutions and expanding them asymptotically in k. If it were possible to obtain the asymptotic expan sion of a solution directly from (1) and the other conditions of the problem it might be possible to obtain such expansions in problems for which the exact solu tions are not known. It might also be easier to proceed in this way even in problems for which the exact solutions are known. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
