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Asymptotic Expansion Of Fourier Integrals Via The Method Of Stationary Phase
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Book Synopsis Asymptotic Expansion of Fourier Integrals Via the Method of Stationary Phase by : Paul S. Rossi
Download or read book Asymptotic Expansion of Fourier Integrals Via the Method of Stationary Phase written by Paul S. Rossi and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Expansions of Integrals by : Norman Bleistein
Download or read book Asymptotic Expansions of Integrals written by Norman Bleistein and published by Ardent Media. This book was released on 1975 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent, systematic coverage of standard methods: integration by parts, Watson's lemma, LaPlace's method, stationary phase and steepest descents. Also includes Mellin transform method and less elementary aspects of the method of steepest descents. Abundant exercises. 1975 edition.
Book Synopsis Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase by : Douglas S. Jones
Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase written by Douglas S. Jones and published by Franklin Classics Trade Press. This book was released on 2018-11-10 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Asymptotic Expansions of Integrals by : Norman Bleistein
Download or read book Asymptotic Expansions of Integrals written by Norman Bleistein and published by Courier Corporation. This book was released on 1986-01-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
Book Synopsis Asymptotic Expansions of Integral Transforms with Oscillatory Kernels by : Richard A. Handelsman
Download or read book Asymptotic Expansions of Integral Transforms with Oscillatory Kernels written by Richard A. Handelsman and published by . This book was released on 1971 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymtotic Expansion of Certain Fourier Integrals Via the Method of Stationary Phase by : Henry Clay Foehl
Download or read book Asymtotic Expansion of Certain Fourier Integrals Via the Method of Stationary Phase written by Henry Clay Foehl and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Methods For Integrals by : Nico M Temme
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.
Book Synopsis The Asymptotic Analysis of Multidimensional Fourier Integrals - An Alternative Derivation by : Norman Bleistein
Download or read book The Asymptotic Analysis of Multidimensional Fourier Integrals - An Alternative Derivation written by Norman Bleistein and published by . This book was released on 1973* with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of multidimensional stationary phase is derived via a technique which makes strong use of integration by parts. The diagonalization of the matrix of second derivatives at the stationary point is carried out here in such a manner as to make all coefficients in the exponent plus or minus 1. This modification of existing technique allows for the explicit calculation of the nth term of the asymptotic expansion in a closed form which involves the amplitude of the integrand in transformed coordinates. The first correction term in the multi-dimensional stationary phase formula is readily calculated from this result. (Author).
Book Synopsis Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase - Primary Source Edition by : Douglas S. Jones
Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase - Primary Source Edition written by Douglas S. Jones and published by Nabu Press. This book was released on 2014-02 with total page 56 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.
Book Synopsis Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase - Scholar's Choice Edition by : Douglas S Jones
Download or read book Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase - Scholar's Choice Edition written by Douglas S Jones and published by Scholar's Choice. This book was released on 2015-02-14 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Book Synopsis Asymptotic Approximations of Integrals by : R. Wong
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.
Book Synopsis Asymptotic Methods for Integrals by : Nico M. Temme
Download or read book Asymptotic Methods for Integrals written by Nico M. Temme and published by World Scientific Publishing Company. This book was released on 2015 with total page 0 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.
Book Synopsis Geometric Asymptotics by : Victor Guillemin
Download or read book Geometric Asymptotics written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 1990 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
Book Synopsis Asymptotic Expansions: Their Derivation and Interpretation by : Robert B. Dingle
Download or read book Asymptotic Expansions: Their Derivation and Interpretation written by Robert B. Dingle and published by . This book was released on 1973 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction To Asymptotics - A Treatment Using Nonstandard Analysis by : Douglas S Jones
Download or read book Introduction To Asymptotics - A Treatment Using Nonstandard Analysis written by Douglas S Jones and published by World Scientific. This book was released on 1997-01-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the subject sufficient for scientists and engineers to grasp the fundamental techniques, both those which have been known for some time and those which have been discovered more recently. The asymptotic approximation of both integrals and differential equations is discussed and the discussion includes hyperasymptotics as well as uniform asymptotics. There are many numerical examples to illustrate the relation between theory and practice. Exercises in the chapters enable the book to be used as a text for an introductory course.
Book Synopsis Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities by : Arthur Erdélyi
Download or read book Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities written by Arthur Erdélyi and published by . This book was released on 1956 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotics and Borel Summability by : Ovidiu Costin
Download or read book Asymptotics and Borel Summability written by Ovidiu Costin and published by CRC Press. This book was released on 2008-12-04 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr