Exact And Asymptotic Solutions Of The Cauchy Problem Classic Reprint

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Exact And Asymptotic Solutions Of The Cauchy Problem Classic Reprint

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Author : Donald Ludwig
language : en
Publisher: Forgotten Books
Release Date : 2017-12-24

Exact And Asymptotic Solutions Of The Cauchy Problem Classic Reprint written by Donald Ludwig and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-24 with Mathematics categories.

Excerpt from Exact and Asymptotic Solutions of the Cauchy Problem Here we neither require nor expect that the series shall converge, but only that v shall be an approximate solution for sufficiently large values of a). In other words. 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.

Exact And Asymptotic Solutions Of The Cauchy Problem

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Author : Donald Ludwig
language : en
Publisher: Sagwan Press
Release Date : 2015-08-25

Exact And Asymptotic Solutions Of The Cauchy Problem written by Donald Ludwig and has been published by Sagwan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-25 with History categories.

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.

Exact And Asymptotic Solutions Of The Cauchy Problem Primary Source Edition

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Author : Donald Ludwig
language : en
Publisher: Nabu Press
Release Date : 2013-10

Exact And Asymptotic Solutions Of The Cauchy Problem Primary Source Edition written by Donald Ludwig and has been published by Nabu Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10 with categories.

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.

Asymptotic Methods For Ordinary Differential Equations

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Author : R.P. Kuzmina
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-30

Asymptotic Methods For Ordinary Differential Equations written by R.P. Kuzmina and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-30 with Mathematics categories.

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j , which depends on time and a small parameter. This problem is a generalization of the regu larly perturbed Cauchy problem studied by Poincare [35]. Some differential equations which are solved by the averaging method can be reduced to a quasiregular Cauchy problem. As an example, in Chapter 2 we consider the van der Pol problem. In Part 2 we study the Tikhonov problem. This is, a Cauchy problem for a system of ordinary differential equations where the coefficients by the derivatives are integer degrees of a small parameter.

Harmonic Analysis And Asymptotic Behavior Of Solutions To The Abstract Cauchy Problem

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Author : Bolis Basit
language : en
Publisher:
Release Date : 1994

Harmonic Analysis And Asymptotic Behavior Of Solutions To The Abstract Cauchy Problem written by Bolis Basit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Semi Classical Approximation In Quantum Mechanics

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Author : Victor P. Maslov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30

Semi Classical Approximation In Quantum Mechanics written by Victor P. Maslov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with Science categories.

This volume is concerned with a detailed description of the canonical operator method - one of the asymptotic methods of linear mathematical physics. The book is, in fact, an extension and continuation of the authors' works [59], [60], [65]. The basic ideas are summarized in the Introduction. The book consists of two parts. In the first, the theory of the canonical operator is develop ed, whereas, in the second, many applications of the canonical operator method to concrete problems of mathematical physics are presented. The authors are pleased to express their deep gratitude to S. M. Tsidilin for his valuable comments. THE AUTHORS IX INTRODUCTION 1. Various problems of mathematical and theoretical physics involve partial differential equations with a small parameter at the highest derivative terms. For constructing approximate solutions of these equations, asymptotic methods have long been used. In recent decades there has been a renaissance period of the asymptotic methods of linear mathematical physics. The range of their applicability has expanded: the asymptotic methods have been not only continuously used in traditional branches of mathematical physics but also have had an essential impact on the development of the general theory of partial differential equations. It appeared recently that there is a unified approach to a number of problems which, at first sight, looked rather unrelated.

Ii Fourier Analysis Self Adjointness

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Author : Michael Reed
language : en
Publisher: Elsevier
Release Date : 1975

Ii Fourier Analysis Self Adjointness written by Michael Reed and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.

Band 2.

Mathematics Past And Present Fourier Integral Operators

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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-02-18

Mathematics Past And Present Fourier Integral Operators written by J.J. Duistermaat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-18 with Mathematics categories.

What is the true mark of inspiration? Ideally it may mean the originality, freshness and enthusiasm of a new breakthrough in mathematical thought. The reader will feel this inspiration in all four seminal papers by Duistermaat, Guillemin and Hörmander presented here for the first time ever in one volume. However, as time goes by, the price researchers have to pay is to sacrifice simplicity for the sake of a higher degree of abstraction. Thus the original idea will only be a foundation on which more and more abstract theories are being built. It is the unique feature of this book to combine the basic motivations and ideas of the early sources with knowledgeable and lucid expositions on the present state of Fourier Integral Operators, thus bridging the gap between the past and present. A handy and useful introduction that will serve novices in this field and working mathematicians equally well.

Nonlinear Partial Differential Equations And Related Analysis

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Author : Gui-Qiang Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Nonlinear Partial Differential Equations And Related Analysis written by Gui-Qiang Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume. Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, NavierStokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism. Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods forimage processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits. The volume is suitable for researchers and graduate students interested in partial differential equations.

Differential Geometry Part 2

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Author : Shiing-Shen Chern
language : en
Publisher: American Mathematical Soc.
Release Date : 1975

Differential Geometry Part 2 written by Shiing-Shen Chern and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.

Contains sections on Complex differential geometry, Partial differential equations, Homogeneous spaces, and Relativity.