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Author : Arthur Erdélyi
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Solutions of Differential Equations with Transition Points 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:
Author : Mikhail V. Fedoryuk
Publisher : Springer Science & Business Media
ISBN 13 : 3642580165
Total Pages : 370 pages
Book Rating : 4.6/5 (425 download)
Download or read book Asymptotic Analysis written by Mikhail V. Fedoryuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations. The asymptotic behaviour of an inhomogeneous equation can be obtained from the asymptotic behaviour of the corresponding fundamental system of solutions by applying methods for deriving asymptotic bounds on the relevant integrals. We systematically use the concept of an asymptotic expansion, details of which can if necessary be found in [Wasow 2, Olver 6]. By the "formal asymptotic solution" (F.A.S.) is understood a function which satisfies the equation to some degree of accuracy. Although this concept is not precisely defined, its meaning is always clear from the context. We also note that the term "Stokes line" used in the book is equivalent to the term "anti-Stokes line" employed in the physics literature.
Author : Wolfgang Wasow
Publisher : Courier Dover Publications
ISBN 13 : 0486824586
Total Pages : 385 pages
Book Rating : 4.4/5 (868 download)
Download or read book Asymptotic Expansions for Ordinary Differential Equations written by Wolfgang Wasow and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.
Author : Arthur Erdélyi
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.F/5 ( download)
Download or read book Differential Equations with Transition Points written by Arthur Erdélyi and published by . This book was released on 1955 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Georgescu
Publisher : CRC Press
ISBN 13 : 9780412558603
Total Pages : 282 pages
Book Rating : 4.5/5 (586 download)
Download or read book Asymptotic Treatment of Differential Equations written by A. Georgescu and published by CRC Press. This book was released on 1995-05-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.
Author : Calvin Hayden Wilcox
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Solutions of Differential Equations and Their Applications written by Calvin Hayden Wilcox and published by . This book was released on 1964 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. C. Thorne
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Asymptotic Solution of Differential Equations with a Turning Point and Singularities written by R. C. Thorne and published by . This book was released on 1957 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. W. J. Olver
Publisher : Academic Press
ISBN 13 : 148326744X
Total Pages : 589 pages
Book Rating : 4.4/5 (832 download)
Download or read book Asymptotics and Special Functions written by F. W. J. Olver and published by Academic Press. This book was released on 2014-05-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.
Author : Frank W. J. Olver
Publisher : World Scientific
ISBN 13 : 9789810249946
Total Pages : 548 pages
Book Rating : 4.2/5 (499 download)
Download or read book Selected Papers of F.W.J. Olver written by Frank W. J. Olver and published by World Scientific. This book was released on 2000 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur Erdélyi
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations written by Arthur Erdélyi and published by . This book was released on 1961 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Olver
Publisher : CRC Press
ISBN 13 : 1439864543
Total Pages : 591 pages
Book Rating : 4.4/5 (398 download)
Download or read book Asymptotics and Special Functions written by Frank Olver and published by CRC Press. This book was released on 1997-01-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Author : Milton Abramowitz
Publisher :
ISBN 13 :
Total Pages : 1078 pages
Book Rating : 4.:/5 (318 download)
Download or read book Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1964 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marvin E. Goldstein
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (31 download)
Download or read book Advanced Methods for the Solution of Differential Equations written by Marvin E. Goldstein and published by . This book was released on 1973 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a course presented at the Lewis Research Center for engineers and scientists who were interested in increasing their knowledge of differential equations. Those results which can actually be used to solve equations are therefore emphasized; and detailed proofs of theorems are, for the most part, omitted. However, the conclusions of the theorems are stated in a precise manner, and enough references are given so that the interested reader can find the steps of the proofs.
Author : Chia-Chʻiao Lin
Publisher : World Scientific
ISBN 13 : 9789971503185
Total Pages : 1048 pages
Book Rating : 4.5/5 (31 download)
Download or read book Selected Papers of C.C. Lin written by Chia-Chʻiao Lin and published by World Scientific. This book was released on 1987-01-01 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hua Chen
Publisher : World Scientific
ISBN 13 : 9814481688
Total Pages : 389 pages
Book Rating : 4.8/5 (144 download)
Download or read book Differential Equations And Asymptotic Theory In Mathematical Physics written by Hua Chen and published by World Scientific. This book was released on 2004-10-18 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the application of Gevrey asymptotic expansion to holomorphic dynamical systems. The book also features important invited papers presented at the conference. Leading experts in the field cover a diverse range of topics from partial differential equations arising in cancer biology to transonic shock waves.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Author : L. N. Nosova
Publisher : Elsevier
ISBN 13 : 1483184994
Total Pages : 127 pages
Book Rating : 4.4/5 (831 download)
Download or read book Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equation written by L. N. Nosova and published by Elsevier. This book was released on 2014-06-20 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations contains tables of the special functions, namely, the generalized Airy functions, and their first derivatives, for real and pure imaginary values. The tables are useful for calculations on toroidal shells, laminae, rode, and for the solution of certain other problems of mathematical physics. The values of the functions were computed on the "Strela" highspeed electronic computer. This book will be of great value to mathematicians, researchers, and students.
Author : J.D. Murray
Publisher : Springer Science & Business Media
ISBN 13 : 1461211220
Total Pages : 172 pages
Book Rating : 4.4/5 (612 download)
Download or read book Asymptotic Analysis written by J.D. Murray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics. The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations not expressible as integrals. Murray includes both historical remarks and references to sources or other more complete treatments. More useful as a guide for self-study than as a reference work, it is accessible to any upperclass mathematics undergraduate. Some exercises and a short bibliography included. Even with E.T. Copson's Asymptotic Expansions or N.G. de Bruijn's Asymptotic Methods in Analysis (1958), any academic library would do well to have this excellent introduction." (S. Puckette, University of the South) #Choice Sept. 1984#1
