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Author : Ulrich Wellisch
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.:/5 (247 download)
Download or read book Asymptotic Behaviour of Solutions of Estimating Equations with Functional Parameter written by Ulrich Wellisch and published by . This book was released on 1999 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Helmut Pruscha
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (245 download)
Download or read book Asymptotic Behaviour of Estimation Equations with Functional Nuisance Or Working Parameter written by Helmut Pruscha and published by . This book was released on 1997 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Helmut Pruscha
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (245 download)
Download or read book Asymptotic Behaviour of Estimation Equations with Functional Nuisance Or Working Parameter written by Helmut Pruscha and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. I. Vishik
Publisher : Cambridge University Press
ISBN 13 : 9780521422376
Total Pages : 172 pages
Book Rating : 4.4/5 (223 download)
Download or read book Asymptotic Behaviour of Solutions of Evolutionary Equations written by M. I. Vishik and published by Cambridge University Press. This book was released on 1992 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short but sweet summary of globally asymptotic solutions of evolutionary equations.
Author : Mikhail V. Fedoryuk
Publisher : Springer
ISBN 13 : 9783642634352
Total Pages : 0 pages
Book Rating : 4.6/5 (343 download)
Download or read book Asymptotic Analysis written by Mikhail V. Fedoryuk and published by Springer. This book was released on 2012-10-13 with total page 0 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 : Carlos Simpson
Publisher : Springer
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Behavior of Monodromy written by Carlos Simpson and published by Springer. This book was released on 1991 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's.
Author : Adelaida Borisovna Vasilʹeva
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (18 download)
Download or read book Asymptotic Behaviour of Solutions to Certain Problems Involving Nonlinear Differential Equations Containing a Small Parameter Multiplying the Highest Derivatives written by Adelaida Borisovna Vasilʹeva and published by . This book was released on 1962* with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aleksandr N. Sarkovskij
Publisher :
ISBN 13 :
Total Pages : 149 pages
Book Rating : 4.:/5 (878 download)
Download or read book Asymptotic behaviour of solutions of functional differential equations written by Aleksandr N. Sarkovskij and published by . This book was released on 1978 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B Vainberg
Publisher : CRC Press
ISBN 13 : 9782881246647
Total Pages : 516 pages
Book Rating : 4.2/5 (466 download)
Download or read book Asymptotic Methods in Equations of Mathematical Physics written by B Vainberg and published by CRC Press. This book was released on 1989-02-25 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
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 : M.V. Fedoryuk
Publisher : Springer Science & Business Media
ISBN 13 : 9783540533719
Total Pages : 262 pages
Book Rating : 4.5/5 (337 download)
Download or read book Partial Differential Equations V written by M.V. Fedoryuk and published by Springer Science & Business Media. This book was released on 1999 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six articles in this EMS volume provide an overview of a number of mid-to-late-1990s techniques in the study of the asymptotic behaviour of partial differential equations. These techniques include the Maslov canonical operator, and semiclassical asymptotics of solutions and eigenfunctions.
Author : Garry Einicke
Publisher : BoD – Books on Demand
ISBN 13 : 9533077522
Total Pages : 290 pages
Book Rating : 4.5/5 (33 download)
Download or read book Smoothing, Filtering and Prediction written by Garry Einicke and published by BoD – Books on Demand. This book was released on 2012-02-24 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the classical smoothing, filtering and prediction techniques together with some more recently developed embellishments for improving performance within applications. It aims to present the subject in an accessible way, so that it can serve as a practical guide for undergraduates and newcomers to the field. The material is organised as a ten-lecture course. The foundations are laid in Chapters 1 and 2, which explain minimum-mean-square-error solution construction and asymptotic behaviour. Chapters 3 and 4 introduce continuous-time and discrete-time minimum-variance filtering. Generalisations for missing data, deterministic inputs, correlated noises, direct feedthrough terms, output estimation and equalisation are described. Chapter 5 simplifies the minimum-variance filtering results for steady-state problems. Observability, Riccati equation solution convergence, asymptotic stability and Wiener filter equivalence are discussed. Chapters 6 and 7 cover the subject of continuous-time and discrete-time smoothing. The main fixed-lag, fixed-point and fixed-interval smoother results are derived. It is shown that the minimum-variance fixed-interval smoother attains the best performance. Chapter 8 attends to parameter estimation. As the above-mentioned approaches all rely on knowledge of the underlying model parameters, maximum-likelihood techniques within expectation-maximisation algorithms for joint state and parameter estimation are described. Chapter 9 is concerned with robust techniques that accommodate uncertainties within problem specifications. An extra term within Riccati equations enables designers to trade-off average error and peak error performance. Chapter 10 rounds off the course by applying the afore-mentioned linear techniques to nonlinear estimation problems. It is demonstrated that step-wise linearisations can be used within predictors, filters and smoothers, albeit by forsaking optimal performance guarantees.
Author : G. I. Marchuk
Publisher : Elsevier
ISBN 13 : 1483154548
Total Pages : 165 pages
Book Rating : 4.4/5 (831 download)
Download or read book Differential Equations and Numerical Mathematics written by G. I. Marchuk and published by Elsevier. This book was released on 2014-06-25 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Numerical Mathematics contains selected papers presented in a national conference held in Novosibirsk on September 1978. This book, as the conference, is organized into three sections. Section A describes the modern theory of efficient cubature formulas; embedding theorems; and problems of spectral analysis. Section B considers the theoretical questions of partial differential equations, with emphasis on hyperbolic equations and systems, formulations, and methods for nonclassical problems of mathematical physics. Section C addresses the various problems of numerical mathematics, with focus on the optimum and asymptotically optimum algorithms for solving the problems of numerical mathematics.
Author : Jaya P. N. Bishwal
Publisher : Springer
ISBN 13 : 3540744487
Total Pages : 271 pages
Book Rating : 4.5/5 (47 download)
Download or read book Parameter Estimation in Stochastic Differential Equations written by Jaya P. N. Bishwal and published by Springer. This book was released on 2007-09-26 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modeling complex phenomena. The subject has attracted researchers from several areas of mathematics. This volume presents the estimation of the unknown parameters in the corresponding continuous models based on continuous and discrete observations and examines extensively maximum likelihood, minimum contrast and Bayesian methods.
Author : Herbert Amann
Publisher : CRC Press
ISBN 13 : 9780582317093
Total Pages : 228 pages
Book Rating : 4.3/5 (17 download)
Download or read book Progress in Partial Differential Equations written by Herbert Amann and published by CRC Press. This book was released on 1998-04-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics ogeneral evolution problems calculus of variations ohomogenization omodeling numerical analysis. The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.
Author : G. A. Bekey
Publisher : Elsevier
ISBN 13 : 1483165787
Total Pages : 869 pages
Book Rating : 4.4/5 (831 download)
Download or read book Identification and System Parameter Estimation 1982 written by G. A. Bekey and published by Elsevier. This book was released on 2016-06-06 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identification and System Parameter Estimation 1982 covers the proceedings of the Sixth International Federation of Automatic Control (IFAC) Symposium. The book also serves as a tribute to Dr. Naum S. Rajbman. The text covers issues concerning identification and estimation, such as increasing interrelationships between identification/estimation and other aspects of system theory, including control theory, signal processing, experimental design, numerical mathematics, pattern recognition, and information theory. The book also provides coverage regarding the application and problems faced by several engineering and scientific fields that use identification and estimation, such as biological systems, traffic control, geophysics, aeronautics, robotics, economics, and power systems. Researchers from all scientific fields will find this book a great reference material, since it presents topics that concern various disciplines.
Author : Marat Andreevič Evgrafov
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Estimates and Entire Functions. Translated by Allen L. Shields written by Marat Andreevič Evgrafov and published by . This book was released on 1961 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
