Perturbation Methods In Science And Engineering

Author : Reza N. Jazar
Publisher : Springer Nature
Page : 584 pages
File Size : 53,5 Mb
Release : 2021-07-12
Category : Technology & Engineering
ISBN : 9783030734626

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Perturbation Methods in Science and Engineering by Reza N. Jazar Pdf

Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.

Author : Reza N. Jazar
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 2021
Category : Electronic
ISBN : 3030734617

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Perturbation Methods in Science and Engineering by Reza N. Jazar Pdf

Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems. Illustrates all key concepts with solved examples; Includes numerous exercises for each chapter; Covers both time and steady state responses of nonlinear differential equations; Covers necessary theory and applied to a variety of topics in optimization and control.

Author : Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib D. Salehi
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 46,5 Mb
Release : 2007-06-21
Category : Mathematics
ISBN : 9780387224466

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Random Perturbation Methods with Applications in Science and Engineering by Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib D. Salehi Pdf

This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.

Author : İlkay Bakırtaş
Publisher : BoD – Books on Demand
Page : 170 pages
File Size : 41,8 Mb
Release : 2018-10-17
Category : Mathematics
ISBN : 9781789842555

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Perturbation Methods with Applications in Science and Engineering by İlkay Bakırtaş Pdf

The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.

Author : Wenfang Chen,C. F. Chan Man Fong,Daniel De Kee
Publisher : World Scientific
Page : 272 pages
File Size : 53,6 Mb
Release : 1999
Category : Mathematics
ISBN : 9810237278

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Perturbation Methods, Instability, Catastrophe and Chaos by Wenfang Chen,C. F. Chan Man Fong,Daniel De Kee Pdf

This important book introduces perturbation and qualitative methods for differential equations in terms understandable to students with only a basic knowledge of calculus and ordinary linear differential equations. Theorems are stated clearly with their limitations and restrictions and are applied to solve examples from various disciplines. The writing style is informal and new ideas are introduced gradually via concepts already familiar to the reader.

Author : İlkay Bakırtaş
Publisher : Unknown
Page : 168 pages
File Size : 51,6 Mb
Release : 2018
Category : Mathematics
ISBN : 1789842565

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Perturbation Methods with Applications in Science and Engineering by İlkay Bakırtaş Pdf

The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.

Author : Carl M. Bender,Steven A. Orszag
Publisher : Springer Science & Business Media
Page : 605 pages
File Size : 51,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475730692

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Advanced Mathematical Methods for Scientists and Engineers I by Carl M. Bender,Steven A. Orszag Pdf

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Author : Richard Ernest Bellman
Publisher : Courier Corporation
Page : 146 pages
File Size : 49,7 Mb
Release : 2003-01-01
Category : Science
ISBN : 0486432580

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Perturbation Techniques in Mathematics, Engineering and Physics by Richard Ernest Bellman Pdf

Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.

Author : Alan W. Bush
Publisher : CRC Press
Page : 326 pages
File Size : 41,5 Mb
Release : 1992-02-03
Category : Mathematics
ISBN : 084938608X

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Perturbation Methods for Engineers and Scientists by Alan W. Bush Pdf

Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential equations and integral expressions. It describes several fluid dynamics applications, including aerofoils, boundary layers in momentum heat, and mass transfer. In addition, it applies the multiple scale technique to the description of surface roughness effects in lubrication. The book's intuitive, rather than formal, approach enables these advanced techniques to be used by scientists and engineers as well as by students.

Author : Anatoli V Skorokhod,Frank C Hoppensteadt,Habib D Salehi
Publisher : Unknown
Page : 504 pages
File Size : 49,7 Mb
Release : 2002-07-09
Category : Electronic
ISBN : 1468492705

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Random Perturbation Methods with Applications in Science and Engineering by Anatoli V Skorokhod,Frank C Hoppensteadt,Habib D Salehi Pdf

Author : Alan W Bush
Publisher : CRC Press
Page : 320 pages
File Size : 52,9 Mb
Release : 2019-08-30
Category : Electronic
ISBN : 036740284X

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Perturbation Methods for Engineers and Scientists by Alan W Bush Pdf

Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential equations and integral expressions. It describes several fluid dynamics applications, including aerofoils, boundary layers in momentum heat, and mass transfer. In addition, it applies the multiple scale technique to the description of surface roughness effects in lubrication. The book's intuitive, rather than formal, approach enables these advanced techniques to be used by scientists and engineers as well as by students.

Author : Mihail M. Konstantinov,Petko Hr Petkov
Publisher : Nova Science Publishers
Page : 281 pages
File Size : 40,5 Mb
Release : 2020-04-06
Category : Control theory
ISBN : 153617470X

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Perturbation Methods in Matrix Analysis and Control by Mihail M. Konstantinov,Petko Hr Petkov Pdf

Notation and preliminaries -- Perturbation problems -- Splitting operators and Lyapunov majorants -- Schur decomposition -- Hamiltonian matrices : basic relations -- Hamiltonian matrices : asymptotic analysis -- Hamiltonian matrices : non-local analysis -- Orthogonal canonical forms -- Feedback synthesis problem.

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 44,6 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617616

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Perturbation Methods by Ali H. Nayfeh Pdf

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Finite Groups of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I RIchard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold S. M. Coxeter Introduction to Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Cuthbert Daniel Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition Bruno de Finetti Theory of Probability, Volume I Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research

Author : J.K. Kevorkian,J.D. Cole
Publisher : Springer Science & Business Media
Page : 642 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461239680

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Multiple Scale and Singular Perturbation Methods by J.K. Kevorkian,J.D. Cole Pdf

This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.

Author : Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib D. Salehi
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 55,7 Mb
Release : 2007-06-21
Category : Mathematics
ISBN : 9780387224466

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Random Perturbation Methods with Applications in Science and Engineering by Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib D. Salehi Pdf

This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.