Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications (Springer Series in Synergetics)

Book Description

Asymptotic methods are of great importance for practical applications, especially in dealing with boundary value problems for small stochastic perturbations. This book deals with nonlinear dynamical systems perturbed by noise. It addresses problems in which noise leads to qualitative changes, escape from the attraction domain, or extinction in population dynamics. The most likely exit point and expected escape time are determined with singular perturbation methods for the corresponding Fokker-Planck equation. The authors indicate how their techniques relate to the Itô calculus applied to the Langevin equation. The book will be useful to researchers and graduate students.

hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics)

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hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics)
Jens M. Melenk
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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ASIN: 3540442014

Book Description

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

Perturbation Methods for Differential Equations

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Perturbation Methods for Differential Equations
Bhimsen Shivamoggi
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817641890

Book Description

Many differential equations with nonlinearities or variable coefficients do not permit the construction of exact solutions. This book introduces several perturbation methods that can be used to develop approximate solutions of such equations. To accommodate an interdisciplinary readership, the author focuses almost exclusively on procedures, underlying ideas and applications, and minimizes technical proofs.

The book begins with an introduction to the idea of asymptotic approximations to the evaluation of transcendental functions and the solution of differential equations, as well as a discussion of the regular perturbation approach. What follows is a systematic and unified treatment of the resolution of the nonuniformities produced, as a rule, by the regular perturbation method. Several singular perturbation methods are examined, including the methods of: strained parameters, averaging, matched asymptotic expansions, multiple scales, and quantum-field-theoretic renormalization.

Methods treated are applied to ordinary and partial differential equations arising in various problems of solid mechanics, fluid dynamics, and plasma physics. Background material is provided in each chapter along with illustrative examples, problems, and selected solutions. A comprehensive bibliography and index complete the work.

Perturbation Methods for Differential Equations serves as a textbook for graduate students and advanced undergraduate students in applied mathematics, physics, and engineering who want to enhance their expertise with mathematical methods via a one- or two-semester course. Researchers in these areas will also find the book an excellent reference.

Perturbation Methods for Engineers and Scientists

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Perturbation Methods for Engineers and Scientists
Alan W. Bush
Manufacturer: CRC
ProductGroup: Book
Binding: Paperback

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Introduction to Perturbation Methods

ASIN: 0849386144

Book Description

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.

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Random Perturbation Methods
Anatoli V. Skorokhod , Frank C. Hoppensteadt , and Habib D. Salehi
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387954279

Book Description

This book covers the impact of noise on models that are widely used in science and engineering applications. It applies perturbed methods, which assume noise changes on a faster time or space scale than the system being studied. The book is written in two parts. The first part presents a careful development of mathematical methods needed to study random perturbations of dynamical systems. The second part presents non-random problems in a variety of important applications. Such problems are reformulated to account for both external and system random noise.

Singular Perturbation Methods in Control: Analysis and Design (Classics in Applied Mathematics)

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Singular Perturbation Methods in Control: Analysis and Design (Classics in Applied Mathematics)
Petar Kokotovic , Hassan K. Khali , and John O'Reilly
Manufacturer: Society for Industrial Mathematics
ProductGroup: Book
Binding: Paperback

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ASIN: 0898714443

Book Description

Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point.

Introduction to Perturbation Methods (Texts in Applied Mathematics)

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nice introduction
Best available introduction to perturbation methods

Introduction to Perturbation Methods (Texts in Applied Mathematics)
Mark H. Holmes
Manufacturer: Springer-Verlag
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540942033

Book Description

This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.

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nice introduction.......2006-05-30

I found this book explains the ideas very well and also provides examples that help to understand the methods. I also liked all the exercies at the end of each chapter. This is one book that anyone who studies applied mathematics should have on their bookshelf.

Best available introduction to perturbation methods.......2004-05-20

I have read several books on perturbation methods, and this book absolutely the best. Perturbation methods are used in problems where the equations (algebraic, ODEs, or PDEs) involve a small parameter, or that evolve on multiple time scales that differ by orders of magnitude. The basic idea is to build an approximate solution to the equation based on a series expansion involving the small parameter. Usually two or more series expansions are built and then combined to yield a solution to the equation that incorporates dynamics on both the slow and fast time scales (for example).

The first two chapters introduce the basic concepts of asymptotic expansions. Several informative, though relatively simple, examples are developed in detail to illustrate the techniques. The third chapter introduces techniques for solving problems involving multiple scales. Chapters four and five discuss the WKB method and homogenization techniques. The final chapter shows how perturbation methods can be used in conjunction with techniques from dynamical systems analysis, especially stability analysis and bifurcation theory.

The contents of the book are extremely well-chosen and pertinent. Many of the problems and techniques are based on realistic physical systems, and represent the types of problems an applied mathematician is likely to encounter in practice. The book's prose is clear and informative. Only occasionally did I feel that the author had explained something poorly or left out an important piece of information.

There are of course a couple of problems with the book. First, most of the exercises are significantly more difficult than the examples, and no hints or solutions are given. This can be a draw-back if you are using the book for self-study. There are a number of typos and errors in the text, though the author's website has a list of errata. Finally, solving perturbation problems in practice often involves subtle tricks, and unfortunately, this book does not discuss or give examples of many of those tricks.

Overall, this is definitely the best introductory book on perturbation methods. You should definitely consider this book if you work in applied math or with differential equations.

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LE TARTUFFE OU L'IMPOSTEUR
Raymond Moliere; & Bernex
Manufacturer: Bordas
ProductGroup: Book
Binding: Paperback
ASIN: 2040111298

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Moliere Le Tartuffe (Nouveaux Classiques Larousse)
Leon Lejealle , Felix Guirand , and Jean-Pol Caput
Manufacturer: librairie larousse
ProductGroup: Book
Binding: Paperback

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ASIN: B000JJLGN2

Product Description

Le Tartuffe comedie, avec une notice biographique et litteraire un lexique des notes expicatives, des judgements un questionnaire et des sujets de devoirs

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Excellent for those who love satire
Dover is Not the Wilbur translation!
Pleasant & Witty
A simply delightful read!
Witty and Truthful

Le Tartuffe
Moliere
Manufacturer: French & European Pubns
ProductGroup: Book
Binding: Paperback
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ASIN: 0685342387

Book Description

Condemned and banned for five years in MoliÃ¨re's day, Tartuffe is a satire on religious hypocrisy. Tartuffe worms his way into Orgon's household, blinding the master of the house with his religious "devotion," and almost succeeds in his attempts to seduce his wife and disinherit his children before the final unmasking.

Customer Reviews:

Excellent for those who love satire.......2007-02-08

For those who knows Shakespeare's story, "Othello", it's amazing how similar this is. The only difference is the knowledge of situation by the sharp-tongued maid. Oh, and the deus ex machina ending that abruptly steals the remainder of your breath away (after having laughed so hard at the ridiculous, satirical antics of the antagonist and the idiocy of the protagonist). If you enjoy French humor, this is for you. If not, or if you prefer to cross the thin line between comedy and tragedy, read Othello instead.

Dover is Not the Wilbur translation!.......2006-09-15

Beware! The Dover edition is NOT the wonderful Wilbur poetry translation. It is a lumbering, stilted prose translation based on an 18th century version. The play comes through, but barely. Since no translator was listed and so many reviewers indicated that this was the Wilbur version, I ordered this for my theatre class to read -- disaster! Spend the money on the Wilbur -- it's worth it.

Pleasant & Witty.......2006-08-20

This book satirizes the conventions of the time period it was written. It is extremely funny, if you can understand it. The translation is a bit difficult, not for the common reader. I had to truly concentrate to understand everything.
It is short and concise, for those who like a fast accelerating plot.

A simply delightful read!.......2006-07-24

I was required to read this book for a course I am taking at Univeristy. I found Tartuffe to be a simply delightful and fun read. The (rhyming) prose is translated well, although I question if the original meter was consistent throughout the play or not. The english meter is not. Tartuffe pokes fun at the neo-classical era religious hypocrite. Even today, hundreds of years after the writing of this book I still found myself laughing at Moliere's jokes and wit.

Witty and Truthful.......2005-12-25

Moliere's Tartuffe has been a great favorite of mine for years. It's just so witty and so truthful. Moliere's satire hits religious hypocrisy harshly, and that's such a valuable message, even several centuries later. Moreover, Moliere's play isn't anti-religious; there is instead an appeal to true religion and toward the development of virtue. So few writers have ever been as witty as Moliere either. There are so many hilarious scenes here, my favorite being the table scene. And the dialogue throughout it just extraordinarily clever as well, particularly during the exchanges between Orgon and either Cleante or Dorine.

Wilbur's masterful translation just enhances the joys of Moliere's classic play. It's a terribly difficult thing to make the couplets of Neoclassical France tenable to a contemporary audience, but of course, Wilbur has made them so. All of the sharpness, the liveliness of the lines is preserved, making Tartuffe accessible, intelligently, to today's audience. Of course, Wilbur's other translations of Moliere are excellent as well.

Wilbur's translation of Tartuffe is really one that can't be missed. The combination of the master French playwright Moliere with Richard Wilbur, a modern poetic master in his own right, is just superb. Wilbur's Tartuffe is a total pleasure.

Le Dynamiisme De LA Peur Chez Moliere: Une Analyse Socio - Culturelle De Dom Juan, Tartuffe, Et L'Ecole Des Femmes (Romance Monographs, Inc. (Series))

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Le Dynamiisme De LA Peur Chez Moliere: Une Analyse Socio - Culturelle De Dom Juan, Tartuffe, Et L'Ecole Des Femmes (Romance Monographs, Inc. (Series))
Ralph, Jr. Albanese
Manufacturer: Romance Monographs
ProductGroup: Book
Binding: Hardcover

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ASIN: 8439950713

Moliere: Le Tartuffe (French Texts (Focus))

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Moliere: Le Tartuffe (French Texts (Focus))
Moliere
Manufacturer: Duckworth Publishers
ProductGroup: Book
Binding: Paperback

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Woyzeck: Georg Buchner

ASIN: 1853993476

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Moliere takes aim at the hypocrisy of neoclassical France

Le Tartuffe Ou L'Imposteur
Moliere , and Mortimer H. Kassel
Manufacturer: Hestia Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 1878417215

Book Description

Molière's satirical examination of religious hypocricy: a controversial classic

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Moliere takes aim at the hypocrisy of neoclassical France.......2004-09-15

I often taught Moliere's "Tartuffe" as an example of the neoclassical form of comedy in contrast to the romantic comedy represented by Shakespeare. We would read "Twelfth Night," a play set in a faraway exotic land where the point was simply romance, and then turn to "Tartuffe," where the contemporary society becomes one of the primary concerns of the comic dramatist. During the neoclassical period society was concerned with norms of behavior, and in a Moliere play you usually find a eccentric individual, out of step with the rest of society, who is laughed back to the right position. Moliere was concerned with social problems, which was while this particular play, dealing with the issue of hypocrisy, was banned for years. Keep in mind that originally hypocrisy was specific to religion, although today it can be used with regards to politics, sex, or even uncontroversial subjects. Consequently, the idea of characterizing Tartuffe as an imposter, would miss the point; he might be misrepresenting himself, but he is, indeed, Tartuffe.

The central character in "Tartuffe" is not the title character, but Orgon, a reasonably well to do man of Paris who is married to his second wife, Elmire, and has a song, Damis, and a daughter, Mariane, from his first marriage. He also has the misfortune of living with his mother, Madame Pernelle. Tartuffe is a religious hypocrite who worms his way into Orgon's confidence in order to take him for everything he is worth. Orgon is completely duped, and disinherits his son when Damis tries to prove Tartuffe is fraud. The other key character in the play is Dorine, who is Mariane's maid and the smartest person in the house, which allows her to both manipulate the action and comment on the play.

There are three crucial scenes in the play that readers should appreciate, even if it will not be covered on a future exam. The first is the opening scene (in Moliere's comedies the scene changes every time a character enters or exits) where we are introduced to Madame Pernelle, who promptly proceeds to criticize everybody in Orgon's household while praising Tartuffe. The result is that because she is so obnoxious, we have a low opinion of Tartuffe before he ever appears on stage. So, in addition to being a funny scene, it serves an important function in terms of the play. The second key scene comes when Orgon realizes he has been duped, and instead of continuing to ridicule his central character, Moliere turns him into a sympathetic figure. We laugh at Orgon while he does not have a clue as to his culpability in his coming demise, but once he starts to lose everything we stop laughing.

The final scene of interest, for mostly reasons external to the story, is the conclusion, where Moliere pulls what could only be called a "roi ex machina." This is because instead of dropping a god out of the sky in the manner of Euripides, Moliere has a representatative of the King arrive to set everything to rights. Tartuffe might pull the wool over the eyes of ordinary folk, but the King--in this case, King Louis XIV--is not fooled. The play "Tartuffe" was banned by the clergy after its first performance because it was seen as a thinly veiled attack against the Jansenists (a rather puritanical Catholic sect), and Moliere literally spent years rewriting it before the King gave his approval. It is not surprising that the playwright makes his patron the hero at the end of the play.

If you are only going to read (or teach) one Moliere play, then my choice would be "Tartuffe," even over "The Misanthrope," "The Imaginary Invalid," or "The Bourgeois Gentleman." I would argue that "Tartuffe" is the paradigmatic Moliere play, which best represents his comic techniques while also having a historical context that speaks to the tenor of the times in which he wrote. I also think it is the funniest of his plays.

Der Tartuffe oder Der Betrüger / Le Tartuffe ou l'imposteur. Komödie in fünf Aufzügen.

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Der Tartuffe oder Der Betrüger / Le Tartuffe ou l'imposteur. Komödie in fünf Aufzügen.
Moliere
Manufacturer: Reclam, Ditzingen
ProductGroup: Book
Binding: Paperback

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ASIN: 3150083532

Four Comedies: The School for Wives; The Misanthrope; Tartuffe; The Le

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Four Comedies: The School for Wives; The Misanthrope; Tartuffe; The Le
Jean Baptiste Poquelin de Moliere
Manufacturer: Publisher Unknown
ProductGroup: Book
Binding: Hardcover
ASIN: B000UYFNG2

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Le Tartuffe
Moliere
Manufacturer: Pocket
ProductGroup: Book
Binding: Unknown Binding

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Le Tartuffe
Moliere
Manufacturer: LIBRAIRIE HACHETTE
ProductGroup: Book
Binding: Paperback
ASIN: B000UDFKPC

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