8 edition of **Nonlinear singular perturbation phenomena** found in the catalog.

- 245 Want to read
- 31 Currently reading

Published
**1984** by Springer-Verlag in New York .

Written in English

- Boundary value problems -- Numerical solutions.,
- Singular perturbations (Mathematics)

**Edition Notes**

Statement | K.W. Chang, F.A. Howes. |

Series | Applied mathematical sciences ;, v. 56, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 56. |

Contributions | Howes, Frederick A., 1948- |

Classifications | |
---|---|

LC Classifications | QA1 .A647 vol. 56, QA379 .A647 vol. 56 |

The Physical Object | |

Pagination | viii, 180 p. : |

Number of Pages | 180 |

ID Numbers | |

Open Library | OL2851678M |

ISBN 10 | 038796066X |

LC Control Number | 84014014 |

tion by the general perturbation theory such as regular perturbation theory and singular perturbation theory as well as by homotopy perturbation method. The problem of an incompressible viscous ow i.e. Blasius equation over a at plate is presented in this research project. This is a non-linear . This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uniformly as the parameter tends toward some limiting value of interest. The author considers and solves a variety of problems, mostly for ordinary differential equations. He constructs (approximate) solutions for oscillation problems, . Notes on Perturbation Techniques for ODEs James A. Tzitzouris The idea behind the perturbation method is a simple one. Faced with a problem that we cannot solve exactly, but that is close (in some sense) to an auxiliary problem that we can solve exactly, aFile Size: KB. Specific Bifurcation Phenomena Asymptotic Expansions and Singular Perturbations Some Singular Perturbation Problems of Classical Mathematical Physics Notes Part III Analysis in the Large Chapter 5 Global Theories for General Nonlinear Operators Linearization Finite-Dimensional Approximations.

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Nonlinear Singular Perturbation Phenomena Theory and Applications. Authors (view affiliations) K. Chang; F. Howes; Book. About this book. the recent results on the exist ence and asymptotic behavior of solutions of certain classes of singularly perturbed nonlinear boundary value problems.

On the other, we hope to raise along the. Nonlinear Singular Perturbation Phenomena on *FREE* shipping on qualifying offers.

Nonlinear Singular Perturbation Phenomena Theory and Applications. Authors: Chang, K. W., Howes, F. Free Preview. : Nonlinear Singular Perturbation Phenomena: Theory And Applications (Applied Mathematical Sciences) () by Chang, K.

and a great selection of similar New, Used and Collectible Nonlinear singular perturbation phenomena book available now at great Range: $ - $ Get this from a library. Nonlinear singular perturbation phenomena: theory and applications.

[K W Chang; Frederick A Howes]. Nonlinear Singular Perturbation Phenomena: Theory And Applications (Applied Mathematical Sciences) Softcover reprint of the original 1st ed. Edition by K. Chang (Author) › Visit Amazon's K. Chang Page. Find all the books, read about the author, and more.

Cited by: O'MalleyJr., R. E.: ‘On the Simultaneous Use of Asymptotic and Numerical Methods to Solve Nonlinear Two Point Problems with Boundary and Interior Layers’, in U. and R. l (eds.), Numerical Boundary Value ODEs, Birkhauser, Boston, pp. – (). Google ScholarAuthor: R. O'MalleyJr. Get this from a library.

Nonlinear Singular Perturbation Phenomena: Theory and Applications. [K W Chang; F A Howes] -- Our purpose in writing this monograph is twofold.

On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic behavior of solutions of certain. book Nonlinear singular perturbation phenomena: theory and application K. W Chang, Frederick A Howes Published in in New York NY) by SpringerCited by: Among these are the resonance phenomena and singular perturbation phenomena, which both center on the problem of selecting the correct limiting solution.

There are many problems of interest, especially in chemical engineering, in which the stability inequality fails to hold and yet one expects solutions of (P 1) to behave qualitatively. Introduction to singular perturbation methods Nonlinear oscillations This text is part of a set of lecture notes written by A.

Aceves, N. Ercolani, C. Jones, J. Lega & J. Moloney, for a summer school held in Cork, Ireland, from to The links below will take you to online overviews of some of the concepts used Size: KB. "The book is concerned with singular perturbation phenomena for ordinary and partial differential equations.

Instead of presenting general theory, the author shows how various perturbation techniques work in concrete examples Applications are quite numerous and include fluid dynamics, solid mechanics, and plasma physicsBrand: Birkhäuser Basel.

Nonlinear Singular Perturbation Phenomena: Theory and Application (K. Chang and F. Howes)Author: Jr. O’Malley. Share. About this book. Publisher Summary. This chapter presents a singular Fourier problem with nonlinear boundary condition.

It reviews the third Fourier problem with nonlinear radiation-type boundary condition for the class of singular parabolic operators depending on a real parameter equation L k [u] = 0 describes a diffusion with radial symmetry in (k + 1)-space dimensions where k is a positive.

Purchase Nonlinear Phenomena in Mathematical Sciences - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. The authors are particularly interested in nonlinear problems, which have gone little-examined so far in literature dedicated to singular perturbations. The treatment presented here combines successful results from functional analysis, singular perturbation theory, partial differential equations, and evolution equations.

In mathematics, a singular perturbation problem is a problem containing a small parameter that cannot be approximated by setting the parameter value to zero.

More precisely, the solution cannot be uniformly approximated by an asymptotic expansion ≈ ∑ = ()as →.Here is the small parameter of the problem and () are a sequence of functions of of increasing order, such as ().

When the delay parameter is of small order of the singular perturbation pa- rameter i.e., (δ. This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control.

() On a difference scheme of exponential type for a nonlinear singular perturbation problem. Numerische Mathematik() OnM-functions and nonlinear relaxation by: J. Murray, Lectures on Nonlinear Differential-Equation Models in Biology, Oxford U.

P.,ix+ pp., index; $ This is a collection of deterministic models of problems which come from the biological sciences, for the most part. The five chapters of the book take up the. Read 5 answers by scientists with 4 recommendations from their colleagues to the question asked by S.

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Perturbation Theory and Averaging. The Perturbation Method. Perturbation on the Infinite Level. Periodic Perturbation of Autonomous Systems.

Averaging. Weekly Nonlinear Second-Order Oscillators. General Averaging. Singular Perturbations. The Standard Singular Perturbation Model. Time-Scale Properties of the Standard Model.

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature.

Nonlinear dynamical systems, describing changes in variables. for nonlinear problems. In these notes we will focus on methods for the construction of asymptotic solutions, and we will not discuss in detail the existence of solutions close to the asymptotic solution.

Regular and singular perturbation problems It is useful to make an imprecise distinction between regular perturbation problems.

The Perturbation Method. Perturbation on the Infinite Level. Periodic Perturbation of Autonomous Systems. Averaging. Weekly Nonlinear Second-Order Oscillators. General Averaging. Singular Perturbations. The Standard Singular Perturbation Model. Time-Scale Properties of the Standard Model. Singular Perturbation on the Infinite Interval/5(4).

A Nonlinear Singular Parabolic Initial Boundary Value Problem On the Monotone Iterative Technique for Nonlinear Volterra Type Integro-Differential Equation in Banach Space The Time Optimal Control Theory of Nonlinear Systems of Neutral Type A Singular Perturbation Approach to Abstract Volterra Equations A general scheme for the numerical solution of nonlinear singular perturbation problems using nonpolynomial spline basis is proposed in the paper.

The special non-equidistant formulation of mesh takes into account the boundary and interior layer structures. The proposed scheme is almost fourth order accurate and applicable to both singular and nonsingular : Navnit Jha. Share this page. Nonlinear Systems, 3rd.

Research: Nonlinear Control; Singular perturbation Methods. Books. Nonlinear Control Nonlinear Systems; Singular Perturbation Methods in Control: Analysis. Homepage of. Nonlinear Systems Third Edition Prentice Hall, ISBN Hassan K.

Khalil The author is the winner of the. IFAC Control. New To This Edition. Updated to include subjects which have proven useful in nonlinear control design in recent years—New in the 3rd edition are: expanded treatment of passivity and passivity-based control; integral control, high-gain feedback, recursive methods, optimal stabilizing control, control Lyapunov functions, and er, bifurcation is introduced in the context of.

Nonlinear dispersive wave equations provide excellent examples of infinite dimensional dynamical systems which possess diverse and fascinating phenomena including solitary waves and wave trains, the generation and propagation of oscillations, the formation of singularities, the persistence of homoclinic orbits, the existence of temporally chaotic waves in deterministic Cited by: Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis.

For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the.

Boundary Layers and Singular Perturbation Lectures 16 and 17 Boundary Layers and Singular Perturbation A Regular Perturbation In some physical problems, the solution is dependent on a parameter K.

When the parameter K is very small, it is natural to expect that the solution not be very different from the one with K set to Size: KB. 16 Singular perturbations The singular perturbation is the bogeyman of applied mathematics.

The fundamental prob-lem is to ask: when can you neglect a term in a continuous equation. The answer is not always obvious and, amongst other things, this was the reason why early attempts to un-derstand the theory of ight failed so Size: KB. Presents current topics in applied mathematics such as singular perturbation, nonlinear wave propagation, bifurcation, similarity methods, and the numerical solution of partial differential equations.

It emphasizes the interdependency of mathematics and its application to physical phenomena, and is written in a style accessible to readers with a wide range of interests and.

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.

@article{osti_, title = {Automatic generation of parallel programs using nonlinear singular perturbation theory}, author = {Russo, M.F.}, abstractNote = {The solution of scientific mathematical models often exhibit regions of nonuniform behavior. This behavior can result from the existence of phenomena occurring at widely separated spacial or temporal scales.

Phase Plane Phenomena Linear Systems Nonlinear Systems Bifurcations Reaction Kinetics Pathogens 3. Perturbation Methods and Asymptotic Expansions Regular Perturbation Singular Perturbation Boundary Layer Analysis Initial Layers The WKB Approximation Author: J.

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