Handbook of Nonlinear Partial Differential Equations PDF Download

Author: Andrei D. Polyanin
Publisher: CRC Press
ISBN: 1135440816
Category : Mathematics
Languages : en
Pages : 835

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Book Description
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Author: Adil Bagirov
Publisher: Springer
ISBN: 3319081144
Category : Business & Economics
Languages : en
Pages : 377

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Book Description
This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts: 1. convex and nonconvex analysis and the theory of NSO; 2. test problems and practical applications; 3. a guide to NSO software. The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.

Author: George Bernard Dantzig
Publisher: American Mathematical Soc.
ISBN: 9780821896815
Category : Mathematics
Languages : en
Pages : 444

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Book Description

Author: Claude Lemarechal
Publisher: Elsevier
ISBN: 1483188760
Category : Technology & Engineering
Languages : en
Pages : 195

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Book Description
Nonsmooth Optimization contains the proceedings of a workshop on non-smooth optimization (NSO) held from March 28 to April 8,1977 in Austria under the auspices of the International Institute for Applied Systems Analysis. The papers explore the techniques and theory of NSO and cover topics ranging from systems of inequalities to smooth approximation of non-smooth functions, as well as quadratic programming and line searches. Comprised of nine chapters, this volume begins with a survey of Soviet research on subgradient optimization carried out since 1962, followed by a discussion on rates of convergence in subgradient optimization. The reader is then introduced to the method of subgradient optimization in an abstract setting and the minimal hypotheses required to ensure convergence; NSO and nonlinear programming; and bundle methods in NSO. A feasible descent algorithm for linearly constrained least squares problems is described. The book also considers sufficient minimization of piecewise-linear univariate functions before concluding with a description of the method of parametric decomposition in mathematical programming. This monograph will be of interest to mathematicians and mathematics students.

Author: Kim C. Border
Publisher: Cambridge University Press
ISBN: 9780521388085
Category : Business & Economics
Languages : en
Pages : 144

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Book Description
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

Author: Max D. Gunzburger
Publisher: Cambridge University Press
ISBN: 9780521096225
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Incompressible computational fluid dynamics is an emerging and important discipline, with numerous applications in industry and science. Its methods employ rigourous mathematical analysis far beyond what is presently possible for compressible flows. Vortex methods, finite elements, and spectral methods are emphasised. Contributions from leading experts in the various sub-fields portray the wide-ranging nature of the subject. The book provides an entrée into the current research in the field. It can also serve as a source book for researchers and others who require information on methods and techniques.

Author: Jianhong Wu
Publisher: Springer Science & Business Media
ISBN: 1461240506
Category : Mathematics
Languages : en
Pages : 441

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Book Description
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

Author: Roland Glowinski
Publisher:
ISBN: 9781107096073
Category : MATHEMATICS
Languages : en
Pages : 472

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Book Description
A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.

Author: J.-B. Hiriart-Urruty
Publisher: Elsevier
ISBN: 0080872409
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics. The main topics covered are: calculations of variations and nonlinear elasticity, optimal control, analysis and optimization in problems dealing with nondifferentiable data, duality techniques, algorithms in mathematical programming and optimal control.

Author: Jean Lemaître
Publisher:
ISBN: 9782100056620
Category :
Languages : fr
Pages : 544

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Book Description
Elasticité, thermoélasticité, viscoélasticité, plasticité, viscoplasticité, endommagement, fissuration, sont les phénomènes qui déterminent la résistance des solides à la déformation et à la rupture. Grâce aux ordinateurs il est maintenant possible de les introduire dans les calculs de structures simulant la tenue en service des pièces mécaniques. Dans ce but, la Mécanique des matériaux solides expose une méthode moderne de modélisation mathématique du comportement de l'élément de volume macroscopique. Elle s'appuie à la fois sur la connaissance des mécanismes physiques à l'échelle de la microstructure (chapitre 1), sur le formalisme de la thermodynamique des processus irréversibles (chapitre 2) et sur les techniques d'expérimentation et d'identification à l'échelle macroscopique (chapitre 3). Chaque type de comportement est étudié séparément dans les chapitres 4 à 8 où, après une description des aspects phénoménologiques, la formulation des lois de comportement est présentée sous une forme unifiée. L'identification des coefficients caractéristiques est donnée pour de nombreux métaux et alliages, polymères, composites, bétons et bois. Enfin, chacun de ces chapitres contient quelques éléments sur les méthodes de calculs de structures associées, principalement la méthode des éléments finis en élasticité, plasticité, viscoplasticité, et les méthodes de calculs d'amorçage et de propagation des fissures. L'ouvrage s'adresse aux élèves-ingénieurs, étudiants de 2e et 3e cycles, chercheurs, aux enseignants, aux ingénieurs d'essais, de contrôle de bureaux d'études ou de bureaux de calculs, mécaniciens des solides, numériciens, métallurgistes...