Analytic Functions Smooth up to the Boundary, Sergei V. Khrushchev; Nikolai A. Shirokov
Автор: Mohamed A. El-Hodiri Название: Extrema of Smooth Functions ISBN: 3642767958 ISBN-13(EAN): 9783642767951 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a fairly complete account of the theory of optimization when both maximands and constraints are smooth functions of a finite number of variables. It also provides a rigorous introduction to variational problems and surveys the theory of infinite-dimensional optimization.
Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.
Автор: Feckan, Michal Название: Poincare-Andronov-Melnikov Analysis for Non-Smooth Systems ISBN: 012804294X ISBN-13(EAN): 9780128042946 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Poincar -Andronov-Melnikov Analysis for Non-Smooth Systems is devoted to the study of bifurcations of periodic solutions for general n-dimensional discontinuous systems. The authors study these systems under assumptions of transversal intersections with discontinuity-switching boundaries. Furthermore, bifurcations of periodic sliding solutions are studied from sliding periodic solutions of unperturbed discontinuous equations, and bifurcations of forced periodic solutions are also investigated for impact systems from single periodic solutions of unperturbed impact equations. In addition, the book presents studies for weakly coupled discontinuous systems, and also the local asymptotic properties of derived perturbed periodic solutions.
The relationship between non-smooth systems and their continuous approximations is investigated as well. Examples of 2-, 3- and 4-dimensional discontinuous ordinary differential equations and impact systems are given to illustrate the theoretical results. The authors use so-called discontinuous Poincar mapping which maps a point to its position after one period of the periodic solution. This approach is rather technical, but it does produce results for general dimensions of spatial variables and parameters as well as the asymptotical results such as stability, instability, and hyperbolicity.
Extends Melnikov analysis of the classic Poincar and Andronov staples, pointing to a general theory for freedom in dimensions of spatial variables and parameters as well as asymptotical results such as stability, instability, and hyperbolicity
Presents a toolbox of critical theoretical techniques for many practical examples and models, including non-smooth dynamical systems
Provides realistic models based on unsolved discontinuous problems from the literature and describes how Poincar -Andronov-Melnikov analysis can be used to solve them
Investigates the relationship between non-smooth systems and their continuous approximations
Автор: Mario Bernardo; Chris Budd; Alan Richard Champneys Название: Piecewise-smooth Dynamical Systems ISBN: 184996548X ISBN-13(EAN): 9781849965484 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level.
Автор: Michel Bercovier; Tanya Matskewich Название: Smooth B?zier Surfaces over Unstructured Quadrilateral Meshes ISBN: 3319638408 ISBN-13(EAN): 9783319638409 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM).
Автор: Rajnikant Sinha Название: Smooth Manifolds ISBN: 813222955X ISBN-13(EAN): 9788132229551 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry.
Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.
Автор: Ieke Moerdijk; Gonzalo E. Reyes Название: Models for Smooth Infinitesimal Analysis ISBN: 038797489X ISBN-13(EAN): 9780387974897 Издательство: Springer Рейтинг: Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces.
Автор: Sinha Rajinikant Название: Smooth Manifolds ISBN: 8132221036 ISBN-13(EAN): 9788132221036 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry.
Описание: This text represents a sort of customary or ordinal for the English court chapel in 1449, intended to govern the life of the 49 people, including choirboys, who were the staff of this peripatetic establishment. It was based on earlier drafts, and was sent to Alvaro Vaz d`Almada, a knight of the Garter, for the use of Afonso V of Portugal; it includes a copy of the English coronation rites.
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