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Author: Jonathan Borwein Publisher: Springer Science & Business Media ISBN: 0387282718 Category : Mathematics Languages : en Pages : 368
Book Description
Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduction to the topic
Author: Jonathan Borwein Publisher: Springer Science & Business Media ISBN: 0387282718 Category : Mathematics Languages : en Pages : 368
Book Description
Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduction to the topic
Author: R. Tyrrell Rockafellar Publisher: Springer Science & Business Media ISBN: 3642024319 Category : Mathematics Languages : en Pages : 747
Book Description
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
Author: Boris S. Mordukhovich Publisher: Springer Science & Business Media ISBN: 3540312471 Category : Mathematics Languages : en Pages : 598
Book Description
Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Author: Dimitrios C. Kravvaritis Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110647451 Category : Mathematics Languages : en Pages : 384
Book Description
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Author: Dumitru Motreanu Publisher: Springer Science & Business Media ISBN: 9781402013850 Category : Mathematics Languages : en Pages : 400
Book Description
This book reflects a significant part of authors' research activity dur ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.
Author: Boris S. Mordukhovich Publisher: Springer Science & Business Media ISBN: 3540312463 Category : Mathematics Languages : en Pages : 630
Book Description
Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Author: Regina S. Burachik Publisher: Springer Science & Business Media ISBN: 1441904379 Category : Mathematics Languages : en Pages : 237
Book Description
This book presents some 20 papers describing recent developments in advanced variational analysis, optimization, and control systems, especially those based on modern variational techniques and tools of generalized differentiation.
Author: Asen L. Dontchev Publisher: Springer Nature ISBN: 3030799115 Category : Mathematics Languages : en Pages : 223
Book Description
This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. Applications of variational analysis are interdisciplinary, ranging from financial planning to steering a flying object. The book is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A typical reader of the book should be familiar with multivariable calculus and linear algebra. Some basic knowledge in optimization, control, and elementary functional analysis is desirable, but all necessary background material is included in the book.
Author: Donald R. Smith Publisher: Courier Corporation ISBN: 9780486404554 Category : Mathematics Languages : en Pages : 406
Book Description
Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.
Author: Hans Petter Langtangen Publisher: Springer Nature ISBN: 3030237885 Category : Mathematics Languages : en Pages : 395
Book Description
This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.
Author: Jonathan Borwein
Author: Jonathan Borwein
Author: R. Tyrrell Rockafellar
Author: Boris S. Mordukhovich
Author: Dimitrios C. Kravvaritis
Author: Dumitru Motreanu
Author: Boris S. Mordukhovich
Author: Regina S. Burachik
Author: Asen L. Dontchev
Author: Donald R. Smith
Author: Hans Petter Langtangen