Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.
Описание: 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.
Автор: Maitine Bergounioux, Gabriel Peyr?, Christoph Schn Название: Variational Methods: In Imaging and Geometric Control ISBN: 3110439239 ISBN-13(EAN): 9783110439236 Издательство: Walter de Gruyter Рейтинг: Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents:Part ISecond-order decomposition model for image processing: numerical experimentationOptimizing spatial and tonal data for PDE-based inpaintingImage registration using phase?amplitude separationRotation invariance in exemplar-based image inpaintingConvective regularization for optical flowA variational method for quantitative photoacoustic tomography with piecewise constant coefficientsOn optical flow models for variational motion estimationBilevel approaches for learning of variational imaging modelsPart IINon-degenerate forms of the generalized Euler?Lagrange condition for state-constrained optimal control problemsThe Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controlsControllability of Keplerian motion with low-thrust control systemsHigher variational equation techniques for the integrability of homogeneous potentialsIntroduction to KAM theory with a view to celestial mechanicsInvariants of contact sub-pseudo-Riemannian structures and Einstein?Weyl geometryTime-optimal control for a perturbed Brockett integratorTwist maps and Arnold diffusion for diffeomorphismsA Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part IIndex
Автор: Aldo Frediani; Bijan Mohammadi; Olivier Pironneau; Название: Variational Analysis and Aerospace Engineering ISBN: 3319833464 ISBN-13(EAN): 9783319833460 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Molding direction constraints in structural optimization via a level-set method (Gr egoire Allaire, Franc, ois Jouve and Georgios Michailidis).- Adaptive Control for Weakly Minimum Phase Linear Infinite-Dimensional Systems in Hilbert Space Using a Zero Filter (Mark J. Balas, Susan A. Frost).- Aeroelasticity of the PrandtlPlane (Rauno Cavallaro, Rocco Bombardieri, Simone Silvani, Luciano Demasi and Giovanni Bernardini).- HyPSim: a simulation tool for hybrid aircraft performance analysis (Vittorio Cipolla, Fabrizio Oliviero).- Evolutionary and Heuristic Methods Applied to Problems in Optimal Control (Bruce A. Conway).- Thin-walled beams: asymptotic models and applications (Cesare Davini, Lorenzo Freddi and Rpberto Paroni).- The Variational Approach to Fracture (Gianpietro Del Piero).- Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings (Luciano Demasi, Giovanni Monegato, and Rauno Cavallaro).- On aerodynamic design with a POD surrogate model (Valentina Dolci, Renzo Arina).- Trust Region Filter-SQP Method for Multi-Fidelity Wing Aerostructural Optimization (Ali Elham and Michel J.L. van Tooren).- Tensegrity rings for deployable space antennas (Pier Luigi Ganga, Andrea Micheletti, Paolo Podio-Guidugli, Lucio Scolamiero, Gunnar Tibert, and Valfredo Zolesi).- Data analytic UQ cascade (Bijan Mohammadi).- Aerodynamic design of "box blade" and "non-planar" wind turbines (Luigi Molea, Emanuele Di Vitantonio, Aldo Frediani).- Numerical Study of a Monolithic Fluid-Structure Formulation (Olivier Pironneau).- A New, General Neighboring Optimal Guidance for Aerospace Vehicles (Mauro Pontani).- State-of-the-art of optimum shape design methods for industrial applications and beyond (Bruno Stoufflet).- Variational Analysis and Euler Equation of the Optimum Propeller Problem (Francesco Torrigiani, Aldo Frediani, Antonio Dipace).
Описание: 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.
Автор: Aram Arutyunov, Valeri Obukhovskii Название: Convex and Set-Valued Analysis ISBN: 3110460289 ISBN-13(EAN): 9783110460285 Издательство: Walter de Gruyter Рейтинг: Цена: 11148.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, properties of convex cones in finite- and infinite-dimensional spaces are discussed. The second part covers some important parts of set-valued analysis. There the properties of the Hausdorff metric and various continuity concepts of set-valued maps are considered. The great attention is paid also to measurable set-valued functions, continuous, Lipschitz and some special types of selections, fixed point and coincidence theorems, covering set-valued maps, topological degree theory and differential inclusions. Contents: PrefacePart I: Convex analysisConvex sets and their propertiesThe convex hull of a set. The interior of convex setsThe affine hull of sets. The relative interior of convex setsSeparation theorems for convex setsConvex functionsClosedness, boundedness, continuity, and Lipschitz property of convex functionsConjugate functionsSupport functionsDifferentiability of convex functions and the subdifferentialConvex conesA little more about convex cones in infinite-dimensional spacesA problem of linear programmingMore about convex sets and convex hullsPart II: Set-valued analysisIntroduction to the theory of topological and metric spacesThe Hausdorff metric and the distance between setsSome fine properties of the Hausdorff metricSet-valued maps. Upper semicontinuous and lower semicontinuous set-valued mapsA base of topology of the spaceHc(X)Measurable set-valued maps. Measurable selections and measurable choice theoremsThe superposition set-valued operatorThe Michael theorem and continuous selections. Lipschitz selections. Single-valued approximationsSpecial selections of set-valued mapsDifferential inclusionsFixed points and coincidences of maps in metric spacesStability of coincidence points and properties of covering mapsTopological degree and fixed points of set-valued maps in Banach spacesExistence results for differential inclusions via the fixed point methodNotationBibliographyIndex
Автор: Qamrul Hasan Ansari; Elisabeth K?bis; Jen-Chih Yao Название: Vector Variational Inequalities and Vector Optimization ISBN: 3319630482 ISBN-13(EAN): 9783319630489 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems.
Автор: Alexey F. Izmailov; Mikhail V. Solodov Название: Newton-Type Methods for Optimization and Variational Problems ISBN: 3319353845 ISBN-13(EAN): 9783319353845 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents state-of-the-art theoretical analysis of fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems, and offers a set of tools for the unified treatment of various algorithms.
Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.
Описание: This systematic and comprehensive account of asymptotic sets and functions develops a broad and useful theory in the areas of optimization and variational inequalities.
Автор: Qamrul Hasan Ansari; Elisabeth K?bis; Jen-Chih Yao Название: Vector Variational Inequalities and Vector Optimization ISBN: 3319874624 ISBN-13(EAN): 9783319874623 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Поставка под заказ.
Описание: This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.
Автор: Andrej Cherkaev Название: Variational Methods for Structural Optimization ISBN: 1461270383 ISBN-13(EAN): 9781461270386 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.
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