Computational Mathematics and Variational Analysis

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Publisher : Springer Nature
ISBN 13 : 3030446255
Total Pages : 564 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Computational Mathematics and Variational Analysis by : Nicholas J. Daras

Download or read book Computational Mathematics and Variational Analysis written by Nicholas J. Daras and published by Springer Nature. This book was released on 2020-06-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Computational Mathematics and Variational Analysis

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Publisher :
ISBN 13 : 9788303044624
Total Pages : 0 pages
Book Rating : 4.0/5 (446 download)

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Book Synopsis Computational Mathematics and Variational Analysis by :

Download or read book Computational Mathematics and Variational Analysis written by and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Techniques of Variational Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387282718
Total Pages : 368 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Techniques of Variational Analysis by : Jonathan Borwein

Download or read book Techniques of Variational Analysis written by Jonathan Borwein and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Variational Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387242767
Total Pages : 1163 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Variational Analysis and Applications by : Franco Giannessi

Download or read book Variational Analysis and Applications written by Franco Giannessi and published by Springer Science & Business Media. This book was released on 2007-03-06 with total page 1163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.

Lectures on Variational Analysis

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Publisher : Springer Nature
ISBN 13 : 3030799115
Total Pages : 223 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Lectures on Variational Analysis by : Asen L. Dontchev

Download or read book Lectures on Variational Analysis written by Asen L. Dontchev and published by Springer Nature. This book was released on 2022-02-04 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational Analysis and Aerospace Engineering

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Publisher : Springer
ISBN 13 : 3319456806
Total Pages : 535 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Variational Analysis and Aerospace Engineering by : Aldo Frediani

Download or read book Variational Analysis and Aerospace Engineering written by Aldo Frediani and published by Springer. This book was released on 2016-12-27 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.

Computational Mathematics, Numerical Analysis and Applications

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Publisher : Springer
ISBN 13 : 331949631X
Total Pages : 254 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Computational Mathematics, Numerical Analysis and Applications by : Mariano Mateos

Download or read book Computational Mathematics, Numerical Analysis and Applications written by Mariano Mateos and published by Springer. This book was released on 2017-08-03 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.

Variational Analysis and Generalized Differentiation in Optimization and Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1441904379
Total Pages : 237 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Variational Analysis and Generalized Differentiation in Optimization and Control by : Regina S. Burachik

Download or read book Variational Analysis and Generalized Differentiation in Optimization and Control written by Regina S. Burachik and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational Analysis in Sobolev and BV Spaces

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Publisher : Society for Industrial and Applied Mathematics
ISBN 13 : 9780898716009
Total Pages : 650 pages
Book Rating : 4.7/5 (16 download)

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Book Synopsis Variational Analysis in Sobolev and BV Spaces by : Hedy Attouch

Download or read book Variational Analysis in Sobolev and BV Spaces written by Hedy Attouch and published by Society for Industrial and Applied Mathematics. This book was released on 1987-01-01 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book is excellent for graduate-level courses devoted to variational analysis, optimization, and partial differential equations (PDEs). It provides readers with a complete guide to problems in these fields as well as a detailed presentation of the most important tools and methods of variational analysis. New trends in variational analysis are also presented, along with recent developments and applications in this area. It contains several applications to problems in geometry, mechanics, elasticity, and computer vision, along with a complete list of references. The book is divided into two parts. In Part I, classical Sobolev spaces are introduced and the reader is provided with the basic tools and methods of variational analysis and optimization in infinite dimensional spaces, with applications to classical PDE problems. In Part II, BV spaces are introduced and new trends in variational analysis are presented.

Variational Analysis in Sobolev and BV Spaces

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Publisher : SIAM
ISBN 13 : 1611973481
Total Pages : 793 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Variational Analysis in Sobolev and BV Spaces by : Hedy Attouch

Download or read book Variational Analysis in Sobolev and BV Spaces written by Hedy Attouch and published by SIAM. This book was released on 2014-10-02 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision.

Discrete Variational Problems with Interfaces

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Publisher : Cambridge University Press
ISBN 13 : 100929878X
Total Pages : 275 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Discrete Variational Problems with Interfaces by : Roberto Alicandro

Download or read book Discrete Variational Problems with Interfaces written by Roberto Alicandro and published by Cambridge University Press. This book was released on 2024-01-31 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic presentation of discrete-to-continuum results and methods, offering new perspectives on intrinsically discrete problems.

Fixed Point Theory, Variational Analysis, and Optimization

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Publisher : CRC Press
ISBN 13 : 1482222086
Total Pages : 368 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Fixed Point Theory, Variational Analysis, and Optimization by : Saleh Abdullah R. Al-Mezel

Download or read book Fixed Point Theory, Variational Analysis, and Optimization written by Saleh Abdullah R. Al-Mezel and published by CRC Press. This book was released on 2014-06-03 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis-fixed point theory, variational inequalities, and vector optimization-but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions invol

Variational Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642024319
Total Pages : 736 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Variational Analysis by : R. Tyrrell Rockafellar

Download or read book Variational Analysis written by R. Tyrrell Rockafellar and published by Springer Science & Business Media. This book was released on 2009-06-26 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational Analysis and Aerospace Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 0387958576
Total Pages : 527 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Variational Analysis and Aerospace Engineering by : Giuseppe Buttazzo

Download or read book Variational Analysis and Aerospace Engineering written by Giuseppe Buttazzo and published by Springer Science & Business Media. This book was released on 2009-08-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Variational Analysis and Aerospace Engineering conference held in Erice, Italy in September 2007 at International School of Mathematics, Guido Stampacchia provided a platform for aerospace engineers and mathematicians to discuss the problems requiring an extensive application of mathematics. This work contains papers presented at the workshop.

Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

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Publisher : Springer Science & Business Media
ISBN 13 : 1461424356
Total Pages : 462 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design by : Giuseppe Buttazzo

Download or read book Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design written by Giuseppe Buttazzo and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented at the Variational Analysis and Aerospace Engineering Workshop II held in Erice, Italy in September 2010 at the International School of Mathematics "Guido Stampacchia". The workshop provided a platform for aerospace engineers and mathematicians (from universities, research centers and industry) to discuss the advanced problems requiring an extensive application of mathematics. The presentations were dedicated to the most advanced subjects in engineering and, in particular to computational fluid dynamics methods, introduction of new materials, optimization in aerodynamics, structural optimization, space missions, flight mechanics, control theory and optimization, variational methods and applications, etc. This book will capture the interest of researchers from both academia and industry.

Variational Analysis of Regular Mappings

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Publisher : Springer
ISBN 13 : 3319642774
Total Pages : 495 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Variational Analysis of Regular Mappings by : Alexander D. Ioffe

Download or read book Variational Analysis of Regular Mappings written by Alexander D. Ioffe and published by Springer. This book was released on 2017-10-26 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with non-differentiable and multi-valued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected applications. Variational Analysis of Regular Mappings is aimed at graduate students and researchers in nonlinear and functional analysis, especially those working in areas close to optimization and optimal control, and will be suitable to anyone interested in applying new concepts and ideas to operations research, control engineering and numerical analysis.

Variational Analysis and Generalized Differentiation in Optimization and Control

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Author :
Publisher :
ISBN 13 : 9781441904386
Total Pages : 244 pages
Book Rating : 4.9/5 (43 download)

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Book Synopsis Variational Analysis and Generalized Differentiation in Optimization and Control by :

Download or read book Variational Analysis and Generalized Differentiation in Optimization and Control written by and published by . This book was released on 2011-04-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: