Nonlinear Differential Problems With Smooth And Nonsmooth Constraints

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Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints
  • Author : Dumitru Motreanu
  • Publisher : Academic Press
  • Release Date : 2018-02-05
  • Total pages : 362
  • ISBN : 9780128133934
  • File Size : 28,5 Mb
  • Total Download : 713
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Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references. Builds from functional analysis and operator theory, to nonlinear elliptic systems and control problems Outlines the evolution of the main ideas of nonlinear analysis and their roots in classical mathematics Presented with numerous end-of-chapter exercises and sophisticated open problems Illustrated with pertinent industrial and engineering numerical examples and applications Accompanied by hundreds of curated references, saving readers hours of research in conducting literature analysis

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints
  • Author : Dumitru Motreanu
  • Publisher : Academic Press
  • Release Date : 2018-02-12
  • Total pages : 362
  • ISBN : 0128133864
  • File Size : 11,5 Mb
  • Total Download : 873
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Download Nonlinear Differential Problems with Smooth and Nonsmooth Constraints in PDF, Epub, and Kindle

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references. Builds from functional analysis and operator theory, to nonlinear elliptic systems and control problems Outlines the evolution of the main ideas of nonlinear analysis and their roots in classical mathematics Presented with numerous end-of-chapter exercises and sophisticated open problems Illustrated with pertinent industrial and engineering numerical examples and applications Accompanied by hundreds of curated references, saving readers hours of research in conducting literature analysis

Non-Smooth and Complementarity-Based Distributed Parameter Systems

Non-Smooth and Complementarity-Based Distributed Parameter Systems
  • Author : Michael Hintermüller
  • Publisher : Springer Nature
  • Release Date : 2021
  • Total pages : 518
  • ISBN : 9783030793937
  • File Size : 55,7 Mb
  • Total Download : 779
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Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. Other goals include the realization and further advancement of these concepts in the context of robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems, as well as their validation in the context of complex applications. Areas for which applications are considered include optimal control of multiphase fluids and of superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters are written by leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019.

Problems of Nonlinear Mechanics and Physics of Materials

Problems of Nonlinear Mechanics and Physics of Materials
  • Author : Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman
  • Publisher : Springer
  • Release Date : 2018-07-31
  • Total pages : 527
  • ISBN : 9783319922348
  • File Size : 27,8 Mb
  • Total Download : 170
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This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Nonlinear Equations and Spectral Theory

Nonlinear Equations and Spectral Theory
  • Author : M. S. Birman,Nina Nikolaevna Uraltseva
  • Publisher : American Mathematical Soc.
  • Release Date : 2007
  • Total pages : 268
  • ISBN : 0821890743
  • File Size : 24,5 Mb
  • Total Download : 409
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PDF book entitled Nonlinear Equations and Spectral Theory written by M. S. Birman,Nina Nikolaevna Uraltseva and published by American Mathematical Soc. which was released on 2007 with total hardcover pages 268, the book become popular and critical acclaim.

Advanced Topics in Nonsmooth Dynamics

Advanced Topics in Nonsmooth Dynamics
  • Author : Remco Leine,Vincent Acary,Olivier Brüls
  • Publisher : Springer
  • Release Date : 2018-06-07
  • Total pages : 457
  • ISBN : 9783319759722
  • File Size : 13,9 Mb
  • Total Download : 197
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This book discusses emerging topics in the area of nonsmooth dynamics research, such as numerical methods for nonsmooth systems, impact laws for multi-collisions, nonlinear vibrations and control of nonsmooth systems. It documents original work of researchers at the European Network for NonSmooth Dynamics (ENNSD), which provides a cooperation platform for researchers in the field and promotes research focused on nonsmooth dynamics and its applications. Since the establishment of the network in 2012, six ENNSD symposia have been organized at different European locations. The network brings together 40 specialists from 9 different countries in and outside Europe and a wealth of scientific knowledge has been gathered and developed by this group of experts in recent years. The book is of interest to both new and experienced researchers in the field of nonsmooth dynamics. Each chapter is written in such a way as to provide an introduction to the topic for researchers from other fields.

Optimal Control Via Nonsmooth Analysis

Optimal Control Via Nonsmooth Analysis
  • Author : Philip Daniel Loewen
  • Publisher : American Mathematical Soc.
  • Release Date : 1993
  • Total pages : 112
  • ISBN : 0821869965
  • File Size : 15,9 Mb
  • Total Download : 239
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This book provides a complete and unified treatment of deterministic problems of dynamic optimization, from the classical themes of the calculus of variations to the forefront of modern research in optimal control. At the heart of the presentation is nonsmooth analysis, a theory of local approximation developed over the last twenty years to provide useful first-order information about sets and functions lying beyond the reach of classical analysis. The book includes an intuitive and geometrically transparent approach to nonsmooth analysis, serving not only to introduce the basic ideas, but also to illuminate the calculations and derivations in the applied sections dealing with the calculus of variations and optimal control. Written in a lively, engaging style and stocked with numerous figures and practice problems, this book offers an ideal introduction to this vigorous field of current research. It is suitable as a graduate text for a one-semester course in optimal control or as a manual for self-study. Each chapter closes with a list of references to ease the reader's transition from active learner to contributing researcher.

Neural Information Processing

Neural Information Processing
  • Author : Irwin King,Jun Wang,Laiwan Chan,DeLiang Wang
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-09-26
  • Total pages : 1225
  • ISBN : 9783540464815
  • File Size : 27,5 Mb
  • Total Download : 821
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The three volume set LNCS 4232, LNCS 4233, and LNCS 4234 constitutes the refereed proceedings of the 13th International Conference on Neural Information Processing, ICONIP 2006, held in Hong Kong, China in October 2006. The 386 revised full papers presented were carefully reviewed and selected from 1175 submissions.

Systems with Non-Smooth Inputs

Systems with Non-Smooth Inputs
  • Author : Jürgen Appell,Nguyen Thi Hien,Lyubov Petrova,Irina Pryadko
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2021-03-08
  • Total pages : 288
  • ISBN : 9783110709933
  • File Size : 45,9 Mb
  • Total Download : 148
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Download Systems with Non-Smooth Inputs in PDF, Epub, and Kindle

The authors present a completely new and highly application-oriented field of nonlinear analysis. The work covers the theory of non-smooth input-output systems and presents various methods to non-standard applications in mathematics and physics. A particular focus lies on hysteresis and relay phenomena, electric circuits with diode nonlinearities, and biological systems with constraints.

Lagrangian and Hamiltonian Methods for Nonlinear Control 2003

Lagrangian and Hamiltonian Methods for Nonlinear Control 2003
  • Author : A Astolfi,Francisco Gordillo,A J Van Der Schaft
  • Publisher : Elsevier
  • Release Date : 2003-10-07
  • Total pages : 318
  • ISBN : 0080442781
  • File Size : 16,8 Mb
  • Total Download : 323
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This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods

Proceedings of the Thirteenth International Conference on Management Science and Engineering Management

Proceedings of the Thirteenth International Conference on Management Science and Engineering Management
  • Author : Jiuping Xu,Syed Ejaz Ahmed,Fang Lee Cooke,Gheorghe Duca
  • Publisher : Springer
  • Release Date : 2019-06-19
  • Total pages : 825
  • ISBN : 9783030212483
  • File Size : 11,7 Mb
  • Total Download : 808
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Download Proceedings of the Thirteenth International Conference on Management Science and Engineering Management in PDF, Epub, and Kindle

This book gathers the proceedings of the 13th International Conference on Management Science and Engineering Management (ICMSEM 2019), which was held at Brock University, Ontario, Canada on August 5–8, 2019. Exploring the latest ideas and pioneering research achievements in management science and engineering management, the respective contributions highlight both theoretical and practical studies on management science and computing methodologies, and present advanced management concepts and computing technologies for decision-making problems involving large, uncertain and unstructured data. Accordingly, the proceedings offer researchers and practitioners in related fields an essential update, as well as a source of new research directions.

Large Scale Optimization

Large Scale Optimization
  • Author : William W. Hager,D.W. Hearn,Panos M. Pardalos
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • Total pages : 456
  • ISBN : 9781461336327
  • File Size : 10,9 Mb
  • Total Download : 515
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On February 15-17, 1993, a conference on Large Scale Optimization, hosted by the Center for Applied Optimization, was held at the University of Florida. The con ference was supported by the National Science Foundation, the U. S. Army Research Office, and the University of Florida, with endorsements from SIAM, MPS, ORSA and IMACS. Forty one invited speakers presented papers on mathematical program ming and optimal control topics with an emphasis on algorithm development, real world applications and numerical results. Participants from Canada, Japan, Sweden, The Netherlands, Germany, Belgium, Greece, and Denmark gave the meeting an important international component. At tendees also included representatives from IBM, American Airlines, US Air, United Parcel Serice, AT & T Bell Labs, Thinking Machines, Army High Performance Com puting Research Center, and Argonne National Laboratory. In addition, the NSF sponsored attendance of thirteen graduate students from universities in the United States and abroad. Accurate modeling of scientific problems often leads to the formulation of large scale optimization problems involving thousands of continuous and/or discrete vari ables. Large scale optimization has seen a dramatic increase in activities in the past decade. This has been a natural consequence of new algorithmic developments and of the increased power of computers. For example, decomposition ideas proposed by G. Dantzig and P. Wolfe in the 1960's, are now implement able in distributed process ing systems, and today many optimization codes have been implemented on parallel machines.

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
  • Author : Jiri Outrata,M. Kocvara,J. Zowe,Jochem Zowe
  • Publisher : Springer Science & Business Media
  • Release Date : 1998-07-31
  • Total pages : 300
  • ISBN : 9780792351702
  • File Size : 55,5 Mb
  • Total Download : 975
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This book presents an in-depth study and a solution technique for an important class of optimization problems. This class is characterized by special constraints: parameter-dependent convex programs, variational inequalities or complementarity problems. All these so-called equilibrium constraints are mostly treated in a convenient form of generalized equations. The book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton's method. Following this, stability and sensitivity theory for generalized equations is presented, based on the concept of strong regularity. This enables one to apply the generalized differential calculus for Lipschitz maps to derive optimality conditions and to arrive at a solution method. A large part of the book focuses on applications coming from continuum mechanics and mathematical economy. A series of nonacademic problems is introduced and analyzed in detail. Each problem is accompanied with examples that show the efficiency of the solution method. This book is addressed to applied mathematicians and engineers working in continuum mechanics, operations research and economic modelling. Students interested in optimization will also find the book useful.

Proceedings of 8th GACM Colloquium on Computational Mechanics

Proceedings of 8th GACM Colloquium on Computational Mechanics
  • Author : Tobias Gleim ,Stephan Lange
  • Publisher : kassel university press GmbH
  • Release Date : 2019-09-04
  • Total pages : 493
  • ISBN : 9783737650939
  • File Size : 16,6 Mb
  • Total Download : 909
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This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.

Nonsmooth Variational Problems and Their Inequalities

Nonsmooth Variational Problems and Their Inequalities
  • Author : Siegfried Carl,Vy K. Le,Dumitru Motreanu
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-06-08
  • Total pages : 395
  • ISBN : 9780387462523
  • File Size : 22,8 Mb
  • Total Download : 556
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This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.

Numerics of Unilateral Contacts and Friction

Numerics of Unilateral Contacts and Friction
  • Author : Christian Studer
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-05-06
  • Total pages : 182
  • ISBN : 9783642011009
  • File Size : 46,8 Mb
  • Total Download : 271
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Mechanics provides the link between mathematics and practical engineering app- cations. It is one of the oldest sciences, and many famous scientists have left and will leave their mark in this fascinating ?eld of research. Perhaps one of the most prominentscientists in mechanics was Sir Isaac Newton, who with his “laws of - tion” initiated the description of mechanical systems by differential equations. And still today, more than 300 years after Newton, this mathematical concept is more actual than ever. The rising computer power and the development of numerical solvers for diff- ential equations allowed engineersall over the world to predict the behavior of their physical systems fast and easy in an numerical way. And the trend to computational simulation methods is still further increasing, not only in mechanics, but practically in all branches of science. Numerical simulation will probablynot solve the world’s engineering problems, but it will help for a better understanding of the mechanisms of our models.

Optimal Control, Stabilization and Nonsmooth Analysis

Optimal Control, Stabilization and Nonsmooth Analysis
  • Author : Marcio S. de Queiroz,Michael Malisoff,Peter Wolenski
  • Publisher : Springer Science & Business Media
  • Release Date : 2004-04-20
  • Total pages : 380
  • ISBN : 3540213309
  • File Size : 36,7 Mb
  • Total Download : 731
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This edited book contains selected papers presented at the Louisiana Conference on Mathematical Control Theory (MCT'03), which brought together over 35 prominent world experts in mathematical control theory and its applications. The book forms a well-integrated exploration of those areas of mathematical control theory in which nonsmooth analysis is having a major impact. These include necessary and sufficient conditions in optimal control, Lyapunov characterizations of stability, input-to-state stability, the construction of feedback mechanisms, viscosity solutions of Hamilton-Jacobi equations, invariance, approximation theory, impulsive systems, computational issues for nonlinear systems, and other topics of interest to mathematicians and control engineers. The book has a strong interdisciplinary component and was designed to facilitate the interaction between leading mathematical experts in nonsmooth analysis and engineers who are increasingly using nonsmooth analytic tools.

Nonsmooth Mechanics

Nonsmooth Mechanics
  • Author : Bernard Brogliato
  • Publisher : Springer
  • Release Date : 2016-02-29
  • Total pages : 628
  • ISBN : 9783319286648
  • File Size : 21,8 Mb
  • Total Download : 967
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Now in its third edition, this standard reference is a comprehensive treatment of nonsmooth mechanical systems refocused to give more prominence to issues connected with control and modelling. It covers Lagrangian and Newton–Euler systems, detailing mathematical tools such as convex analysis and complementarity theory. The ways in which nonsmooth mechanics influence and are influenced by well-posedness analysis, numerical analysis and simulation, modelling and control are explained. Contact/impact laws, stability theory and trajectory-tracking control are given detailed exposition connected by a mathematical framework formed from complementarity systems and measure-differential inclusions. Links are established with electrical circuits with set-valued nonsmooth elements as well as with other nonsmooth dynamical systems like impulsive and piecewise linear systems. Nonsmooth Mechanics (third edition) retains the topical structure familiar from its predecessors but has been substantially rewritten, edited and updated to account for the significant body of results that have emerged in the twenty-first century—including developments in: the existence and uniqueness of solutions; impact models; extension of the Lagrange–Dirichlet theorem and trajectory tracking; and well-posedness of contact complementarity problems with and without friction. Many figures (both new and redrawn to improve the clarity of the presentation) and examples are used to illustrate the theoretical developments. Material introducing the mathematics of nonsmooth mechanics has been improved to reflect the broad range of applications interest that has developed since publication of the second edition. The detail of some mathematical essentials is provided in four appendices. With its improved bibliography of over 1,300 references and wide-ranging coverage, Nonsmooth Mechanics (third edition) is sure to be an invaluable resource for researchers and postgraduates studying the control of mechanical systems, robotics, granular matter and relevant fields of applied mathematics. “The book’s two best features, in my view are its detailed survey of the literature... and its detailed presentation of many examples illustrating both the techniques and their limitations... For readers interested in the field, this book will serve as an excellent introductory survey.” Andrew Lewis in Automatica “It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers.” Panagiotis D. Panagiotopoulos in Mathematical Reviews “The presentation is excellent in combining rigorous mathematics with a great number of examples... allowing the reader to understand the basic concepts.” Hans Troger in Mathematical Abstracts “/i>

Trust Region Methods

Trust Region Methods
  • Author : A. R. Conn,N. I. M. Gould,Ph. L. Toint
  • Publisher : SIAM
  • Release Date : 2000-01-01
  • Total pages : 978
  • ISBN : 9780898719857
  • File Size : 38,6 Mb
  • Total Download : 306
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This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization.

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Dynamics and Bifurcations of Non-Smooth Mechanical Systems
  • Author : Remco I. Leine,Henk Nijmeijer
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-19
  • Total pages : 236
  • ISBN : 9783540443988
  • File Size : 36,9 Mb
  • Total Download : 472
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This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

Nonsmooth Modeling and Simulation for Switched Circuits

Nonsmooth Modeling and Simulation for Switched Circuits
  • Author : Vincent Acary,Olivier Bonnefon,Bernard Brogliato
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-10-19
  • Total pages : 284
  • ISBN : 9789048196814
  • File Size : 50,7 Mb
  • Total Download : 974
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Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) approach, using piecewise-linear and multivalued models of electronic devices like diodes, transistors, switches. Numerous examples (ranging from introductory academic circuits to various types of power converters) are analyzed and many simulation results obtained with the INRIA open-source SICONOS software package are presented. Comparisons with SPICE and hybrid methods demonstrate the power of the NSDS approach. Nonsmooth Modeling and Simulation for Switched Circuits is intended to researchers and engineers in the field of circuits simulation and design, but may also attract applied mathematicians interested by the numerical analysis for nonsmooth dynamical systems, as well as researchers from Systems and Control.