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Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer
ISBN: 3319307851
Category : Mathematics
Languages : en
Pages : 205
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Book Description
This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable. The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a first order in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.
Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer
ISBN: 3319307851
Category : Mathematics
Languages : en
Pages : 205
Get Book Here
Book Description
This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable. The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a first order in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.
Author: J. A. Tenreiro Machado
Publisher: Springer Nature
ISBN: 3030370623
Category : Mathematics
Languages : en
Pages : 204
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Book Description
This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.
Author: Simone Göttlich
Publisher: Springer Nature
ISBN: 3030627322
Category : Technology & Engineering
Languages : en
Pages : 333
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Book Description
This edited monograph offers a summary of future mathematical methods supporting the recent energy sector transformation. It collects current contributions on innovative methods and algorithms. Advances in mathematical techniques and scientific computing methods are presented centering around economic aspects, technical realization and large-scale networks. Over twenty authors focus on the mathematical modeling of such future systems with careful analysis of desired properties and arising scales. Numerical investigations include efficient methods for the simulation of possibly large-scale interconnected energy systems and modern techniques for optimization purposes to guarantee stable and reliable future operations. The target audience comprises research scientists, researchers in the R&D field, and practitioners. Since the book highlights possible future research directions, graduate students in the field of mathematical modeling or electrical engineering may also benefit strongly.
Author: Bruce D. Craven
Publisher: Springer Science & Business Media
ISBN: 0387242805
Category : Business & Economics
Languages : en
Pages : 174
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Book Description
Some recent developments in the mathematics of optimization, including the concepts of invexity and quasimax, have not yet been applied to models of economic growth, and to finance and investment. Their applications to these areas are shown in this book.
Author: N.V. Hritonenko
Publisher: Springer Science & Business Media
ISBN: 1441997334
Category : Mathematics
Languages : en
Pages : 225
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Book Description
The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...
Author: Nupur Goyal
Publisher: CRC Press
ISBN: 1000433153
Category : Mathematics
Languages : en
Pages : 223
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Book Description
Differential Equations in Engineering: Research and Applications describes advanced research in the field of the applications of differential equations in engineering and the sciences, and offers a sound theoretical background, along with case studies. It describes the advances in differential equations in real life for engineers. Along with covering many advanced differential equations and explaining the utility of these equations, the book provides a broad understanding of the use of differential equations to solve and analyze many real-world problems, such as calculating the movement or flow of electricity, the motion of an object to and from, like a pendulum, or explaining thermodynamics concepts by making use of various mathematical tools, techniques, strategies, and methods in applied engineering. This book is written for researchers and academicians, as well as for undergraduate and postgraduate students of engineering.
Author: Max D. Gunzburger
Publisher: SIAM
ISBN: 089871527X
Category : Science
Languages : en
Pages : 273
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Book Description
Introduces several approaches for solving flow control and optimization problems through the use of modern methods.
Author: Antonella Ferrara
Publisher: SIAM
ISBN: 1611975840
Category : Mathematics
Languages : en
Pages : 302
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Book Description
A compendium of the authors recently published results, this book discusses sliding mode control of uncertain nonlinear systems, with a particular emphasis on advanced and optimization based algorithms. The authors survey classical sliding mode control theory and introduce four new methods of advanced sliding mode control. They analyze classical theory and advanced algorithms, with numerical results complementing the theoretical treatment. Case studies examine applications of the algorithms to complex robotics and power grid problems. Advanced and Optimization Based Sliding Mode Control: Theory and Applications is the first book to systematize the theory of optimization based higher order sliding mode control and illustrate advanced algorithms and their applications to real problems. It presents systematic treatment of event-triggered and model based event-triggered sliding mode control schemes, including schemes in combination with model predictive control, and presents adaptive algorithms as well as algorithms capable of dealing with state and input constraints. Additionally, the book includes simulations and experimental results obtained by applying the presented control strategies to real complex systems. This book is suitable for students and researchers interested in control theory. It will also be attractive to practitioners interested in implementing the illustrated strategies. It is accessible to anyone with a basic knowledge of control engineering, process physics, and applied mathematics.
Author: Ke Chen
Publisher: Springer Nature
ISBN: 3030986616
Category : Mathematics
Languages : en
Pages : 1981
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Book Description
This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.
Author: Kwang-Yong Kim
Publisher: John Wiley & Sons
ISBN: 111918830X
Category : Science
Languages : de
Pages : 450
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Book Description
Dieses aktuelle Referenzwerk behandelt numerische Optimierungsmethoden für Strömungsmaschinen und die wichtigsten industriellen Anwendungen. Grundlagen sind umfangreiche Forschung und Erfahrung der Autoren. Die logischen Zusammenhänge, um den Bereich der numerischen Strömungssimulation (CFD) zu verstehen, werden anhand der Grundlagen der Strömungsmechanik, von Strömungsmaschinen und ihrer Komponenten erläutert. Im Anschluss folgt eine Einführung in Methoden der Ein- und Mehrzieloptimierung, die automatische Optimierung, in Ersatzmodelle und Entwicklungsalgorithmen. Das Fachbuch schließt mit der ausführlichen Erklärung von Designansätzen und Anwendungen für Pumpen, Turbinen, Kompressoren und weiteren Systemen von Strömungsmaschinen. Der Nachdruck liegt hier bei Systemen für erneuerbare Energien. - Die Autoren sind führende Experten des Fachgebiets. - Ein handliches Fachbuch zu Optimierungsmethoden mittels numerischer Strömungssimulation bei Strömungsmaschinen. - Beschreibt wichtige Anwendungsbereiche in der Industrie und enthält Kapitel zu Systemen für erneuerbaren Energien. Design Optimization of Fluid Machinery ist ein wichtiger Leitfaden für Graduierte, Forscher und Ingenieure aus den Bereichen Strömungsmaschinen und zugehörige Optimierungsmethoden. Als Fachbuch mit allem Wissenswerten zu dem Thema richtet es sich an Studenten höherer Semester der Fachrichtungen Maschinenbau und verwandter Bereiche der Strömungssimulation und Luft-/Raumfahrttechnik.
