Advances on Mathematical Modeling and Optimization with Its Applications

Advances on Mathematical Modeling and Optimization with Its Applications PDF Author: Gunjan Mukherjee
Publisher: CRC Press
ISBN: 1040001343
Category : Mathematics
Languages : en
Pages : 279

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Book Description
Advances on Mathematical Modeling and Optimization with Its Applications discusses optimization, equality, and inequality constraints and their application in the versatile optimizing domain. It further covers non-linear optimization methods such as global optimization, and gradient-based non-linear optimization, and their applications. Discusses important topics including multi-component differential equations, geometric partial differential equations, and computational neural systems Covers linear integer programming and network design problems, along with an application of the mixed integer problems Discusses constrained and unconstrained optimization, equality, and inequality constraints, and their application in the versatile optimizing domain Elucidates the application of statistical models, probability models, and transfer learning concepts Showcases the importance of multi-attribute decision modeling in the domain of image processing and soft computing The text is primarily for senior undergraduate and graduate students, and academic researchers in the fields of mathematics, statistics, and computer science.

Advances on Mathematical Modeling and Optimization with Its Applications

Advances on Mathematical Modeling and Optimization with Its Applications PDF Author: Gunjan Mukherjee
Publisher: CRC Press
ISBN: 1040001343
Category : Mathematics
Languages : en
Pages : 279

Get Book

Book Description
Advances on Mathematical Modeling and Optimization with Its Applications discusses optimization, equality, and inequality constraints and their application in the versatile optimizing domain. It further covers non-linear optimization methods such as global optimization, and gradient-based non-linear optimization, and their applications. Discusses important topics including multi-component differential equations, geometric partial differential equations, and computational neural systems Covers linear integer programming and network design problems, along with an application of the mixed integer problems Discusses constrained and unconstrained optimization, equality, and inequality constraints, and their application in the versatile optimizing domain Elucidates the application of statistical models, probability models, and transfer learning concepts Showcases the importance of multi-attribute decision modeling in the domain of image processing and soft computing The text is primarily for senior undergraduate and graduate students, and academic researchers in the fields of mathematics, statistics, and computer science.

Advances in Mathematical Modeling, Optimization and Optimal Control

Advances in Mathematical Modeling, Optimization and Optimal Control PDF 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.

Recent Advances in Optimization and its Applications in Engineering

Recent Advances in Optimization and its Applications in Engineering PDF Author: Moritz Diehl
Publisher: Springer Science & Business Media
ISBN: 3642125980
Category : Technology & Engineering
Languages : en
Pages : 535

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Book Description
Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

Mathematical Modelling and Optimization of Engineering Problems

Mathematical Modelling and Optimization of Engineering Problems PDF 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.

Mathematical Modeling and Computation of Real-Time Problems

Mathematical Modeling and Computation of Real-Time Problems PDF Author: Rakhee Kulshrestha
Publisher: CRC Press
ISBN: 1000288676
Category : Mathematics
Languages : en
Pages : 172

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Book Description
This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.

Mathematical and Computational Modeling

Mathematical and Computational Modeling PDF Author: Roderick Melnik
Publisher: John Wiley & Sons
ISBN: 111885411X
Category : Mathematics
Languages : en
Pages : 336

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Book Description
Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-the-art achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, industrial, and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.

Modeling and Optimization in Space Engineering

Modeling and Optimization in Space Engineering PDF Author: Giorgio Fasano
Publisher: Springer Science & Business Media
ISBN: 1461444683
Category : Mathematics
Languages : en
Pages : 409

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Book Description
This volume presents a selection of advanced case studies that address a substantial range of issues and challenges arising in space engineering. The contributing authors are well-recognized researchers and practitioners in space engineering and in applied optimization. The key mathematical modeling and numerical solution aspects of each application case study are presented in sufficient detail. Classic and more recent space engineering problems – including cargo accommodation and object placement, flight control of satellites, integrated design and trajectory optimization, interplanetary transfers with deep space manoeuvres, low energy transfers, magnetic cleanliness modeling, propulsion system design, sensor system placement, systems engineering, space traffic logistics, and trajectory optimization – are discussed. Novel points of view related to computational global optimization and optimal control, and to multidisciplinary design optimization are also given proper emphasis. A particular attention is paid also to scenarios expected in the context of future interplanetary explorations. Modeling and Optimization in Space Engineering will benefit researchers and practitioners working on space engineering applications. Academics, graduate and post-graduate students in the fields of aerospace and other engineering, applied mathematics, operations research and optimal control will also find the book useful, since it discusses a range of advanced model development and solution techniques and tools in the context of real-world applications and new challenges.

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management

Mathematical Modeling, Simulation and Optimization for Power Engineering and Management PDF 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.

Advances in Applied Mathematics, Modeling, and Computational Science

Advances in Applied Mathematics, Modeling, and Computational Science PDF Author: Roderick Melnik
Publisher: Springer Science & Business Media
ISBN: 1461453895
Category : Mathematics
Languages : en
Pages : 242

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Book Description
The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science. This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

Advances in Mathematical and Statistical Modeling

Advances in Mathematical and Statistical Modeling PDF Author: Barry C. Arnold
Publisher: Springer Science & Business Media
ISBN: 0817646264
Category : Mathematics
Languages : en
Pages : 368

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Book Description
Enrique Castillo is a leading figure in several mathematical and engineering fields. Organized to honor Castillo’s significant contributions, this volume is an outgrowth of the "International Conference on Mathematical and Statistical Modeling," and covers recent advances in the field. Applications to safety, reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques are presented.