Advances In Optimization And Numerical Analysis

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Advances in Optimization and Numerical Analysis

S. Gomez,J.P. Hennart
Advances in Optimization and Numerical Analysis Book PDF

Author : S. Gomez,J.P. Hennart
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 53,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401583305

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Advances in Optimization and Numerical Analysis by S. Gomez,J.P. Hennart Pdf

In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza tion. The Workshop was organized by the Numerical Analysis Department at the Institute of Research in Applied Mathematics of the National University of Mexico in collaboration with the Mathematical Sciences Department at Rice University, as were the previous ones in 1978, 1979, 1981, 1984 and 1989. As were the third, fourth, and fifth workshops, this one was supported by a grant from the Mexican National Council for Science and Technology, and the US National Science Foundation, as part of the joint Scientific and Technical Cooperation Program existing between these two countries. The participation of many of the leading figures in the field resulted in a good representation of the state of the art in Continuous Optimization, and in an over view of several topics including Numerical Methods for Diffusion-Advection PDE problems as well as some Numerical Linear Algebraic Methods to solve related pro blems. This book collects some of the papers given at this Workshop.

Recent Advances in Optimization and its Applications in Engineering

Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Recent Advances in Optimization and its Applications in Engineering Book PDF

Author : Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 46,5 Mb
Release : 2010-09-21
Category : Technology & Engineering
ISBN : 9783642125980

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Recent Advances in Optimization and its Applications in Engineering by Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels Pdf

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.

Numerical Methods & Optimization

Anup Goel
Numerical Methods Optimization Book PDF

Author : Anup Goel
Publisher : Technical Publications
Page : 576 pages
File Size : 50,8 Mb
Release : 2021-01-01
Category : Technology & Engineering
ISBN : 9789333221788

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Numerical Methods & Optimization by Anup Goel Pdf

Numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm. Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis. Numerical analysis naturally finds application in all fields of engineering and the physical sciences. Numerical methods are used to approach the solution of the problem and the use of computer improves the accuracy of the solution and working speed. Optimization is the process of finding the conditions that give the maximum or minimum value of a function. For optimization purpose, linear programming technique helps the management in decision making process. This technique is used in almost every functional area of business. This book include flowcharts and programs for various numerical methods by using MATLAB language. My hope is that this book, through its careful explanations of concepts, practical examples and figures bridges the gap between knowledge and proper application of that knowledge.

Numerical Methods and Optimization

Jean-Pierre Corriou
Numerical Methods and Optimization Book PDF

Author : Jean-Pierre Corriou
Publisher : Springer Nature
Page : 730 pages
File Size : 54,6 Mb
Release : 2022-01-04
Category : Mathematics
ISBN : 9783030893668

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Numerical Methods and Optimization by Jean-Pierre Corriou Pdf

This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. The abundance of advanced methods and practical applications will be attractive to scientists and researchers working in different branches of engineering. The reader is progressively introduced to general numerical methods and optimization algorithms in each chapter. Examples accompany the various methods and guide the students to a better understanding of the applications. The user is often provided with the opportunity to verify their results with complex programming code. Each chapter ends with graduated exercises which furnish the student with new cases to study as well as ideas for exam/homework problems for the instructor. A set of programs made in MatlabTM is available on the author’s personal website and presents both numerical and optimization methods.

Numerical Analysis and Optimization

Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Numerical Analysis and Optimization Book PDF

Author : Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama
Publisher : Springer
Page : 304 pages
File Size : 54,9 Mb
Release : 2018-05-31
Category : Mathematics
ISBN : 9783319900261

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Numerical Analysis and Optimization by Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama Pdf

This volume contains 13 selected keynote papers presented at the Fourth International Conference on Numerical Analysis and Optimization. Held every three years at Sultan Qaboos University in Muscat, Oman, this conference highlights novel and advanced applications of recent research in numerical analysis and optimization. Each peer-reviewed chapter featured in this book reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Any graduate student or researched wishing to know the latest research in the field will be interested in this volume. This book is dedicated to the late Professors Mike JD Powell and Roger Fletcher, who were the pioneers and leading figures in the mathematics of nonlinear optimization.

Numerical Analysis and Optimization

Mehiddin Al-Baali,Anton Purnama,Lucio Grandinetti
Numerical Analysis and Optimization Book PDF

Author : Mehiddin Al-Baali,Anton Purnama,Lucio Grandinetti
Publisher : Springer Nature
Page : 307 pages
File Size : 53,8 Mb
Release : 2021-12-01
Category : Mathematics
ISBN : 9783030720407

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Numerical Analysis and Optimization by Mehiddin Al-Baali,Anton Purnama,Lucio Grandinetti Pdf

This book gathers selected, peer-reviewed contributions presented at the Fifth International Conference on Numerical Analysis and Optimization (NAO-V), which was held at Sultan Qaboos University, Oman, on January 6-9, 2020. Each chapter reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Many real-world, complex problems can be formulated as optimization tasks, and can be characterized further as large scale, unconstrained, constrained, non-convex, nondifferentiable or discontinuous, and therefore require adequate computational methods, algorithms and software tools. These same tools are often employed by researchers working in current IT hot topics, such as big data, optimization and other complex numerical algorithms in the cloud, devising special techniques for supercomputing systems. This interdisciplinary view permeates the work included in this volume. The NAO conference series is held every three years at Sultan Qaboos University, with the aim of bringing together a group of international experts and presenting novel and advanced applications to facilitate interdisciplinary studies among pure scientific and applied knowledge. It is a venue where prominent scientists gather to share innovative ideas and know-how relating to new scientific methodologies, to promote scientific exchange, to discuss possible future cooperations, and to promote the mobility of local and young researchers.

Advances in Stochastic and Deterministic Global Optimization

Panos M. Pardalos,Anatoly Zhigljavsky,Julius Žilinskas
Advances in Stochastic and Deterministic Global Optimization Book PDF

Author : Panos M. Pardalos,Anatoly Zhigljavsky,Julius Žilinskas
Publisher : Springer
Page : 296 pages
File Size : 46,7 Mb
Release : 2016-11-04
Category : Mathematics
ISBN : 9783319299754

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Advances in Stochastic and Deterministic Global Optimization by Panos M. Pardalos,Anatoly Zhigljavsky,Julius Žilinskas Pdf

Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. Contributions include applications to multidimensional data visualization, regression, survey calibration, inventory management, timetabling, chemical engineering, energy systems, and competitive facility location. Graduate students, researchers, and scientists in computer science, numerical analysis, optimization, and applied mathematics will be fascinated by the theoretical, computational, and application-oriented aspects of stochastic and deterministic global optimization explored in this book. This volume is dedicated to the 70th birthday of Antanas Žilinskas who is a leading world expert in global optimization. Professor Žilinskas's research has concentrated on studying models for the objective function, the development and implementation of efficient algorithms for global optimization with single and multiple objectives, and application of algorithms for solving real-world practical problems.

Numerical Methods in Sensitivity Analysis and Shape Optimization

Emmanuel Laporte,Patrick Le Tallec
Numerical Methods in Sensitivity Analysis and Shape Optimization Book PDF

Author : Emmanuel Laporte,Patrick Le Tallec
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461200697

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Numerical Methods in Sensitivity Analysis and Shape Optimization by Emmanuel Laporte,Patrick Le Tallec Pdf

Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.

Advances in Numerical Analysis Emphasizing Interval Data

Tofigh Allahviranloo,Witold Pedrycz,Armin Esfandiari
Advances in Numerical Analysis Emphasizing Interval Data Book PDF

Author : Tofigh Allahviranloo,Witold Pedrycz,Armin Esfandiari
Publisher : CRC Press
Page : 218 pages
File Size : 46,8 Mb
Release : 2022-02-18
Category : Technology & Engineering
ISBN : 9781000540253

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Advances in Numerical Analysis Emphasizing Interval Data by Tofigh Allahviranloo,Witold Pedrycz,Armin Esfandiari Pdf

Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.

Advances in Mathematical Modeling, Optimization and Optimal Control

Jean-Baptiste Hiriart-Urruty,Adam Korytowski,Helmut Maurer,Maciej Szymkat
Advances in Mathematical Modeling Optimization and Optimal Control Book PDF

Author : Jean-Baptiste Hiriart-Urruty,Adam Korytowski,Helmut Maurer,Maciej Szymkat
Publisher : Springer
Page : 205 pages
File Size : 45,6 Mb
Release : 2016-05-19
Category : Mathematics
ISBN : 9783319307855

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Advances in Mathematical Modeling, Optimization and Optimal Control by Jean-Baptiste Hiriart-Urruty,Adam Korytowski,Helmut Maurer,Maciej Szymkat Pdf

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.

Numerical Methods and Optimization

Sergiy Butenko,Panos M. Pardalos
Numerical Methods and Optimization Book PDF

Author : Sergiy Butenko,Panos M. Pardalos
Publisher : CRC Press
Page : 408 pages
File Size : 48,5 Mb
Release : 2014-03-11
Category : Business & Economics
ISBN : 9781466577787

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Numerical Methods and Optimization by Sergiy Butenko,Panos M. Pardalos Pdf

For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Intro

Modern Numerical Nonlinear Optimization

Neculai Andrei
Modern Numerical Nonlinear Optimization Book PDF

Author : Neculai Andrei
Publisher : Springer Nature
Page : 824 pages
File Size : 50,5 Mb
Release : 2022-10-18
Category : Mathematics
ISBN : 9783031087202

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Modern Numerical Nonlinear Optimization by Neculai Andrei Pdf

This book includes a thorough theoretical and computational analysis of unconstrained and constrained optimization algorithms and combines and integrates the most recent techniques and advanced computational linear algebra methods. Nonlinear optimization methods and techniques have reached their maturity and an abundance of optimization algorithms are available for which both the convergence properties and the numerical performances are known. This clear, friendly, and rigorous exposition discusses the theory behind the nonlinear optimization algorithms for understanding their properties and their convergence, enabling the reader to prove the convergence of his/her own algorithms. It covers cases and computational performances of the most known modern nonlinear optimization algorithms that solve collections of unconstrained and constrained optimization test problems with different structures, complexities, as well as those with large-scale real applications. The book is addressed to all those interested in developing and using new advanced techniques for solving large-scale unconstrained or constrained complex optimization problems. Mathematical programming researchers, theoreticians and practitioners in operations research, practitioners in engineering and industry researchers, as well as graduate students in mathematics, Ph.D. and master in mathematical programming will find plenty of recent information and practical approaches for solving real large-scale optimization problems and applications.

Numerical Optimization

Jorge Nocedal,Stephen Wright
Numerical Optimization Book PDF

Author : Jorge Nocedal,Stephen Wright
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 53,9 Mb
Release : 2006-06-06
Category : Mathematics
ISBN : 9780387227429

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Numerical Optimization by Jorge Nocedal,Stephen Wright Pdf

The new edition of this book presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on methods best suited to practical problems. This edition has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are widely used in practice and are the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience.

Numerical Optimization

Joseph-Frédéric Bonnans,Jean Charles Gilbert,Claude Lemarechal,Claudia A. Sagastizábal
Numerical Optimization Book PDF

Author : Joseph-Frédéric Bonnans,Jean Charles Gilbert,Claude Lemarechal,Claudia A. Sagastizábal
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 46,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662050781

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Numerical Optimization by Joseph-Frédéric Bonnans,Jean Charles Gilbert,Claude Lemarechal,Claudia A. Sagastizábal Pdf

This book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical description when coming to actual implementation.

Modeling, Simulation and Optimization for Science and Technology

William Fitzgibbon,Yuri A. Kuznetsov,Pekka Neittaanmäki,Olivier Pironneau
Modeling Simulation and Optimization for Science and Technology Book PDF

Author : William Fitzgibbon,Yuri A. Kuznetsov,Pekka Neittaanmäki,Olivier Pironneau
Publisher : Springer
Page : 248 pages
File Size : 42,6 Mb
Release : 2014-06-18
Category : Technology & Engineering
ISBN : 9789401790543

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Modeling, Simulation and Optimization for Science and Technology by William Fitzgibbon,Yuri A. Kuznetsov,Pekka Neittaanmäki,Olivier Pironneau Pdf

This volume contains thirteen articles on advances in applied mathematics and computing methods for engineering problems. Six papers are on optimization methods and algorithms with emphasis on problems with multiple criteria; four articles are on numerical methods for applied problems modeled with nonlinear PDEs; two contributions are on abstract estimates for error analysis; finally one paper deals with rare events in the context of uncertainty quantification. Applications include aerospace, glaciology and nonlinear elasticity. Herein is a selection of contributions from speakers at two conferences on applied mathematics held in June 2012 at the University of Jyväskylä, Finland. The first conference, “Optimization and PDEs with Industrial Applications” celebrated the seventieth birthday of Professor Jacques Périaux of the University of Jyväskylä and Polytechnic University of Catalonia (Barcelona Tech) and the second conference, “Optimization and PDEs with Applications” celebrated the seventy-fifth birthday of Professor Roland Glowinski of the University of Houston. This work should be of interest to researchers and practitioners as well as advanced students or engineers in computational and applied mathematics or mechanics.