Elements Of Optimization
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Elements Of Optimization
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Author : Delia Koo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Elements Of Optimization written by Delia Koo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
This book attempts to present the concepts which underlie the various optimization procedures which are commonly used. It is written primarily for those scientists such as economists, operations researchers, and en gineers whose main tools of analysis involve optimization techniques and who possess a (not very sharp) knowledge of one or one-and-a-half year's calculus through partial differentiation and Taylor's theorem and some acquaintance with elementary vector and matrix terminology. Such a scientist is frequently confronted with expressions such as Lagrange multi pliers, first-and second-order conditions, linear programming and activity analysis, duality, the Kuhn-Tucker conditions, and, more recently, dy namic programming and optimal control. He or she uses or needs to use these optimization techniques, and would like to feel more comfortable with them through better understanding of their underlying mathematical concepts, but has no immediate use for a formal theorem-proof treatment which quickly abstracts to a general case of n variables and uses a style and terminology that are discouraging to people who are not mathematics majors. The emphasis of this book is on clarity and plausibility. Through examples which are worked out step by step in detail, I hope to illustrate some tools which will be useful to scientists when they apply optimization techniques to their problems. Most of the chapters may be read independently of each other-with the exception of Chapter 6, which depends on Chapter 5. For instance, the reader will find little or no difficulty in reading Chapter 8 without having read the previous chapters.
Elements Of Dynamic Optimization
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Author : Alpha C. Chiang
language : en
Publisher:
Release Date : 2000
Elements Of Dynamic Optimization written by Alpha C. Chiang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Elements Of Structural Optimization
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Author : Raphael T. Haftka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Elements Of Structural Optimization written by Raphael T. Haftka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.
The field of structural optimization is still a relatively new field undergoing rapid changes in methods and focus. Until recently there was a severe imbalance between the enormous amount of literature on the subject, and the paucity of applications to practical design problems. This imbalance is being gradually redressed now. There is still no shortage of new publications, but there are also exciting applications of the methods of structural optimizations in the automotive, aerospace, civil engineering, machine design and other engineering fields. As a result of the growing pace of applications, research into structural optimization methods is increasingly driven by real-life problems. Most engineers who design structures employ complex general-purpose software packages for structural analysis. Often they do not have any access to the source the details of program, and even more frequently they have only scant knowledge of the structural analysis algorithms used in this software packages. Therefore the major challenge faced by researchers in structural optimization is to develop methods that are suitable for use with such software packages. Another major challenge is the high computational cost associated with the analysis of many complex real-life problems. In many cases the engineer who has the task of designing a structure cannot afford to analyze it more than a handful of times.
Elements Of Structural Optimization
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Author : Raphael T. Haftka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elements Of Structural Optimization written by Raphael T. Haftka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The field of structural optimization is still a relatively new field undergoing rapid changes in methods and focus. Until recently there was a severe imbalance between the enormous amount of literature on the subject, and the paucity of applications to practical design problems. This imbalance is being gradually redressed. There is still no shortage of new publications, but there are also exciting applications of the methods of structural optimizations in the automotive, aerospace, civil engineering, machine design and other engineering fields. As a result of the growing pace of applications, research into structural optimization methods is increasingly driven by real-life problems. t-.Jost engineers who design structures employ complex general-purpose software packages for structural analysis. Often they do not have any access to the source program, and even more frequently they have only scant knowledge of the details of the structural analysis algorithms used in this software packages. Therefore the major challenge faced by researchers in structural optimization is to develop methods that are suitable for use with such software packages. Another major challenge is the high computational cost associated with the analysis of many complex real-life problems. In many cases the engineer who has the task of designing a structure cannot afford to analyze it more than a handful of times.
Elements Of Classical And Geometric Optimization
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Author : Debasish Roy
language : en
Publisher: CRC Press
Release Date : 2024-01-25
Elements Of Classical And Geometric Optimization written by Debasish Roy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-25 with Technology & Engineering categories.
This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic, in a single volume and in a language accessible to non-mathematicians. It will help serve as an ideal study material for senior undergraduate and graduate students in the fields of civil, mechanical, aerospace, electrical, electronics, and communication engineering. The book includes: Derivative-based Methods of Optimization. Direct Search Methods of Optimization. Basics of Riemannian Differential Geometry. Geometric Methods of Optimization using Riemannian Langevin Dynamics. Stochastic Analysis on Manifolds and Geometric Optimization Methods. This textbook comprehensively treats both classical and geometric optimization methods, including deterministic and stochastic (Monte Carlo) schemes. It offers an extensive coverage of important topics including derivative-based methods, penalty function methods, method of gradient projection, evolutionary methods, geometric search using Riemannian Langevin dynamics and stochastic dynamics on manifolds. The textbook is accompanied by online resources including MATLAB codes which are uploaded on our website. The textbook is primarily written for senior undergraduate and graduate students in all applied science and engineering disciplines and can be used as a main or supplementary text for courses on classical and geometric optimization.
Elements Of Optimal Control
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Author : Stephen J. Citron
language : en
Publisher:
Release Date : 1969
Elements Of Optimal Control written by Stephen J. Citron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Science categories.
"It is the purpose of this text to provide in introduction to the development and utilization of techniques applicable to the solution of optimal control problems. Such problems are within the domain of system optimization theory. It is felt that the text is a suitable beginning point for the engineering reader interested in the fields of optimal control and system optimization. No prerequisites in control theory are required and use of the text is not limited to any one special field of engineering. Several methods of formulating and solving deterministic optimal control problems are presented." --Preface.
Elements Of Structural Optimization
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Author : Manohar P. Kamat
language : en
Publisher:
Release Date : 1985
Elements Of Structural Optimization written by Manohar P. Kamat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematical optimization categories.
Finite Elements Based Optimization
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Author : S. Ratnajeevan H. Hoole
language : en
Publisher: CRC Press
Release Date : 2019-07-24
Finite Elements Based Optimization written by S. Ratnajeevan H. Hoole and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Mathematics categories.
This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell’s method for implementation in the codes. It will contain pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element programs capable of shape optimization. Features Enables readers to understand the finite element method and optimization methods and couple them to effect shape optimization Presents simple approach with algorithms for synthesis Focuses on automated computer aided design (CAD) of electromagnetic devices Provides a unitary framework involving optimization and numerical modelling Discusses how to integrate open-source mesh generators into your code Indicates how parallelization of algorithms, especially matrix solution and optimization, may be approached cheaply using the graphics processing unit (GPU) that is available on most PCs today Includes coupled problem optimization using hyperthermia as an example
Finite Elements Based Optimization
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Author : S. Ratnajeevan H. Hoole
language : en
Publisher: CRC Press
Release Date : 2019-07-24
Finite Elements Based Optimization written by S. Ratnajeevan H. Hoole and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Mathematics categories.
This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell’s method for implementation in the codes. It will contain pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element programs capable of shape optimization. Features Enables readers to understand the finite element method and optimization methods and couple them to effect shape optimization Presents simple approach with algorithms for synthesis Focuses on automated computer aided design (CAD) of electromagnetic devices Provides a unitary framework involving optimization and numerical modelling Discusses how to integrate open-source mesh generators into your code Indicates how parallelization of algorithms, especially matrix solution and optimization, may be approached cheaply using the graphics processing unit (GPU) that is available on most PCs today Includes coupled problem optimization using hyperthermia as an example
Optimization Concepts And Applications In Engineering
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Author : Ashok D. Belegundu
language : en
Publisher: Cambridge University Press
Release Date : 2019-06-06
Optimization Concepts And Applications In Engineering written by Ashok D. Belegundu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-06 with Mathematics categories.
Integrates theory, algorithms, modeling, and computer implementation while solved examples show realistic engineering optimization problems.