Numerical Methods Of Mathematical Optimization PDF Download
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Author | : Grégoire Allaire |
Publisher | : OUP Oxford |
Total Pages | : 472 |
Release | : 2007-05-24 |
Genre | : Mathematics |
ISBN | : 0191525529 |
Download Numerical Analysis and Optimization Book in PDF, ePub and Kindle
This text, based on the author's teaching at École Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the physical sciences.
Author | : Jean-Pierre Corriou |
Publisher | : Springer Nature |
Total Pages | : 730 |
Release | : 2022-01-04 |
Genre | : Mathematics |
ISBN | : 3030893669 |
Download Numerical Methods and Optimization Book in PDF, ePub and Kindle
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.
Author | : Jorge Nocedal |
Publisher | : Springer Science & Business Media |
Total Pages | : 686 |
Release | : 2006-12-11 |
Genre | : Mathematics |
ISBN | : 0387400656 |
Download Numerical Optimization Book in PDF, ePub and Kindle
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.
Author | : J. E. Dennis, Jr. |
Publisher | : SIAM |
Total Pages | : 394 |
Release | : 1996-12-01 |
Genre | : Mathematics |
ISBN | : 9781611971200 |
Download Numerical Methods for Unconstrained Optimization and Nonlinear Equations Book in PDF, ePub and Kindle
This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.
Author | : Hans P. Künzi |
Publisher | : Academic Press |
Total Pages | : 229 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483264718 |
Download Numerical Methods of Mathematical Optimization Book in PDF, ePub and Kindle
Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs reviews the theory and the practical application of the numerical methods of mathematical optimization. An ALGOL and a FORTRAN program was developed for each one of the algorithms described in the theoretical section. This should result in easy access to the application of the different optimization methods. Comprised of four chapters, this volume begins with a discussion on the theory of linear and nonlinear optimization, with the main stress on an easily understood, mathematically precise presentation. In addition to the theoretical considerations, several algorithms of importance to the numerical application of optimization theory are described. The next chapter explains the computer programs used in actual optimization, which have the form of procedures or subroutines. The book concludes with an analysis of ALGOL and FORTRAN, paying particular attention to their use in global optimization procedures as well as for the simplex and duoplex methods and the decomposition, Gomory, Beale, and Wolfe algorithms. This monograph will be helpful to students and practitioners of computer science and applied mathematics.
Author | : Jan A Snyman |
Publisher | : Springer |
Total Pages | : 372 |
Release | : 2018-05-02 |
Genre | : Mathematics |
ISBN | : 3319775863 |
Download Practical Mathematical Optimization Book in PDF, ePub and Kindle
This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.
Author | : Sergiy Butenko |
Publisher | : CRC Press |
Total Pages | : 408 |
Release | : 2014-03-11 |
Genre | : Business & Economics |
ISBN | : 1466577789 |
Download Numerical Methods and Optimization Book in PDF, ePub and Kindle
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
Author | : Emmanuel Laporte |
Publisher | : Springer Science & Business Media |
Total Pages | : 202 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461200695 |
Download Numerical Methods in Sensitivity Analysis and Shape Optimization Book in PDF, ePub and Kindle
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.
Author | : Grégoire Allaire |
Publisher | : Oxford University Press, USA |
Total Pages | : 472 |
Release | : 2007-05-24 |
Genre | : Mathematics |
ISBN | : 0199205213 |
Download Numerical Analysis and Optimization Book in PDF, ePub and Kindle
Numerical Analysis and Optimization familiarises students with mathematical models (PDEs) and methods of numerical solution and optimization. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.
Author | : Sergey Repin |
Publisher | : Springer Science & Business Media |
Total Pages | : 446 |
Release | : 2012-10-13 |
Genre | : Technology & Engineering |
ISBN | : 9400752873 |
Download Numerical Methods for Differential Equations, Optimization, and Technological Problems Book in PDF, ePub and Kindle
This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.