Analysis Modelling Optimization And Numerical Techniques

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Analysis, Modelling, Optimization, and Numerical Techniques

Gerard Olivar Tost,Olga Vasilieva
Analysis Modelling Optimization and Numerical Techniques Book PDF

Author : Gerard Olivar Tost,Olga Vasilieva
Publisher : Springer
Page : 371 pages
File Size : 50,7 Mb
Release : 2015-03-18
Category : Mathematics
ISBN : 9783319125831

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Analysis, Modelling, Optimization, and Numerical Techniques by Gerard Olivar Tost,Olga Vasilieva Pdf

This book highlights recent compelling research results and trends in various aspects of contemporary mathematics, emphasizing applicabilitions to real-world situations. The chapters present exciting new findings and developments in situations where mathematical rigor is combined with common sense. A multi-disciplinary approach, both within each chapter and in the volume as a whole, leads to practical insights that may result in a more synthetic understanding of specific global issues as well as their possible solutions. The volume will be of interest not only to experts in mathematics, but also to graduate students, scientists, and practitioners from other fields including physics, biology, geology, management, and medicine.

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 : 42,6 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.

Numerical Analysis and Optimization

Grégoire Allaire
Numerical Analysis and Optimization Book PDF

Author : Grégoire Allaire
Publisher : Oxford University Press
Page : 472 pages
File Size : 45,8 Mb
Release : 2007-05-24
Category : Mathematics
ISBN : 9780199205219

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Numerical Analysis and Optimization by Grégoire Allaire Pdf

This work familiarises students with mathematical models (PDEs) and methods of numerical solution and optimisation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.

Nonlinear Optimization

William P. Fox
Nonlinear Optimization Book PDF

Author : William P. Fox
Publisher : CRC Press
Page : 306 pages
File Size : 47,6 Mb
Release : 2020-12-08
Category : Mathematics
ISBN : 9781000196962

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Nonlinear Optimization by William P. Fox Pdf

Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques). Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB®, and MapleTM to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

Numerical Methods for Differential Equations, Optimization, and Technological Problems

Sergey Repin,Timo Tiihonen,Tero Tuovinen
Numerical Methods for Differential Equations Optimization and Technological Problems Book PDF

Author : Sergey Repin,Timo Tiihonen,Tero Tuovinen
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 55,6 Mb
Release : 2012-10-13
Category : Technology & Engineering
ISBN : 9789400752870

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Numerical Methods for Differential Equations, Optimization, and Technological Problems by Sergey Repin,Timo Tiihonen,Tero Tuovinen Pdf

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.

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 : 47,7 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.

Mathematical Modeling and Optimization of Complex Structures

Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen
Mathematical Modeling and Optimization of Complex Structures Book PDF

Author : Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen
Publisher : Springer
Page : 328 pages
File Size : 41,7 Mb
Release : 2015-10-07
Category : Technology & Engineering
ISBN : 9783319235646

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Mathematical Modeling and Optimization of Complex Structures by Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen Pdf

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Numerical Methods and Optimization in Finance

Manfred Gilli,Dietmar Maringer,Enrico Schumann
Numerical Methods and Optimization in Finance Book PDF

Author : Manfred Gilli,Dietmar Maringer,Enrico Schumann
Publisher : Academic Press
Page : 638 pages
File Size : 52,8 Mb
Release : 2019-08-30
Category : Electronic
ISBN : 9780128150658

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Numerical Methods and Optimization in Finance by Manfred Gilli,Dietmar Maringer,Enrico Schumann Pdf

Computationally-intensive tools play an increasingly important role in financial decisions. Many financial problems-ranging from asset allocation to risk management and from option pricing to model calibration-can be efficiently handled using modern computational techniques. Numerical Methods and Optimization in Finance presents such computational techniques, with an emphasis on simulation and optimization, particularly so-called heuristics. This book treats quantitative analysis as an essentially computational discipline in which applications are put into software form and tested empirically. This revised edition includes two new chapters, a self-contained tutorial on implementing and using heuristics, and an explanation of software used for testing portfolio-selection models. Postgraduate students, researchers in programs on quantitative and computational finance, and practitioners in banks and other financial companies can benefit from this second edition of Numerical Methods and Optimization in Finance. Introduces numerical methods to readers with economics backgrounds Emphasizes core simulation and optimization problems Includes MATLAB and R code for all applications, with sample code in the text and freely available for download

Mathematical Modelling, Optimization, Analytic and Numerical Solutions

Pammy Manchanda,René Pierre Lozi,Abul Hasan Siddiqi
Mathematical Modelling Optimization Analytic and Numerical Solutions Book PDF

Author : Pammy Manchanda,René Pierre Lozi,Abul Hasan Siddiqi
Publisher : Springer Nature
Page : 431 pages
File Size : 43,9 Mb
Release : 2020-02-04
Category : Mathematics
ISBN : 9789811509285

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Mathematical Modelling, Optimization, Analytic and Numerical Solutions by Pammy Manchanda,René Pierre Lozi,Abul Hasan Siddiqi Pdf

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.

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 : 0 pages
File Size : 50,9 Mb
Release : 2016-09-27
Category : Technology & Engineering
ISBN : 9402406743

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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.

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 : 55,7 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

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 : 53,9 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 Optimization

Jorge Nocedal,Stephen Wright
Numerical Optimization Book PDF

Author : Jorge Nocedal,Stephen Wright
Publisher : Springer Science & Business Media
Page : 664 pages
File Size : 46,8 Mb
Release : 2006-12-11
Category : Mathematics
ISBN : 9780387400655

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Numerical Optimization by Jorge Nocedal,Stephen Wright Pdf

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.

Extended Abstracts Spring 2018

Andrei Korobeinikov,Magdalena Caubergh,Tomás Lázaro,Josep Sardanyés
Extended Abstracts Spring 2018 Book PDF

Author : Andrei Korobeinikov,Magdalena Caubergh,Tomás Lázaro,Josep Sardanyés
Publisher : Springer Nature
Page : 282 pages
File Size : 45,7 Mb
Release : 2019-09-03
Category : Mathematics
ISBN : 9783030252618

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Extended Abstracts Spring 2018 by Andrei Korobeinikov,Magdalena Caubergh,Tomás Lázaro,Josep Sardanyés Pdf

This volume contains extended abstracts outlining selected presentations delivered by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2018 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), dedicated to the mathematical theory and applications of the multiple scale systems, the systems with hysteresis and general trends in the dynamical systems theory. The workshop was jointly organized by the Centre de Recerca Matemàtica (CRM), Barcelona, and the Collaborative Research Center 910, Berlin, and held at the Centre de Recerca Matemàtica in Bellaterra, Barcelona, from May 28th to June 1st, 2018. This was the ninth workshop continuing a series of biennial meetings started in Ireland in 2002, and the second workshop of this series held at the CRM. Earlier editions of the workshops in this series were held in Cork, Pechs, Suceava, Lutherstadt and Berlin. The collection includes brief research articles reporting new results, descriptions of preliminary work, open problems, and the outcome of work in groups initiated during the workshop. Topics include analysis of hysteresis phenomena, multiple scale systems, self-organizing nonlinear systems, singular perturbations and critical phenomena, as well as applications of the hysteresis and the theory of singularly perturbed systems to fluid dynamics, chemical kinetics, cancer modeling, population modeling, mathematical economics, and control. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.

Numerical Solutions of Realistic Nonlinear Phenomena

J. A. Tenreiro Machado,Necati Özdemir,Dumitru Baleanu
Numerical Solutions of Realistic Nonlinear Phenomena Book PDF

Author : J. A. Tenreiro Machado,Necati Özdemir,Dumitru Baleanu
Publisher : Springer Nature
Page : 231 pages
File Size : 46,5 Mb
Release : 2020-02-19
Category : Mathematics
ISBN : 9783030371418

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Numerical Solutions of Realistic Nonlinear Phenomena by J. A. Tenreiro Machado,Necati Özdemir,Dumitru Baleanu Pdf

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.