Numerical Optimization

Filename: numerical-optimization.pdf
ISBN: 9780387400655
Release Date: 2006-12-11
Number of pages: 664
Author: Jorge Nocedal
Publisher: Springer Science & Business Media

Download and read online Numerical Optimization in PDF and EPUB 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.


Nichtlineare Optimierung

Filename: nichtlineare-optimierung.pdf
ISBN: 9783827429490
Release Date: 2012-10-10
Number of pages: 383
Author: Rüdiger Reinhardt
Publisher: Springer-Verlag

Download and read online Nichtlineare Optimierung in PDF and EPUB In den Ingenieur-, Natur- oder Wirtschaftswissenschaften ist es oft erforderlich, für ein spezifisches Problem die bestmögliche Lösung zu finden. Lässt sich dieses Problem mathematisch formulieren, dann stellt die mathematische Optimierung eine Reihe von Verfahren zur Verfügung, die zur Problemlösung angewendet werden können. Oftmals fällt es jedoch schwer, das passende Verfahren aus dem großen Angebot auszuwählen. Dieses Buch bietet dem Leser eine ausführliche, zeitgemäße, anschauliche und verständliche Einführung in die Theorie und die wichtigsten Verfahren der unrestringierten und restringierten glatten nichtlinearen Optimierung einschließlich zugehöriger Algorithmen. Großen Raum nehmen dabei numerische Experimente auf MATLAB-Basis ein, in denen vorgestellte Verfahren auf ausgewählte Beispielprobleme angewendet werden, um zu zeigen, welche Vor- aber auch Nachteile die jeweiligen Verfahren besitzen. Alle Experimente wurden durch Starten von editierbaren MATLAB-Quellfiles unter dem von uns entwickelten Programmpaket EDULAB ausgeführt. Dieses Paket und die Experimentierdateien sowie die Lösung der Übungsaufgaben werden auf einer eigens diesem Buch gewidmeten Homepage zur Verfügung gestellt. Damit kann der Leser ohne Programmieraufwand unsere Experimente am Computer an über 200 Beispielproblemen selbst erleben und anschaulich sehen, was die Veränderung von Parametern in Optimierungsroutinen bei der Lösung eines Optimierungsproblems bewirken kann. Studierende und Praktiker lernen den sachgerechten Umgang mit Optimierungsroutinen. Lehrende erhalten ein Werkzeug zur tabellarischen und grafischen Veranschaulichung von Optimierungsverfahren. Forschende können in EDULAB neue Verfahren unter Erhalt der grafischen und tabellarischen Ausgaben einbinden und testen.


Theorie und Numerik restringierter Optimierungsaufgaben

Filename: theorie-und-numerik-restringierter-optimierungsaufgaben.pdf
ISBN: 9783642560040
Release Date: 2013-03-07
Number of pages: 487
Author: Carl Geiger
Publisher: Springer-Verlag

Download and read online Theorie und Numerik restringierter Optimierungsaufgaben in PDF and EPUB Aufbauend auf Vorlesungen an den Universitäten Hamburg und Trier stellen die Autoren die „Theorie und Numerik restringierter Optimierungsaufgaben" umfassend dar. Ausführlich behandelt werden lineare Programme, Simplex-Verfahren und Innere-Punkte-Methoden, Optimalitätsbedingungen, nichtlineare restringierte Programme, nichtglatte Optimierung sowie Variationsungleichungen. Mit ca. 140 Aufgaben unterschiedlichen Schwierigkeitsgrades.


Optimierung in C

Filename: optimierung-in-c.pdf
ISBN: 9783527800797
Release Date: 2016-11-02
Number of pages: 600
Author: Claus Richter
Publisher: John Wiley & Sons

Download and read online Optimierung in C in PDF and EPUB Die Optimierung ist einer der bedeutendsten Zweige der Mathematik mit weitreichenden Anwendungen in der Statistik, Physik, Meteorologie bis hin zur Wirtschaft und Unternehmensforschung. Ziel der Optimierung ist eine Minimierung oder Maximierung der im jeweiligen System relevanten Parameter unter einschr?nkenden Nebenbedingungen. Praxisbezogen f?hrt Claus Richter in die Algorithmen der Optimierung ein. Einsteiger und Fortgeschrittene werden gleicherma?en auf den heutigen Stand der Dinge gebracht. In klaren Schritten umrei?t der Autor die Grundlagen dieses Gebietes, beginnend mit Definitionen und Optimalit?tsbedingungen, um sich dann direkt an den C++-Programmierer zu wenden. Der n?tige mathematische Apparat, die verwendete Programmiersprache C++ und ihre Klassen werden vorgestellt. Damit stellt der Autor ein einheitliches Niveau her und wird so einer breiten Leserschaft gerecht. Im Folgenden werden 20 Verfahren der linearen, quadratischen und nichtlinearen Optimierung behandelt und dem Anwender n?hergebracht. Jeder Algorithmus wird im Aufbau erl?utert und an einem konkreten Beispiel demonstriert. F?nf weitere Kapitel widmen sich anwendungsbezogenen Sachverhalten, u.a. der Parameteridentifikation, optimalen Steuerung und Strukturoptimierung. Durch die Bereitstellung der diskutierten Algorithmen und Beispiele als C++-Klassen gew?hrleistet das Buch einen optimalen Einstieg in die Optimierung. Mit C++-Programmen zum Download unter www.wiley-vch.de/publish/dt/books/ISBN3-527-34107-2.


Bildregistrierung f r die navigierte Chirurgie

Filename: bildregistrierung-f-r-die-navigierte-chirurgie.pdf
ISBN: 9783658056551
Release Date: 2014-04-08
Number of pages: 267
Author: Janine Olesch
Publisher: Springer-Verlag

Download and read online Bildregistrierung f r die navigierte Chirurgie in PDF and EPUB Die einzig anerkannte, kurative Therapieform zur Behandlung primärer und sekundärer Lebertumore ist die chirurgische Resektion. Nicht alle Tumore sind aufgrund ihrer Lage resektabel. Eine Navigationsunterstützung kann hier Abhilfe leisten. Exakte Bildregistrierungsverfahren für die Registrierung von Gefäßbäumen aus CT und Ultraschall sind dazu jedoch unerlässlich. Janine Olesch stellt Verfahren vor, mit deren Hilfe im intra-operativen Kontext eine Nachführung der Planungsdaten an die intra-operative Situation gelingt. Neben der Technik der Registrierung mit inexakten Landmarken beschreibt die Autorin auch das Konzept der 2D-3D-Registrierung. Zur methodischen Beschleunigung der Verfahren kommt eine Fokussierungsstrategie zur Registrierung besonders interessanter Regionen zum Einsatz.​


Optimization and Approximation

Filename: optimization-and-approximation.pdf
ISBN: 9783319648439
Release Date: 2017-09-07
Number of pages: 254
Author: Pablo Pedregal
Publisher: Springer

Download and read online Optimization and Approximation in PDF and EPUB This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.


Recent Advances in Optimization and its Applications in Engineering

Filename: recent-advances-in-optimization-and-its-applications-in-engineering.pdf
ISBN: 3642125980
Release Date: 2010-09-21
Number of pages: 535
Author: Moritz Diehl
Publisher: Springer Science & Business Media

Download and read online Recent Advances in Optimization and its Applications in Engineering in PDF and EPUB 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.


Modelling Computation and Optimization in Information Systems and Management Sciences

Filename: modelling-computation-and-optimization-in-information-systems-and-management-sciences.pdf
ISBN: 9783319181615
Release Date: 2015-05-04
Number of pages: 528
Author: Hoai An Le Thi
Publisher: Springer

Download and read online Modelling Computation and Optimization in Information Systems and Management Sciences in PDF and EPUB This proceedings set contains 85 selected full papers presented at the 3rd International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences - MCO 2015, held on May 11–13, 2015 at Lorraine University, France. The present part I of the 2 volume set includes articles devoted to Combinatorial optimization and applications, DC programming and DCA: thirty years of Developments, Dynamic Optimization, Modelling and Optimization in financial engineering, Multiobjective programming, Numerical Optimization, Spline Approximation and Optimization, as well as Variational Principles and Applications.


Trends in PDE Constrained Optimization

Filename: trends-in-pde-constrained-optimization.pdf
ISBN: 9783319050836
Release Date: 2014-12-22
Number of pages: 543
Author: Günter Leugering
Publisher: Springer

Download and read online Trends in PDE Constrained Optimization in PDF and EPUB Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with Partial Differential Equations” from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics. The book is divided into five sections on “Constrained Optimization, Identification and Control”, “Shape and Topology Optimization”, “Adaptivity and Model Reduction”, “Discretization: Concepts and Analysis” and “Applications”. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs.


Numerical Analysis and Optimization

Filename: numerical-analysis-and-optimization.pdf
ISBN: 9780199205219
Release Date: 2007-05-24
Number of pages: 455
Author: Grégoire Allaire
Publisher: Oxford University Press

Download and read online Numerical Analysis and Optimization in PDF and EPUB 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.


Numerical Models for Differential Problems

Filename: numerical-models-for-differential-problems.pdf
ISBN: 9788847055223
Release Date: 2014-04-25
Number of pages: 658
Author: Alfio Quarteroni
Publisher: Springer Science & Business

Download and read online Numerical Models for Differential Problems in PDF and EPUB In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.


Condition

Filename: condition.pdf
ISBN: 9783642388965
Release Date: 2013-08-15
Number of pages: 554
Author: Peter Bürgisser
Publisher: Springer Science & Business Media

Download and read online Condition in PDF and EPUB This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming.


Scientific Computing with MATLAB and Octave

Filename: scientific-computing-with-matlab-and-octave.pdf
ISBN: 9783642453670
Release Date: 2014-02-20
Number of pages: 450
Author: Alfio Quarteroni
Publisher: Springer Science & Business Media

Download and read online Scientific Computing with MATLAB and Octave in PDF and EPUB This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.


System Modeling and Optimization

Filename: system-modeling-and-optimization.pdf
ISBN: 9783319557953
Release Date: 2017-04-10
Number of pages: 530
Author: Lorena Bociu
Publisher: Springer

Download and read online System Modeling and Optimization in PDF and EPUB This book is a collection of thoroughly refereed papers presented at the 27th IFIP TC 7 Conference on System Modeling and Optimization, held in Sophia Antipolis, France, in June/July 2015. The 48 revised papers were carefully reviewed and selected from numerous submissions. They cover the latest progress in their respective areas and encompass broad aspects of system modeling and optimiza-tion, such as modeling and analysis of systems governed by Partial Differential Equations (PDEs) or Ordinary Differential Equations (ODEs), control of PDEs/ODEs, nonlinear optimization, stochastic optimization, multi-objective optimization, combinatorial optimization, industrial applications, and numericsof PDEs.


Discrete Optimization and Operations Research

Filename: discrete-optimization-and-operations-research.pdf
ISBN: 9783319449142
Release Date: 2016-09-09
Number of pages: 586
Author: Yury Kochetov
Publisher: Springer

Download and read online Discrete Optimization and Operations Research in PDF and EPUB This book constitutes the proceedings of the 9th International Conference on Discrete Optimization and Operations Research, DOOR 2016, held in Vladivostok, Russia, in September 2016. The 39 full papers presented in this volume were carefully reviewed and selected from 181 submissions. They were organized in topical sections named: discrete optimization; scheduling problems; facility location; mathematical programming; mathematical economics and games; applications of operational research; and short communications.