Numerical Analysis and Optimization
NAO-III, Muscat, Oman, January 2014
Editors: Al-Baali, Mehiddin, Grandinetti, Lucio, Purnama, Anton (Eds.)
Free Preview- Presents new applications of computational optimization methods
- Contributors represent an international community of experts
- Relevant to researchers in fields including Mathematics, Engineering, and Biology
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- About this book
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Presenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis of complex datasets.
Many real-world complex problems can be formulated as optimization tasks. Such problems can be characterized as large scale, unconstrained, constrained, non-convex, non-differentiable, and 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 on the cloud, devising special techniques for supercomputing systems.
The list of topics covered include, but are not limited to: numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, algorithms and software developments, derivative free optimization methods and programming models. The volume also examines challenging applications to various types of computational optimization methods which usually occur in statistics, econometrics, finance, physics, medicine, biology, engineering and industrial sciences.
- Table of contents (13 chapters)
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A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization
Pages 1-35
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Runge–Kutta Methods for Ordinary Differential Equations
Pages 37-58
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A Positive Barzilai–Borwein-Like Stepsize and an Extension for Symmetric Linear Systems
Pages 59-75
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Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations
Pages 77-94
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The AMPL Modeling Language: An Aid to Formulating and Solving Optimization Problems
Pages 95-116
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Table of contents (13 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Numerical Analysis and Optimization
- Book Subtitle
- NAO-III, Muscat, Oman, January 2014
- Editors
-
- Mehiddin Al-Baali
- Lucio Grandinetti
- Anton Purnama
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 134
- Copyright
- 2015
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-17689-5
- DOI
- 10.1007/978-3-319-17689-5
- Hardcover ISBN
- 978-3-319-17688-8
- Softcover ISBN
- 978-3-319-35910-6
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- XII, 344
- Number of Illustrations
- 18 b/w illustrations, 56 illustrations in colour
- Topics
