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Numerical PDE-Constrained Optimization
This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and n…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13394-2
- Collation
- X, 123
- Series Title
- SpringerBriefs in Optimization
- Call Number
- -
Numerical Optimization with Computational Errors
This book studies the approximate solutions of optimization problems in the presence of computational errors. A number of results are presented on the convergence behavior of algorithms in a Hilbert space; these algorithms are examined taking into account computational errors. The author illustrates that algorithms generate a good approximate solution, if computational errors are bounded from a…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-30920-0
- Collation
- IX, 304
- Series Title
- Springer Optimization and Its Applications
- Call Number
- -
Numerical Methods in Matrix Computations
Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and compl…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-05088-1
- Collation
- XVI, 800
- Series Title
- Texts in Applied Mathematics
- Call Number
- -
Numerical Methods for Reliability and Safety Assessment: Multiscale and Multi…
This book offers unique insight on structural safety and reliability by combining computational methods that address multiphysics problems, involving multiple equations describing different physical phenomena and multiscale problems, involving discrete sub-problems that together describe important aspects of a system at multiple scales. The book examines a range of engineering domains and probl…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-07166-4
- Collation
- XVIII, 805
- Series Title
- -
- Call Number
- -
Numerical Methods for Nonlinear Partial Differential Equations
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devis…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-13796-4
- Collation
- X, 393
- Series Title
- Springer Series in Computational Mathematics
- Call Number
- -
Numerical Methods and Applications:8th International Conference, NMA 2014, Bo…
This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Numerical Methods and Applications, NMA 2014, held in Borovets, Bulgaria, in August 2014. The 34 revised full papers presented were carefully reviewed and selected from 56 submissions for inclusion in this book. The papers are organized in the following topical sections: Monte Carlo …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-15584-5
- Collation
- XII, 313
- Series Title
- Theoretical Computer Science and General Issues
- Call Number
- -
Numerical Methods and Modelling for Engineering
This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent real-world systems and compute features of these systems with a predictable error rate. Each method …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-21175-6
- Collation
- XVII, 332
- Series Title
- -
- Call Number
- -
Numerical Mathematics and Advanced Applications ENUMATH 2015
The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Gra…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-39927-0
- Collation
- XIV, 643
- Series Title
- Lecture Notes in Computational Science and Engineering
- Call Number
- -
Numerical Approximation of Partial Differential Equations
Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementa…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-32353-4
- Collation
- XV, 535
- Series Title
- Texts in Applied Mathematics
- Call Number
- -
Numerical Analysis and Optimization: NAO-III, Muscat, Oman, January 2014
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 o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17688-8
- Collation
- XII, 344
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- -
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