|
Showing 1 - 6 of
6 matches in All Departments
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.
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.
This special volume focuses on optimization and control of
processes governed by partial differential equations. The
contributors are mostly participants of the DFG-priority program
1253: Optimization with PDE-constraints which is active since 2006.
The book is organized in sections which cover almost the entire
spectrum of modern research in this emerging field. Indeed, even
though the field of optimal control and optimization for
PDE-constrained problems has undergone a dramatic increase of
interest during the last four decades, a full theory for nonlinear
problems is still lacking. The contributions of this volume, some
of which have the character of survey articles, therefore, aim at
creating and developing further new ideas for optimization, control
and corresponding numerical simulations of systems of possibly
coupled nonlinear partial differential equations. The research
conducted within this unique network of groups in more than fifteen
German universities focuses on novel methods of optimization,
control and identification for problems in infinite-dimensional
spaces, shape and topology problems, model reduction and
adaptivity, discretization concepts and important applications.
Besides the theoretical interest, the most prominent question is
about the effectiveness of model-based numerical optimization
methods for PDEs versus a black-box approach that uses existing
codes, often heuristic-based, for optimization.
A survey book focusing on the key relationships and synergies
between automatic differentiation (AD) tools and other software
tools, such as compilers and parallelizers, as well as their
applications. The key objective is to survey the field and present
the recent developments. In doing so the topics covered shed light
on a variety of perspectives. They reflect the mathematical
aspects, such as the differentiation of iterative processes, and
the analysis of nonsmooth code. They cover the scientific
programming aspects, such as the use of adjoints in optimization
and the propagation of rounding errors. They also cover
"implementation" problems.
This special volume focuses on optimization and control of
processes governed by partial differential equations. The
contributors are mostly participants of the DFG-priority program
1253: Optimization with PDE-constraints which is active since 2006.
The book is organized in sections which cover almost the entire
spectrum of modern research in this emerging field. Indeed, even
though the field of optimal control and optimization for
PDE-constrained problems has undergone a dramatic increase of
interest during the last four decades, a full theory for nonlinear
problems is still lacking. The contributions of this volume, some
of which have the character of survey articles, therefore, aim at
creating and developing further new ideas for optimization, control
and corresponding numerical simulations of systems of possibly
coupled nonlinear partial differential equations. The research
conducted within this unique network of groups in more than fifteen
German universities focuses on novel methods of optimization,
control and identification for problems in infinite-dimensional
spaces, shape and topology problems, model reduction and
adaptivity, discretization concepts and important applications.
Besides the theoretical interest, the most prominent question is
about the effectiveness of model-based numerical optimization
methods for PDEs versus a black-box approach that uses existing
codes, often heuristic-based, for optimization.
Automatic Differentiation (AD) is a maturing computational technology and has become a mainstream tool used by practicing scientists and computer engineers. The rapid advance of hardware computing power and AD tools has enabled practitioners to quickly generate derivative-enhanced versions of their code for a broad range of applications in applied research and development. "Automatic Differentiation of Algorithms" provides a comprehensive and authoritative survey of all recent developments, new techniques, and tools for AD use. The book covers all aspects of the subject: mathematics, scientific programming ( i.e., use of adjoints in optimization) and implementation (i.e., memory management problems). A strong theme of the book is the relationships between AD tools and other software tools, such as compilers and parallelizers. A rich variety of significant applications are presented as well, including optimum-shape design problems, for which AD offers more efficient tools and techniques. Topics and features: * helpful introductory AD survey chapter for brief overview of the field *extensive applications chapters, i.e., for circuit simulation, optimization and optimal-control shape design, structural mechanics, and multibody dynamical systems modeling *comprehensive bibliography for all current literature and results for the field *performance issues *optimal control sensitivity analysis *AD use with object oriented software tool kits The book is an ideal and accessible survey of recent developments and applications of AD tools and techniques for a broad scientific computing and computer engineering readership. Practitioners, professionals, and advanced graduates working in AD development will find the book a useful reference and essential resource for their work.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|