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This book offers a comprehensive collection of the most advanced
numerical techniques for the efficient and effective solution of
simulation and optimization problems governed by systems of
time-dependent differential equations. The contributions present
various approaches to time domain decomposition, focusing on
multiple shooting and parareal algorithms. The range of topics
covers theoretical analysis of the methods, as well as their
algorithmic formulation and guidelines for practical
implementation. Selected examples show that the discussed
approaches are mandatory for the solution of challenging practical
problems. The practicability and efficiency of the presented
methods is illustrated by several case studies from fluid dynamics,
data compression, image processing and computational biology,
giving rise to possible new research topics. This volume, resulting
from the workshop Multiple Shooting and Time Domain Decomposition
Methods, held in Heidelberg in May 2013, will be of great interest
to applied mathematicians, computer scientists and all scientists
using mathematical methods.
This book offers a comprehensive collection of the most advanced
numerical techniques for the efficient and effective solution of
simulation and optimization problems governed by systems of
time-dependent differential equations. The contributions present
various approaches to time domain decomposition, focusing on
multiple shooting and parareal algorithms. The range of topics
covers theoretical analysis of the methods, as well as their
algorithmic formulation and guidelines for practical
implementation. Selected examples show that the discussed
approaches are mandatory for the solution of challenging practical
problems. The practicability and efficiency of the presented
methods is illustrated by several case studies from fluid dynamics,
data compression, image processing and computational biology,
giving rise to possible new research topics. This volume, resulting
from the workshop Multiple Shooting and Time Domain Decomposition
Methods, held in Heidelberg in May 2013, will be of great interest
to applied mathematicians, computer scientists and all scientists
using mathematical methods.
This judicious selection of articles combines mathematical and
numerical methods to apply parameter estimation and optimum
experimental design in a range of contexts. These include fields as
diverse as biology, medicine, chemistry, environmental physics,
image processing and computer vision. The material chosen was
presented at a multidisciplinary workshop on parameter estimation
held in 2009 in Heidelberg. The contributions show how
indispensable efficient methods of applied mathematics and
computer-based modeling can be to enhancing the quality of
interdisciplinary research. The use of scientific computing to
model, simulate, and optimize complex processes has become a
standard methodology in many scientific fields, as well as in
industry. Demonstrating that the use of state-of-the-art
optimization techniques in a number of research areas has much
potential for improvement, this book provides advanced numerical
methods and the very latest results for the applications under
consideration.
This judicious selection of articles combines mathematical and
numerical methods to apply parameter estimation and optimum
experimental design in a range of contexts. These include fields as
diverse as biology, medicine, chemistry, environmental physics,
image processing and computer vision. The material chosen was
presented at a multidisciplinary workshop on parameter estimation
held in 2009 in Heidelberg. The contributions show how
indispensable efficient methods of applied mathematics and
computer-based modeling can be to enhancing the quality of
interdisciplinary research. The use of scientific computing to
model, simulate, and optimize complex processes has become a
standard methodology in many scientific fields, as well as in
industry. Demonstrating that the use of state-of-the-art
optimization techniques in a number of research areas has much
potential for improvement, this book provides advanced numerical
methods and the very latest results for the applications under
consideration.
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