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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.

Mathematics - General --- Mathematics --- Physical Sciences & Mathematics --- Decomposition method --- Differential equations --- Differential equations, Partial --- 517.91 Differential equations --- Method, Decomposition --- Mathematics. --- Numerical analysis. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Calculus of variations. --- Fluid mechanics. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Numeric Computing. --- Engineering Fluid Dynamics. --- Applications of Mathematics. --- Operations research --- Programming (Mathematics) --- System analysis --- Computer science --- Differential equations, partial. --- Mathematical optimization. --- Electronic data processing. --- Hydraulic engineering. --- Math --- Science --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Simulation methods --- Partial differential equations --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Automation --- Engineering analysis --- Hydromechanics --- Continuum mechanics --- Isoperimetrical problems --- Variations, Calculus of

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• Reference Manager
• EndNote
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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.

Decomposition (Mathematics). --- Mathematics. --- Programming (Mathematics). --- Parameter estimation --- Differential equations --- Simulation methods --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematical Statistics --- Stochastic systems. --- Parameter estimation. --- Systems, Stochastic --- Differential equations. --- Partial differential equations. --- Computer mathematics. --- Numerical analysis. --- Mathematical models. --- Calculus of variations. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Numerical Analysis. --- Computational Science and Engineering. --- Mathematical Modeling and Industrial Mathematics. --- Calculus of Variations and Optimal Control; Optimization. --- Stochastic processes --- System analysis --- Estimation theory --- Stochastic systems --- Differential Equations. --- Differential equations, partial. --- Computer science. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Partial differential equations --- 517.91 Differential equations --- Informatics --- Science --- Isoperimetrical problems --- Variations, Calculus of --- Models, Mathematical --- Computer mathematics --- Electronic data processing