| Description |
1 online resource (x, 215 pages) : illustrations (some color) |
| Series |
International Series of Numerical Mathematics ; v. 164 |
|
International series of numerical mathematics ; v. 164.
|
| Contents |
An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations / Alessandro Alla, Maurizio Falcone -- Generalized Sensitivity Analysis for Delay Differential Equations / H.T. Banks, Danielle Robbins -- Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives / Susanne Beckers, Masahiro Yamamoto -- Nonsmooth Optimization Method and Sparsity / Kazufumi Ito -- Parareal in Time Intermediate Targets Methods for Optimal Control Problems / Yvon Maday, Mohamed-Kamel Riahi -- Hamilton-Jacobi-Bellman Equations on Multi-domains / Zhiping Rao, Hasnaa Zidani -- Gradient Computation for Model Calibration with Pointwise Observations / Ekkehard W. Sachs, Matthias Schu -- Numerical Analysis of POD A-posteriori Error Estimation for Optimal Control / Alina Studinger, Stefan Volkwein -- Cubature on C 1 Space / Gabriel Turinici -- A Globalized Newton Method for the Optimal Control of Fermionic Systems / Gregory von Winckel -- A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains / Winnifried Wollner |
| Summary |
Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton-Jacobi-Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the "International Workshop on Control and Optimization of PDEs" in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful |
| Analysis |
Differential equations, partial |
|
Computer science -- Mathematics |
|
Numerical analysis |
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Mathematical optimization |
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Calculus of Variations and Optimal Control; Optimization |
|
Partial Differential Equations |
|
Computational Mathematics and Numerical Analysis |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| In |
Springer eBooks |
| Subject |
Differential equations, Partial.
|
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Mathematical optimization.
|
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Computer algorithms.
|
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Algorithms.
|
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Algorithms
|
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algorithms.
|
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MATHEMATICS -- Differential Equations -- Partial.
|
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Ecuaciones en derivadas parciales
|
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Optimización matemática
|
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Algoritmos computacionales
|
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Algoritmos
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Computer algorithms
|
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Algorithms
|
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Differential equations, Partial
|
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Mathematical optimization
|
| Form |
Electronic book
|
| Author |
Bredies, Kristian.
|
|
International Workshop on Control and Optimization of PDEs (2011 : Graz, Austria)
|
| ISBN |
9783034806312 |
|
3034806310 |
|
3034806302 |
|
9783034806305 |
|
