Control and Optimization with PDE Constraints

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bredies, Kristian. (Editor), Clason, Christian. (Editor), Kunisch, Karl. (Editor), Winckel, Gregory. (Editor)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: International Series of Numerical Mathematics ; 164
• Subjects: Mathematics.; Differential equations, partial.; Computer science > Mathematics.; Numerical analysis.; Mathematical optimization.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.; Computational Mathematics and Numerical Analysis.; Numerical Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0631-2

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...

Table of Contents:

• Preface
• An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations (A. Alla and M. Falcone)
• Generalized Sensitivity Analysis for Delay Differential Equations (H. T. Banks, D. Robbins and K. L. Sutton)
• Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives (S. Beckers and M. Yamamoto)
• Nonsmooth Optimization Method and Sparsity (K. Ito)
• Parareal in Time Intermediate Targets Methods for Optimal Control Problem (Y. Maday, M
• K. Riahi and J. Solomon)
• Hamilton<U+0013>Jacobi<U+0013>Bellman Equations on Multi-Domains (Z. Rao and H. Zidani)
• Gradient Computation for Model Calibration with Pointwise Observations (E. W. Sachs and M. Schu)
• Numerical Analysis of POD A-Posteriori Error Estimation for Optimal Control (A. Studinger and S. Volkwein)
• Cubature on C1 Space (G. Turinici)
• A Globalized Newton Method for the Optimal Control of Fermionic Systems (G. von Winckel)
• A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains (W. Wollner).