Control and Optimization with PDE Constraints, 1st Edition

  • Published By:
  • ISBN-10: 3034806310
  • ISBN-13: 9783034806312
  • DDC: 515.353
  • Grade Level Range: College Freshman - College Senior
  • 215 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Other Frontmatter.
Title Page.
Copyright Page.
1: An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations.
2: Generalized Sensitivity Analysis for Delay Differential Equations.
3: Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives.
4: Nonsmooth Optimization Method and Sparsity.
5: Parareal in Time Intermediate Targets Methods for Optimal Control Problems.
6: Hamilton-Jacobi-Bellman Equations on Multi-domains.
7: Gradient Computation for Model Calibration with Pointwise Observations.
8: Numerical Analysis of POD A-posteriori Error Estimation for Optimal Control.
9: Cubature on C1 Space.
10: A Globalized Newton Method for the Optimal Control of Fermionic Systems.
11: A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains.