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Optimization and Control for Partial Differential Equations - Uncertainty quantification, open and closed-loop control, and... Optimization and Control for Partial Differential Equations - Uncertainty quantification, open and closed-loop control, and shape optimization (Hardcover)
Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trelat
R4,091 R3,580 Discovery Miles 35 800 Save R511 (12%) Ships in 10 - 15 working days

This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Large-Scale PDE-Constrained Optimization (Paperback, Softcover reprint of the original 1st ed. 2003): Lorenz T. Biegler, Omar... Large-Scale PDE-Constrained Optimization (Paperback, Softcover reprint of the original 1st ed. 2003)
Lorenz T. Biegler, Omar Ghattas, Matthias Heinkenschloss, Bart Van Bloemen Waanders
R4,500 Discovery Miles 45 000 Ships in 10 - 15 working days

Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. With the maturing of technology for PDE simulation, interest has now increased in PDE-based optimization. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them. These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research.

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