Numerical Control: Part B

by Emmanuel Trélat (Editor), Enrique Zuazua (Editor)

Overview

Numerical Control: Part B, Volume 24 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Control problems in the coefficients and the domain for linear elliptic equations, Computational approaches for extremal geometric eigenvalue problems, Non-overlapping domain decomposition in space and time for PDE-constrained optimal control problems on networks, Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid Dynamics, Stabilization of the Navier-Stokes equations - Theoretical and numerical aspects, Reconstruction algorithms based on Carleman estimates, and more. Other sections cover Discrete time formulations as time discretization strategies in data assimilation, Back and forth iterations/Time reversal methods, Unbalanced Optimal Transport: from Theory to Numerics, An ADMM Approach to the Exact and Approximate Controllability of Parabolic Equations, Nonlocal balance laws -- an overview over recent results, Numerics and control of conservation laws, Numerical approaches for simulation and control of superconducting quantum circuits, and much more. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Handbook of Numerical Analysis series - Updated release includes the latest information on Numerical Control

Product Details

ISBN-13:	9780323858267
Publisher:	North Holland
Publication date:	02/20/2023
Series:	Handbook of Numerical Analysis , #24
Sold by:	Barnes & Noble
Format:	eBook
Pages:	662
File size:	25 MB
Note:	This product may take a few minutes to download.

About the Author

Emmanuel Trelat works at Sorbonne Universite in Laboratoire Jacques-Louis Lions, CNRS, Inria, equipe CAGE, Paris, France.
Enrique Zuazua works in the Department of Mathematics at Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen in Germany.

Table of Contents

1. Optimal design problems through the homogenization methodJuan Casado-Díaz, Manuel Luna-Laynez, and Faustino Maestre2. Structure-preserving numerical schemes for Hamiltonian dynamicsPhilippe Chartier and Erwan Faou3. Relaxation methods for optimal switching control of PDE-dynamical systemsFalk M. Hante4. Feedback control of time-dependent nonlinear PDEs with applications in fluid dynamicsPeter Benner and Michael Hinze5. Computation of invariant sets for complex systemsBenoît Legat and Raphaël M. Jungers6. Nonlocal balance laws – an overview over recent resultsAlexander Keimer and Lukas Pflug7. Nonoverlapping domain decomposition and virtual controls for optimal control problems of p-type on metric graphsGünter Leugering8. Filtration techniques for the uniform controllability of semidiscrete hyperbolic equationsSorin Micu and Ionel Roventa9. Discrete-time formulations as time discretization strategies in data assimilationPhilippe Moireau10. Approximation of exact controls for semilinear wave and heat equations through space-time methodsArnaud Münch11. Computational approaches for extremal geometric eigenvalue problemsChiu-Yen Kao, Braxton Osting, and Edouard Oudet12. Unbalanced Optimal Transport, from theory to numericsThibault Séjourné, Gabriel Peyré, and François-Xavier Vialard13. Numerics and control of conservation lawsMichael Herty and Stefan Ulbrich14. Extensions of ADMM for separable convex optimization problems with linear equality or inequality constraintsBingsheng He, Shengjie Xu, and Xiaoming Yuan15. An algorithmic guide for finite-dimensional optimal control problemsJean-Baptiste Caillau, Roberto Ferretti, Emmanuel Trélat, and Hasnaa Zidani

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From the Publisher

Edited by one of the best scientists in the field, this series presents the latest updates in the field of numerical analysis