
Numerical Control: Part B
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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.
Key Features
- 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
Readership
The targeted audience are mathematically trained research scientists and engineers with basic knowledge in numerical control systems.
Table of Contents
- 1. Control problems in the coefficients and the domain for linear elliptic equations
Juan Casado-Diaz
2. Computational approaches for extremal geometric eigenvalue problems
Edouard Oudet
3. Non-overlapping domain decomposition in space and time for PDE-constrained optimal control problems on networks
Guenter Leugering
4. Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid Dynamics
Michael Hinze
5. Stabilization of the Navier-Stokes equations - Theoretical and numerical aspects.
Jean-Pierre Raymond
6. Reconstruction algorithms based on Carleman estimates.
Sylvain Ervedoza
7. Discrete time formulations as time discretization strategies in data assimilation
Philippe Moireau
8. Back and forth iterations/Time reversal methods
Marius Tucsnak
9. Unbalanced Optimal Transport: from Theory to Numerics
Gabriel Peyré
10. An ADMM Approach to the Exact and Approximate Controllability of Parabolic Equations
Roland Glowinski
11. Nonlocal balance laws -- an overview over recent results
Alexander Keimer
12. Numerics and control of conservation laws
Stephan Ulbrich
13. Numerical approaches for simulation and control of superconducting quantum circuits
Pierre Rouchon
14. Numerical Synergies between Uncertainty Quantification and Control Design
Ralph Smith
15. Structure-Preserving Numerical Schemes for Hamiltonian Dynamics
Erwan Faou
16. Approximation of exact controls for semilinear wave and heat 1 equations through space-time methods
Arnaud Münch
17. Extensions of ADMM for Separable Convex Optimization Problems with Linear Equality or Inequality Constraints
Xiaoming Yuan
Product details
- No. of pages: 500
- Language: English
- Copyright: © North Holland 2023
- Published: January 1, 2023
- Imprint: North Holland
- Hardcover ISBN: 9780323850605
About the Editors
Emmanuel Trélat
Emmanuel Trelat works at Sorbonne Universite in Laboratoire Jacques-Louis Lions, CNRS, Inria, equipe CAGE, Paris, France.
Affiliations and Expertise
Sorbonne Universite, Laboratoire Jacques-Louis Lions, CNRS, Inria, équipe CAGE, Paris, France
Enrique Zuazua
Enrique Zuazua works in the Department of Mathematics at Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen in Germany.
Affiliations and Expertise
Department of Mathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany