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.
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Table of Contents
1. Optimal design problems through the homogenization methodJuan Casado-D�az, Manuel Luna-Laynez, and Faustino Maestre
2. Structure-preserving numerical schemes for Hamiltonian dynamics
Philippe Chartier and Erwan Faou
3. Relaxation methods for optimal switching control of PDE-dynamical systems
Falk M. Hante
4. Feedback control of time-dependent nonlinear PDEs with applications in fluid dynamics
Peter Benner and Michael Hinze
5. Computation of invariant sets for complex systems
Beno�t Legat and Rapha�l M. Jungers
6. Nonlocal balance laws an overview over recent results
Alexander Keimer and Lukas Pflug
7. Nonoverlapping domain decomposition and virtual controls for optimal control problems of p-type on metric graphs
G�nter Leugering
8. Filtration techniques for the uniform controllability of semidiscrete hyperbolic equations
Sorin Micu and Ionel Roventa
9. Discrete-time formulations as time discretization strategies in data assimilation
Philippe Moireau
10. Approximation of exact controls for semilinear wave and heat equations through space-time methods
Arnaud M�nch
11. Computational approaches for extremal geometric eigenvalue problems
Chiu-Yen Kao, Braxton Osting, and Edouard Oudet
12. Unbalanced Optimal Transport, from theory to numerics
Thibault S�journ�, Gabriel Peyr�, and Fran�ois-Xavier Vialard
13. Numerics and control of conservation laws
Michael Herty and Stefan Ulbrich
14. Extensions of ADMM for separable convex optimization problems with linear equality or inequality constraints
Bingsheng He, Shengjie Xu, and Xiaoming Yuan
15. An algorithmic guide for finite-dimensional optimal control problems
Jean-Baptiste Caillau, Roberto Ferretti, Emmanuel Tr�lat, and Hasnaa Zidani
