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 INDICE: 1. Control problems in the coefficients and the domain for linear elliptic equationsJuan Casado-Diaz2. Computational approaches for extremal geometric eigenvalue problemsEdouard Oudet3. Non-overlapping domain decomposition in space and time for PDE-constrained optimal control problems on networksGuenter Leugering4. Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid DynamicsMichael Hinze5. Stabilization of the Navier-Stokes equations - Theoretical and numerical aspects.Jean-Pierre Raymond6. Reconstruction algorithms based on Carleman estimates. Sylvain Ervedoza7. Discrete time formulations as time discretization strategies in data assimilationPhilippe Moireau8. Back and forth iterations/Time reversal methods Marius Tucsnak9. Unbalanced Optimal Transport: from Theory to NumericsGabriel Peyré10. An ADMM Approach to the Exact and Approximate Controllability of Parabolic EquationsRoland Glowinski11. Nonlocal balance laws -- an overview over recent resultsAlexander Keimer12. Numerics and control of conservation lawsStephan Ulbrich13. Numerical approaches for simulation and control of superconducting quantum circuitsPierre Rouchon14. Numerical Synergies between Uncertainty Quantification and Control DesignRalph Smith15. Structure-Preserving Numerical Schemes for Hamiltonian DynamicsErwan Faou16. Approximation of exact controls for semilinear wave and heat 1 equations through space-time methodsArnaud Münch17. Extensions of ADMM for Separable Convex Optimization Problems with Linear Equality or Inequality ConstraintsXiaoming Yuan
- ISBN: 978-0-323-85060-5
- Editorial: North Holland
- Encuadernacion: Cartoné
- Páginas: 500
- Fecha Publicación: 01/03/2023
- Nº Volúmenes: 1
- Idioma: Inglés