Numerical Control: Part B

Numerical Control: Part B

1st Edition - January 1, 2023

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  • Editors: Emmanuel Trélat, Enrique Zuazua
  • Hardcover ISBN: 9780323850605

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Description

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

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