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Geometric Partial Differential Equations - Part 2 - 1st Edition - ISBN: 9780444643056

Geometric Partial Differential Equations - Part 2, Volume 22

1st Edition

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Serial Editors: Andrea Bonito Ricardo Nochetto
Hardcover ISBN: 9780444643056
Imprint: North Holland
Published Date: 10th January 2021
Page Count: 500
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Table of Contents

1. Optimal control of geometric partial differential equations
Michael Hintermueller
2. Shape optimization
Grégoire Allaire
3. Total variation minimization
Antonin Chambolle
4. Numerical relativity
M. Holst
5. Numerical Simulation and Bench- marking of Drops and Bubbles
Stefan Turek
6. Optimal Transport
Quentin Merigot
7. Gradient flows
J. carrillo
8. Isogeometric Analysis
Giancarlo Sangalli
9. Liquid Crystals
Shaw Walker


Description

Geometric Partial Differential Equations - Part 2, Volume 22  includes basic ideas, analyses and applications of state-of-the-art, fundamental algorithms surrounding the approximation of geometric PDEs, along with their impact in a variety of fields within mathematics, science and engineering. Chapters in this latest release include Optimal control of geometric partial differential equations, Shape optimization, Total variation minimization, Numerical relativity, Numerical Simulation and Bench- marking of Drops and Bubbles, Optimal Transport, Gradient flows, Isogeometric Analysis, Liquid Crystals, and more.

Key Features

  • Includes sections on Optimal control of geometric partial differential equations, Shape optimization, Total variation minimization, Numerical relativity, and more
  • Provides a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications
  • Authored by world leaders in their field of expertise and skillful writers

Readership

Mathematically trained research scientists and engineers with basic knowledge in partial differential equations and their numerical approximations


Details

No. of pages:
500
Language:
English
Copyright:
© North Holland 2021
Published:
10th January 2021
Imprint:
North Holland
Hardcover ISBN:
9780444643056

Ratings and Reviews


About the Serial Editors

Andrea Bonito

Andrea Bonito is professor in the Department of Mathematics at Texas A&M University. Together with Ricardo H. Nochetto they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.

Affiliations and Expertise

Department of Mathematics, Texas A&M University, USA

Ricardo Nochetto

Ricardo H. Nochetto is professor in the Department of Mathematics and the Institute for Physical Science and Technology at the University of Maryland, College Park. Together with Andrea Bonito they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.

Affiliations and Expertise

Institute for Physical Science and Technology, University of Maryland, USA