Geometric Partial Differential Equations: Part I

Numerical Analysis is here understood as the part of Mathematics that describes and analyzes all the numerical schemes that are used on computers; its objective consists in obtaining a clear, precise, and faithful, representation of all the information contained in a mathematical model; as such, it is the natural extension of more classical tools, such as analytic solutions, special transforms, functional analysis, as well as stability and asymptotic analysis. The various volumes comprising the Handbook of Numerical Analysis will thoroughly cover all the major aspects of Numerical Analysis, by presenting accessible and in-depth surveys, which include the most recent trends. Covers contemporary developments relating to the analysis and learning of images, shapes and formsPresents mathematical models and quick computational techniques relating to the topicProvides broad coverage, with sample chapters presenting content on Alternating Diffusion and Generating Structured TV-based Priors and Associated Primal-dual Methods INDICE: 1. Numerical methods for the Laplace-Beltrami operator Andrea Bonito, Alan Demlow and R. H. Nochetto 2. Shape optimization Gregoire Allaire 3. Nonlinear plates S. Bartels 4. Phase field methods and geometric PDEs Qiang Du 5. Level-set methods and geometric PDEs James Sethian 6. Parametric Finite Element Approximations of Curvature Driven Interface Evolution Harald Garcke, John W. Barrett and Robert Nürnberg 7. Total variation minimization Antonin Chambolle 8. Fully nonlinear PDEs Michael Neilan 9. Numerical relativity M. Holst 10. Bubbles in Fluid Dynamics Stefan Turek 11. Free Boundary Problems in Fluids and Materials Eberhard Baensch 12. Computational Geometry Max Wardetzky 13. Chapter Title to be Confirmed Michael Hintermueller 14. Optimal Transport Quentin Merigot 15. Gradient flows J. carrillo 16. Isogeometric Analysis Giancarlo Sangalli 17. Liquid Crystals Shaw Walker

• ISBN: 978-0-444-64003-1
• Editorial: North Holland
• Encuadernacion: Rústica
• Páginas: 710
• Fecha Publicación: 06/01/2020
• Nº Volúmenes: 1
• Idioma: Inglés