Numerical Geometry, Grid Generation and Scientific Computing (Lecture Notes in Computational Science and Engineering)

ISBN 10: 303023438X / ISBN 13: 9783030234386

Verlag: Springer, 2020

Beschreibung

pp. XXI, 320 160 illus., 107 illus. in color. 1st ed. 2019 edition NO-PA16APR2015-KAP.

Bestandsnummer des Verkäufers 26384560096

Bibliografische Details

• Titel: Numerical Geometry, Grid Generation and Scientific Computing (Lecture Notes in Computational Science and Engineering)
• Verlag: Springer
• Erscheinungsjahr: 2020
• Sprache: Englisch
• ISBN-10: 303023438X
• ISBN-13: 9783030234386
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year's special focus is on Voronoi diagrams and their applications, celebrating the 150^th birthday of G.F. Voronoi.

In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications.

The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods.  Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.

Von der hinteren Coverseite

The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year s special focus is on Voronoi diagrams and their applications, celebrating the 150^th birthday of G.F. Voronoi.

In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications.

The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods.  Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.