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＜電子ブック＞
Numerical Geometry, Grid Generation and Scientific Computing : Proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, Celebrating the 150th Anniversary of G.F. Voronoi, Moscow, Russia, December 2018 / edited by Vladimir A. Garanzha, Lennard Kamenski, Hang Si
(Lecture Notes in Computational Science and Engineering. ISSN:21977100 ; 131)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XXI, 320 p. 160 illus., 107 illus. in color : online resource
著者標目	Garanzha, Vladimir A editor Kamenski, Lennard editor Si, Hang editor SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical physics FREE:Computational Mathematics and Numerical Analysis FREE:Mathematics of Computing FREE:Calculus of Variations and Optimization FREE:Mathematical Physics
一般注記	Voronoi Meshing: Theory, Algorithms, and Applications -- Mesh Optimization -- Mesh-Based Methods of Optimization and Optimal Control -- Numerical Geometry and Simulation -- Mesh Generation Software 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 150th 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 HTTP:URL=https://doi.org/10.1007/978-3-030-23436-2

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