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Numerical Geometry, Grid Generation and Scientific Computing by Vladimir A. Garanzha, Lennard Kamenski, Hang Si (Lecture Notes in Computational Science and Engineering, 143)
Requirements: .ePUB, .PDF reader, 112 mb
Overview: 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.
Genre: Non-Fiction > Educational



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