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A Computational Differential Geometry Approach to Grid Generation (Scientific Computation) [Hardcover]

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Item description for A Computational Differential Geometry Approach to Grid Generation (Scientific Computation) by Vladimir D. Liseikin...

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph describes in detail the eminent role played by differential geometry ingrid technology based on mapping. It demonstrates how the Beltrami operator helps to develop robust multidimensional grid generation codes, while supplying related numerical code. In particular, procedures for the construction of monitor metric tensors are given and their qualitative effect on the resulting mesh is analyzed. Reviewing concepts from Riemannian geometry, the book applies them to general grids with prescribed properties, and discusses the role of mean and of Gaussian curvature and other geometric characteristics for the Beltrami equations for grid generation. It addresses scientists and practitioners as well as graduate students from applied mathematics, physics, and engineering.



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Item Specifications...


Pages   264
Est. Packaging Dimensions:   Length: 9.25" Width: 6.25" Height: 0.75"
Weight:   1.17 lbs.
Binding  Hardcover
Release Date   Oct 10, 2003
Publisher   Springer
ISBN  3540140085  
ISBN13  9783540140085  


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1Books > Special Features > Formats
2Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
3Books > Special Features > New & Used Textbooks > Sciences > Physics
4Books > Subjects > Professional & Technical > Engineering > General
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
6Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
7Books > Subjects > Professional & Technical > Professional Science > Physics > General
8Books > Subjects > Professional & Technical > Professional Science > Physics > Mathematical Physics
9Books > Subjects > Science > General
10Books > Subjects > Science > Mathematics > Applied > General
11Books > Subjects > Science > Mathematics > General
12Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
13Books > Subjects > Science > Physics > General
14Books > Subjects > Science > Physics > Mathematical Physics



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