Geometric Background to Grid Technology.- Introductory Notions.- General Coordinate Systems in Domains.- Geometry of Curves.- Multidimensional Geometry.- Algorithms and Applications of Advanced Grid Technology.- Comprehensive Grid Models.- Inverted Equations.- Numerical Implementation of Grid Generators.

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. In an updated and expanded Second Edition, this monograph gives a detailed treatment based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces.