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cs.CG2013★ 11 cited
Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields
Ya. V. Bazaikin, V. A. Baikov, I. A. Taimanov +1
We discuss the study of topological characteristics of random fields that are used for numerical simulation of oil and gas reservoirs and numerical algorithms (see arXiv:1302.3669)…
cs.CG2013★ 2 cited
On a numerical algorithm for computing topological characteristics of three-dimensional bodies
Ya. V. Bazaikin, I. A. Taimanov
We present an algorithm for computing the main topological characteristics of three-dimensional bodies. The algorithm is based on a discretization of Morse theory and uses discrete…
math.DG2013
Complete Riemannian Holonomy Metrics on Deformations of Cones over
Ya. V. Bazaikin, O. A. Bogoyavlenskaya
Complete Riemannian metrics with holonomy group are constructed on the manifolds obtained by deformations of cones over .