Relations to Monitor Manifolds

  • Vladimir D. Liseikin
Part of the Scientific Computation book series (SCIENTCOMP)


An arbitrary physical geometry is considered in modern grid technology as an n-dimensional surface S xn , in particular, a domain (curve or line in the one-dimensional case) whose mathematical representation is formulated locally in a general parametric form
$$X(S):\mathop s\nolimits^N \to \mathop R\nolimits^{n + \mathop n\nolimits_o} ,s = (\mathop S\nolimits^1 ,...,\mathop S\nolimits^n),x(\mathop x\nolimits^1 ,...\mathop x\nolimits^{n + \mathop n\nolimits_o})$$
where x(s) is a smooth transformation of rank n, while S n R n is a parametric domain.


Geometric Characteristic Parametric Domain Christoffel Symbol Mixed Derivative Monitor Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Vladimir D. Liseikin
    • 1
  1. 1.Institute of Computational TechnologiesSiberian Branch of the Russian Academy of SciencesNovosibirsk 90Russia

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