Supersymmetric finite-difference formulae

Kumar, Anand (1999) Supersymmetric finite-difference formulae. Technical Report. CMMACS/ National Aerospace Laboratories, Bangalore, India.

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    Abstract

    New finite-difference formulae have been developed such that the discretisation of the Laplace operator is rotationally invariant. These formulae, referred to by supersymmetric finite-difference formulae, ensure that the mean value theorem for a harmonic function is preserved on the discretisation of the Laplace equation. Formulae in two and three dimensions have been obtained. Supersymmetric discretisation of the Laplacian in n-dimension is given. The L two and L infinity, stability limits of the heat conduction equation in n-dimension, which are 1/2n for the conventional differencing, have been shown to be 1/2 and 2 to th power of n-2 divided by 2 to the power of n-1, respectively under the supersymrnetric discretisation. Thus while the L two stability limit for the supersymmetric discretisation is dimension-independent, the L infinity, stability limit is greater than 1/4 for any n

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Supersymmetric;Finite-difference;Discret;Stability
    Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General)
    Division/Department: CSIR Centre for Mathematical Modelling and Computer Simulation
    Depositing User: Mr. Ravikumar R
    Date Deposited: 31 Jul 2006
    Last Modified: 24 May 2010 09:44
    URI: http://nal-ir.nal.res.in/id/eprint/1903

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