Supersymmetric finite-difference formulae in two and three dimensions

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

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    Abstract

    Differential operators, which are invariant to a rotation of the coordinate axes, may lose this property on discretisation. A method is given for deriving new finite difference formulae under which the discretisation of the Laplace operator is rotationally invariant. These 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. Using these formulae the stability limits for the heat conduction and the wave equations have been found to be dimension-independent.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Supersymmetric;Dimensions;Finite-difference formula
    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: 25 Jul 2006
    Last Modified: 24 May 2010 09:44
    URI: http://nal-ir.nal.res.in/id/eprint/1901

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