Kumar, Anand (1999) Supersymmetric finitedifference formulae. Technical Report. CMMACS/ National Aerospace Laboratories, Bangalore, India.
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Abstract
New finitedifference formulae have been developed such that the discretisation of the Laplace operator is rotationally invariant. These formulae, referred to by supersymmetric finitedifference 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 ndimension is given. The L two and L infinity, stability limits of the heat conduction equation in ndimension, which are 1/2n for the conventional differencing, have been shown to be 1/2 and 2 to th power of n2 divided by 2 to the power of n1, respectively under the supersymrnetric discretisation. Thus while the L two stability limit for the supersymmetric discretisation is dimensionindependent, the L infinity, stability limit is greater than 1/4 for any n
Item Type:  Monograph (Technical Report) 

Uncontrolled Keywords:  Supersymmetric;Finitedifference;Discret;Stability 
Subjects:  MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General) 
Depositing User:  Mr. Ravikumar R 
Date Deposited:  31 Jul 2006 
Last Modified:  24 May 2010 04:14 
URI:  http://nalir.nal.res.in/id/eprint/1903 
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