Finite difference formulae in multi-dimension

Kumar, Anand (1998) Finite difference formulae in multi-dimension. Technical Report. CMMACS/ National Aerospace Laboratories, Bangalore, India.

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Abstract

Finite-difference formulae for partial derivatives of functions are essentially one-dimensional formulae. That is, they involve function at grid points along the direction of the derivatives. The one-dimensonal formulae have been employed while tackling the numerical problems in multi-dimension, such as in the numerical solution of partial differential equations. It would be desirable to employ multi-dimensional finite-difference formulae when dealing with problems in multi-dimension. By multi-dimensional finite difference formulae we mean finite-difference formulae involving various points of the multi-dimensional stencil, than just the points of the uni-directional stencil. Use of such finite-difference formulae for numerical problems in multi-dimension is only natural.

Item Type:	Monograph (Technical Report)
Uncontrolled Keywords:	Finite difference;Multi-dimension
Subjects:	MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General)
Depositing User:	Mr. Ravikumar R
Date Deposited:	18 Jul 2006
Last Modified:	24 May 2010 04:14
URI:	http://nal-ir.nal.res.in/id/eprint/1921

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