Scripted HTML version of Foils prepared 11 November 1996

Foil 16 General Form of Sparse Matrix Coming from Laplace's Equation in two dimensions - II

From CPS615-Basic PDE Solver Discussion and Sparse Matrix Formulation Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 8 November 96. by Geoffrey C. Fox *
Secs 492.4
A sparse matrix
with two bands --
one next to diagonal
and the other a
"distance" Nx
away
Note original grid shown here is Nx by Ny but matrix is Nx Ny by Nx Nywithzeros outside a band of total width 2Nx +1
Note no "compact labelling" where points near each other in two dimensions remain near each in one dimension after mapping onto vector (one dimension)

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