Separate HTML for Basic Foil 3 Review of Matrices seen in PDE's

Basic HTML version of Foils prepared 6 December 96

Foil 3 Review of Matrices seen in PDE's

From Full Matrices - December 4, 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox, Nancy J. McCracken

We have studied partial differential equations, for example

and shown how they translate into matrix equations.

These matrices were "sparse". The operator only linked a few states ( values in , components of ).

"Full" matrices are those with "essentially all" elements nonzero. More precisely, it is not worth exploiting the zero's.

i.e. treat zero's as "ordinary" numbers with a*0=0 and a+0=a implemented using floating point unit and not by omitting computation!