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
1 We have studied partial differential equations, for example
2 and shown how they translate into matrix equations.
3 These matrices were "sparse". The operator only linked a few states ( values in , components of ).
4 "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!
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© on Tue Oct 7 1997