Sparse Matrix Methods and Applications Yousef Saad Department of Computer Science and Engineering University of Minnesota Wimereux,April 1st, 2008 Typical Problem: Physical Model ↓ Nonlinear PDEs ↓ Discretization &darr ...
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...Sparse matrix methods and applications yousef saad department of computer science engineering university minnesota wimereux april st typical problem physical model nonlinear pdes discretization linearization newton sequenceofsparselinearsystemsax b whataresparsematrices commondenition matricesthatallowspecialtechniquesto take advantage the large number zero elements structure afewapplications matrices structuralengineering reser voir simulation electrical networks optimization problems goals muchlessstorageandworkthandensecomputations observation a isusuallydense butlandu inthelufactor ization may be reasonably if good technique is used nonzeropatterns few arc unsymmetric from laser r curtis oct sherman fully implicit black oil simulator by grid unk...