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You mean the concept of a sparse matrix ? Well, for e.g. if you use FEM (Finite Element method) you usually end up with a huge linear system which has the nice
by AlexeyBrin 12y ago
You mean the concept of a sparse matrix ? Well, for e.g. if you use FEM (Finite Element method) you usually end up with a huge linear system which has the nice property that more than 90% of his coefficients are zeros. A sparse matrix will store only the non-zero elements, this is a huge gain from the point of view of memory usage.
Similar considerations applies for using Finite Difference methods.
- frozenport 12y agoAlthough for finite difference schemes we dont usually form the matrix but rather perform convolution/ forward stencil math.
- turbojerry 12y agoThey are also at the heart of the SPICE circuit simulator[1] [1] http://en.wikipedia.org/wiki/SPICE#Introduction http://en.wikipedia.org/wiki/SPICE#Introduction