What are typical sizes of problems?

The dimension n of the unknown x varies greatly, depending on the kind of problem. The dimension n is typically of the order:

101 -- 102 for intrinsically discrete, algebraic problems

102 -- 103 for discretizations of ordinary differential equation boundary value problems

103 -- 10k for discretizations of partial differential equation boundary value problems

When such solutions are computed at a mesh of parameter values, the size of data files can quickly become an issue.
 


 
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