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The study of the properties of fluids and gases in motion
3
votes
Getting singular matrices for lid driven cavity problem
Determinants are a poor way to check singularity, since they are badly scaled. For instance, computing the determinant of $0.1I$ in Float64 (double precision) returns zero for dimension $n\geq 324$, b …
5
votes
Accepted
How should I solve generalized eigenvalue problems in Python? (Orr-Sommerfeld equation)
The performance of the two methods should be very close, because scipy.linalg.eig internally calls Lapack's ggev, which itself calls hgeqz to compute a QZ decomposition. So, typically, most of the CPU …
7
votes
Why does this implementation of the Block Tridiagonal Thomas algorithm give such large errors?
10^-2 likely means you have a mistake in your formulas, not just an accuracy problem. There is no simple and painless solution: you'll have to grab a cup of coffee, sit down, and figure out where the …