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2
votes
1
answer
315
views
Where are the boundary layers?
I am learning perturbation theory and would like to be able to determine where boundary layers are going to occur just by looking at the differential equation. …
2
votes
0
answers
126
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Perturbation analysis for three term recurrences
Jacobi polynomials, denoted by $J^{(\alpha,\beta)}_n$, on $[-1,1]$ satisfy a three term recurrence
$$ J_{n+1}^{(\alpha,\beta)}(x) = (A_n+B_nx)J^{(\alpha,\beta)}_n + C_nJ_{n-1}^{(\alpha,\beta)}(x), \q …