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Numerical algorithms for problems in analysis and algebra, scientific computation
-1
votes
1
answer
2k
views
BDF2 and TR-BDF2: what is better? [closed]
What method of numerical solving ODEs is better? BDF2 or TR-BDF2?
Namely, what advantages has TR-BDF2 over BDF2? Is TR-BDF2 more accurate? Does it damp "ringing" better?
The BDF2 method requires the …
1
vote
0
answers
134
views
Monotonic convergence of Newton's method for boundary value problems
I’m interested in solving nonlinear elliptic boundary value problems of the type
$$
-a\Delta u + f(u) = 0,
$$
$$
u|_\Gamma = u_0
$$
by Newton’s method when its convergence is global and monotonic.
Cou …