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How do i evaluate the convergence

by supercali
Tags: convergence, evaluate
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supercali
#1
Jan26-13, 04:18 PM
P: 53
got fourier series as a result of solving a PDE. how do i evaluate the converg. using average error in order to determine the # of terms needed for it to converge to less than X%?
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ChaseRLewis
#2
Feb8-13, 04:35 PM
P: 43
Well brute force is Solve with n vars then solve with n+1 vars and compare |n-(n+1)|/|n+1| once that is less than X% difference you can do that. Since each individual component should have less value towards the total solution than the previous one.
ChaseRLewis
#3
Feb9-13, 02:28 PM
P: 43
Quote Quote by ChaseRLewis View Post
Well brute force is Solve with n vars then solve with n+1 vars and compare |n-(n+1)|/|n+1| once that is less than X% difference you can do that. Since each individual component should have less value towards the total solution than the previous one.
oops was thinking about this I mistyped it's |f(n)-f(n+1)|/|f(n+1)| where f is your pde function and n equivalent to the number of components. meant that before but was rushing.


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