
6.1d
Oct 15, 2015 2:26:45 GMT
Post by matthorr on Oct 15, 2015 2:26:45 GMT
"At what value of Δt does the magnitude of the σroot from the largest magnitude λroot become equal to that from the smallest magnitude λroot for Trapezoidal time marching for the given space mesh?"
It looks to me like this only happens at h = 0. Anyone get another answer?



6.1d
Oct 15, 2015 22:43:35 GMT
Post by matthorr on Oct 15, 2015 22:43:35 GMT
Tim figured out the answer. If you set \(\sigma_1 = \sigma_M\) you will get the trivial answer \(h=0\). But, if you set \(\sigma_1 = \sigma_M\), you will get the right answer.
\[h = \frac{2}{\sqrt{\lambda_1\lambda_M}} = 0.008 \]

