 #1
joshmccraney
Gold Member
 1,971
 104
Hi PF!
I'm working with some basis functions ##\phi_i(x)##, and they get out of control big, approximately ##O(\sinh(12 j))## for the ##jth## function. What I am doing is forcing the functions to zero at approximately 3 and 3.27. I've attached a graph so you can see. Looks good, but in fact these values are very far from zero. Any ideas on what I can do to get these scaled down significantly so they are forced to zero?
I should say, each function individually get very close to zero regarding it's size, but for some cases that means ##\phi(x=3) = 10^{16}##, which is very small considering it's average height is about ##10^{30}## with sharp gradients.
I'm working with some basis functions ##\phi_i(x)##, and they get out of control big, approximately ##O(\sinh(12 j))## for the ##jth## function. What I am doing is forcing the functions to zero at approximately 3 and 3.27. I've attached a graph so you can see. Looks good, but in fact these values are very far from zero. Any ideas on what I can do to get these scaled down significantly so they are forced to zero?
I should say, each function individually get very close to zero regarding it's size, but for some cases that means ##\phi(x=3) = 10^{16}##, which is very small considering it's average height is about ##10^{30}## with sharp gradients.
Attachments

22.2 KB Views: 150
Last edited: