... when your own blog doesn't autocomplete in your browser anymore.
SRSLY.
Been hard at work on classes, for one. For example, consider the ODE:
d/dx y(x) = f(x, y(x))
As part of a proof that a given numerical method converges, the following must be expanded in Taylor series (along with several other terms) in h around f(x,y(x)) up to O(h^3):
f(x+h, y+h*(2*f(x+h/2, y+h/2*f(x,y)) - f(x,y)))
I could write a program to expand and then simplify for me in less time than it takes me to do it (correctly) by hand.
In fact, I know this from experience. Maybe it's my fault for continually goofing up terms in a Taylor series expansion that literally fills up a page (only half a page after simplification).
Okay, enough whining. At least the set is done, and it's not even due until Thursday.
Tuesday, March 04, 2008
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2 comments:
Mmmmm.... ODEs.
Mmmmm.... Blogs.
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