Tuesday, March 04, 2008

You know it's bad...

... 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.

2 comments:

Mason said...

Mmmmm.... ODEs.

Unknown said...

Mmmmm.... Blogs.