dirk_mec1
Jan9-12, 02:45 AM
I want to have a fast way (in Matlab) of computing the following integral:
\int_0^z \cos(\theta(z))\ \mbox{d}z\ \forall z \in [0,1]
with \theta(z) = atan(z) + e^{\int_0^z \chi^2 +a^2\ \mbox{d}\chi}
I used an anomyous functions with a quad function to define the \theta then I used a quadv to evalute the integral. Finally I used a for loop to get the integral for a list of discrete values for z in [0,1]. Of course this takes a lot of computation time, I think this has to do with the fact that quad is used in quadv. How can I make this a lot faster?
\int_0^z \cos(\theta(z))\ \mbox{d}z\ \forall z \in [0,1]
with \theta(z) = atan(z) + e^{\int_0^z \chi^2 +a^2\ \mbox{d}\chi}
I used an anomyous functions with a quad function to define the \theta then I used a quadv to evalute the integral. Finally I used a for loop to get the integral for a list of discrete values for z in [0,1]. Of course this takes a lot of computation time, I think this has to do with the fact that quad is used in quadv. How can I make this a lot faster?