Most efficient ode solver

Hi all, to your knowledge, what is the most efficient general ode algorithm for matlab?

Is there a way to parallelize the problem of solving a set of ode? Can you state that the ode15,23,45 are the most efficient ways to solve an ode with matlab?

I am dealing with huge systems of odes, I would like to find a method to speed up the computation, without thinking of an eventual, problem dependent, montecarlo approach.

Thank you!

Answer 1

[Walter Roberson]

There is no one most efficient general ode algorithm. The different ode*() routines are most suitable for different types of ode.

[Antonio]

Is there a way to do solve in a parallelized way the same ode with different initial conditions?

[Walter Roberson]

The only way I can think of at the moment is to have the Parallel Computing Toolbox and use parfor or similar facilities.