> Actually, I think it's likely to be (much) faster for the same accuracy, > since you can use a bigger step size.
Yes, in order to compare their speeds you need to compare on the same accuracy scale and not on the same step size. Forward Euler requires a comparatively small step size to get anywhere near the accuracy of RK4. :) > But of course, it's a little bit more programming. A little bit, but you should be able to find "the equations" on wikipedia, no? --Josh On Sat, Jan 26, 2013 at 12:10 AM, Harald Hanche-Olsen <han...@math.ntnu.no> wrote: > [Postlethwaite <post.ben.h...@gmail.com> (2013-01-25 17:29:52 UTC)] > >> > The forward Euler step is employed for simplicity and speed >> > Please please please use RK4 instead of foward Euler, it's way way >> > more accurate. https://en.wikipedia.org/wiki/RK4 >> >> >> Ha, of course I should be using RK4! But it's slower [...] > > Actually, I think it's likely to be (much) faster for the same > accuracy, since you can use a bigger step size. But of course, it's a > little bit more programming. > >> I mean, you have to understand that for many problems in scientific >> > computing, the matrices are large enough that you really want to bust >> > out C and fortran libraries. > > Indeed. But scientific computing needs vary a lot, from the stuff you > do with a calculator and the back of an envelope, to the really hard > problems that require supercomputers. And as hardware (and javascript) > gets faster, the boundaries keeps moving, and you can do more with > simple means as time passes. > > - Harald > > -- > -- > Job Board: http://jobs.nodejs.org/ > Posting guidelines: > https://github.com/joyent/node/wiki/Mailing-List-Posting-Guidelines > You received this message because you are subscribed to the Google > Groups "nodejs" group. > To post to this group, send email to nodejs@googlegroups.com > To unsubscribe from this group, send email to > nodejs+unsubscr...@googlegroups.com > For more options, visit this group at > http://groups.google.com/group/nodejs?hl=en?hl=en > > > -- -- Job Board: http://jobs.nodejs.org/ Posting guidelines: https://github.com/joyent/node/wiki/Mailing-List-Posting-Guidelines You received this message because you are subscribed to the Google Groups "nodejs" group. To post to this group, send email to nodejs@googlegroups.com To unsubscribe from this group, send email to nodejs+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/nodejs?hl=en?hl=en
