On Jan 28, 2009, at 5:00, Eric Lavigne wrote: > In "Objective CAML for Scientists" [1] pages 92-101 Jon Harrop > demonstrates a rapid numerical solution for a multibody gravitation > problem, which looks similar to the problem you are solving. He > refers to the method as Fast Multipole Method [2,3]. It trades a > little accuracy for a big performance gain. Oh, and his > implementation in OCaml
The Fast Multipole Method is an algorithm for rapidly calculating all pairwise interactions between a set of objects, provided that the interactions have a particular form. The method was developed for gravitational interactions (e.g. between planets or stars) and for electrostatic interactions (e.g. between atoms), which are two types of interactions that have the same mathematical form: the energy is inversely proportional to the distance between two objects. It is possibe to generalize the Fast Multipole Method somewhat, but it remains a technique for a limited (though important) class of interactions. It is rather unlikely that it will be of any use for simulating a flock of birds. Konrad. --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Clojure" group. To post to this group, send email to clojure@googlegroups.com To unsubscribe from this group, send email to clojure+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/clojure?hl=en -~----------~----~----~----~------~----~------~--~---