A collection of explicit Runge-Kutta methods of various orders

Latest on Hackage:1.0.2

This package is not currently in any snapshots. If you're interested in using it, we recommend adding it to Stackage Nightly. Doing so will make builds more reliable, and allow to host generated Haddocks.

BSD3 licensed and maintained by Uwe Hollerbach
This is a small module collecting about a dozen Runge-Kutta methods
of different orders, along with a couple of programs to exercise them.

Build and run testrk, volterra, volterra2, and arenstorf:

o testrk exercises all of the methods in a non-adaptive way,
solving a test problem with a known analytic solution,
to check convergence. (This was what first indicated that
there was a problem with the Fehlberg 7(8) listing in HNW.)

o volterra uses a non-adaptive method to solve the Lotka-Volterra
equations from t=0 to t=40: either from a built-in starting point,
or from a starting point specified on the command line.

o volterra2 does the same, except it uses an adaptive solver

o arenstorf solves the restricted 3-body problem (earth+moon+satellite)
using an adaptive solver with some specific initial conditions
which yield periodic orbits

The volterra2 and arenstorf examples use an "oracle" function to
decide what is a good step size. Right now that oracle function is in
each test file; arguably it should be in the RungeKutta module.
Eventually it will be, but I haven't spent much time yet on making
that oracle especially good.
Depends on:
Used by 1 package:
comments powered byDisqus