Raising the Orders of Unconventional Schemes for Ordinary Differential Equations

 

See also a short introductory paper: Composition constants for raising the orders of unconventional schemes for ordinary differential equations, by W. Kahan and R.-C. Li, Mathematics of Computation, vol. 66, pp.1089-1099, 1997.

A software package ( introduction and package) consisting of programs in a few different computer languages has been released to help people obtaining mechanically high order quality schemes that previously were obtained only very painfully, as well as their usage.

Comments and criticisms are appreciated.