Evaluation of B-splines for Solving Systems of Boundary Value Problems

A general purpose collocation code COLSYS has been written, which is capable of solving mixed order systems of multi-point boundary value ordinary differential equations. The piecewise polynomial solution is given in terms of a B-spline basis.

Efficient implementation of algorithms to calculate with B-splines is a necessary condition for the code to be competitive. Here we describe these algorithms and the special features incorporated to take advantage of the specific environment in which they are used.