An Algorithm for Constructing Monotone Quintic Interpolating Splines

A novel algorithm for computing monotone order six piecewise polynomial interpolants is proposed. Algebraic constraints for enforcing monotonicity are provided that align with quintic monotonicity theory. The algorithm is implemented, tested, and applied to several sample problems to demonstrate the improved accuracy of monotone quintic spline interpolants compared to the previous state-of-the-art monotone cubic spline interpolants.