Development of a localized probabilistic sensitivity method to determine random variable regional importance. - Harry Millwater; Gulshan Singh; Miguel Cortina (Reliab. Eng. Syst. Saf., 2012)

Quaternion and octonion-based finite element analysis methods for computing multiple first order derivatives. - Mauricio Aristizábal; Daniel Ramirez-Tamayo; Manuel J. Garcia; Andres Aguirre-Mesa; Arturo Montoya; Harry Millwater (J. Comput. Phys., 2019)

MultiZ: A Library for Computation of High-order Derivatives Using Multicomplex or Multidual Numbers. - Andres Aguirre-Mesa; Manuel J. Garcia; Harry Millwater (ACM Trans. Math. Softw., 2020)

Solution and sensitivity analysis of nonlinear equations using a hypercomplex-variable Newton-Raphson method. - Mauricio Aristizábal; José L. Hernández-Estrada; Manuel Garcia; Harry Millwater (Appl. Math. Comput., 2023)

Calculation of machine precision second order derivatives using dual-complex numbers. - Harry Millwater; Matthew Balcer; Nathan Millwater (Numer. Algorithms, 2025)

Arbitrary-order sensitivity analysis of frequency response functions using hypercomplex automatic differentiation and spectral finite elements. - Juan David Navarro; Juan C. Velasquez-Gonzalez; Mauricio Aristizábal; Arturo Montoya; Harry Millwater; David Restrepo (Appl. Math. Comput., 2026)