Model Problems in Numerical Stability Theory for Initial Value Problems. - Andrew M. Stuart; A. R. Humphries (SIAM Rev., 1994)

The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube. - Chris J. Budd; A. R. Humphries; Andrew J. Wathen (SIAM J. Sci. Comput., 1999)

Phase Space Error Control for Dynamical Systems. - Desmond J. Higham; A. R. Humphries; R. J. Wain (SIAM J. Sci. Comput., 2000)

Computation of Mixed Type Functional Differential Boundary Value Problems. - Kate A. Abell; Christopher E. Elmer; A. R. Humphries; Erik S. Van Vleck (SIAM J. Appl. Dyn. Syst., 2005)

Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion. - A. R. Humphries; Brian E. Moore; Erik S. Van Vleck (SIAM J. Appl. Math., 2011)

Finite element boundary value integration of Wheeler-Feynman electrodynamics. - Jayme De Luca; A. R. Humphries; Sávio B. Rodrigues (J. Comput. Appl. Math., 2012)

Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays. - Renato C. Calleja; A. R. Humphries; Bernd Krauskopf (SIAM J. Appl. Dyn. Syst., 2017)

Dynamics of a Mathematical Hematopoietic Stem-Cell Population Model. - Daniel Câmara De Souza; A. R. Humphries (SIAM J. Appl. Dyn. Syst., 2019)

Practicalities of State-Dependent and Threshold Delay Differential Equations. - A. R. Humphries; A. S. Eremin; Z. Wang (CoRR, 2025)