An Exact Solution of Stikker's Nonlinear Heat Equation. - Allan R. Willms (SIAM J. Appl. Math., 1995)

Bifurcation, Bursting, and Spike Frequency Adaptation. - John Guckenheimer; Ronald M. Harris-Warrick; Jack Peck; Allan R. Willms (J. Comput. Neurosci., 1997)

An Improved Parameter Estimation Method for Hodgkin-Huxley Models. - Allan R. Willms; Deborah J. Baro; Ronald M. Harris-Warrick; John Guckenheimer (J. Comput. Neurosci., 1999)

A Simple yet Efficient Dynamic System for Robot Path Planning. - Allan R. Willms; Simon X. Yang (ROBIO, 2004)

Generalized Thermal Agents with Multiple Boundary Conditions and Three-Dimensional Thermal Agents. - Stephen P. Gent; Daniel A. Ashlock; Allan R. Willms; Kenneth M. Bryden (IEEE Congress on Evolutionary Computation, 2006)

An Extension of the Distance-Propagating Dynamic System for Robot Path Planning to Safe Obstacle Clearance. - Allan R. Willms; Simon X. Yang (ROBIO, 2006)

An efficient dynamic system for real-time robot-path planning. - Allan R. Willms; Simon X. Yang (IEEE Trans. Syst. Man Cybern. Part B, 2006)

Analytic Results for the Eigenvalues of Certain Tridiagonal Matrices. - Allan R. Willms (SIAM J. Matrix Anal. Appl., 2008)

Real-Time Robot Path Planning via a Distance-Propagating Dynamic System with Obstacle Clearance. - Allan R. Willms; Simon X. Yang (IEEE Trans. Syst. Man Cybern. Part B, 2008)

Bounding Data with a Piecewise Linear Band. - Allan R. Willms (SIAM J. Sci. Comput., 2009)

Real-Time Robot Path Planning Based on a Modified Pulse-Coupled Neural Network Model. - Hong Qu; Simon X. Yang; Allan R. Willms; Zhang Yi 001 (IEEE Trans. Neural Networks, 2009)

A Linear Time Algorithm for Near Minimax Continuous Piecewise Linear Representations of Discrete Data. - Emily K. Szusz; Allan R. Willms (SIAM J. Sci. Comput., 2010)

Parameter range reduction for ODE models using monotonic discretizations. - Allan R. Willms; Emily K. Szusz (J. Comput. Appl. Math., 2013)

Double Hopf Bifurcation with Huygens Symmetry. - Petko M. Kitanov; William F. Langford; Allan R. Willms (SIAM J. Appl. Dyn. Syst., 2013)

Parameter Range Reduction in Ordinary Differential Equation Models. - Andrew Skelton; Allan R. Willms (J. Sci. Comput., 2015)

Parameter range reduction from partial data in systems of differential algebraic equations. - Andrew Skelton; Allan R. Willms (J. Comput. Appl. Math., 2020)

The algebraic solvability of the novel lamplighter puzzle. - Connor Gregor; Dan Ashlock; Allan R. Willms (J. Int. Comput. Games Assoc., 2021)

Resonantly Forced ODEs and Repeated Roots. - Allan R. Willms (SIAM Rev., 2024)