Nonlinear Propagation of Light in One-Dimensional Periodic Structures. - Roy H. Goodman; Michael I. Weinstein; Philip J. Holmes (J. Nonlinear Sci., 2001)

Modulations in the Leading Edges of Midlatitude Storm Tracks. - Andrew J. Majda; D. W. McLaughlin; Roy H. Goodman (SIAM J. Appl. Math., 2002)

Kink-Antikink Collisions in the φ4 Equation: The n-Bounce Resonance and the Separatrix Map. - Roy H. Goodman; Richard Haberman (SIAM J. Appl. Dyn. Syst., 2005)

High-Order Bisection Method for Computing Invariant Manifolds of Two-Dimensional Maps. - Roy H. Goodman; Jacek K. Wróbel (Int. J. Bifurc. Chaos, 2011)

High-order adaptive method for computing two-dimensional invariant manifolds of three-dimensional maps. - Jacek K. Wróbel; Roy H. Goodman (Commun. Nonlinear Sci. Numer. Simul., 2013)

Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates. - Roy H. Goodman; P. G. Kevrekidis; Ricardo Carretero-González (SIAM J. Appl. Dyn. Syst., 2015)

Drift of Spectrally Stable Shifted States on Star Graphs. - Adilbek Kairzhan; Dmitry E. Pelinovsky; Roy H. Goodman (SIAM J. Appl. Dyn. Syst., 2019)

Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating. - Jimmie Adriazola; Roy H. Goodman (SIAM J. Appl. Math., 2023)

Efficient manipulation of Bose-Einstein Condensates in a double-well potential. - Jimmie Adriazola; Roy H. Goodman; Panayotis G. Kevrekidis (Commun. Nonlinear Sci. Numer. Simul., 2023)

QGLAB: A MATLAB Package for Computations on Quantum Graphs. - Roy H. Goodman; Grace Conte; Jeremy Louis Marzuola (SIAM J. Sci. Comput., 2025)