Unconditionally stable discretizations of the immersed boundary equations. - Elijah P. Newren; Aaron L. Fogelson; Robert D. Guy; Robert M. Kirby (J. Comput. Phys., 2007)

Traveling Waves and Shocks in a Viscoelastic Generalization of Burgers' Equation. - Victor Camacho; Robert D. Guy; Jon Jacobsen (SIAM J. Appl. Math., 2008)

An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics. - Grady B. Wright; Robert D. Guy; Aaron L. Fogelson (SIAM J. Sci. Comput., 2008)

On the accuracy of direct forcing immersed boundary methods with projection methods. - Robert D. Guy; David A. Hartenstine (J. Comput. Phys., 2010)

An immersed boundary method for two-fluid mixtures. - Jian Du; Robert D. Guy; Aaron L. Fogelson (J. Comput. Phys., 2014)

Coordination of Contractility, Adhesion and Flow in Migrating Physarum Amoebae : Experiments and Modeling. - Robert D. Guy; Owen L. Lewis; Shun Zhang; Juan Carlos del Álamo (BICT, 2015)

Investigation of peristaltic pumping as a cellular motility mechanism. - Owen L. Lewis; Robert D. Guy (BICT, 2015)

Coordinations of Intracellular Flow, Calcium Signal and Cellular Contraction in Migrating Physarum. - Shun Zhang; Robert D. Guy; Juan Carlos del Álamo (BICT, 2015)

Geometric multigrid for an implicit-time immersed boundary method. - Robert D. Guy; Bobby Philip; Boyce E. Griffith (Adv. Comput. Math., 2015)

A poroelastic immersed boundary method with applications to cell biology. - Wanda Strychalski; Calina A. Copos; Owen L. Lewis; Robert D. Guy (J. Comput. Phys., 2015)

Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods. - David B. Stein; Robert D. Guy; Becca Thomases (J. Comput. Phys., 2016)

Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains. - David B. Stein; Robert D. Guy; Becca Thomases (J. Comput. Phys., 2017)

Immersed Boundary Double Layer Method. - Brittany J. Leathers; Robert D. Guy (CoRR, 2022)

Immersed Boundary Double Layer method: An introduction of methodology on the Helmholtz equation. - Brittany J. Leathers; Robert D. Guy (J. Comput. Phys., 2024)

Optimizing Metachronal Paddling with Reinforcement Learning at Low Reynolds Number. - Alana A. Bailey; Robert D. Guy (CoRR, 2025)