Numerical simulation of solitary waves on plane slopes. - Philippe Guyenne; David P. Nicholls (Math. Comput. Simul., 2005)

A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography. - Philippe Guyenne; David P. Nicholls (SIAM J. Sci. Comput., 2007)

Numerical simulation of three-dimensional nonlinear water waves. - Liwei Xu; Philippe Guyenne (J. Comput. Phys., 2009)

Instability in supercritical nonlinear wave equations: Theoretical results and symplectic integration. - Slim Ibrahim; Philippe Guyenne (Math. Comput. Simul., 2009)

Recovering fluid-type motions using Navier-Stokes potential flow. - Feng Li 005; Liwei Xu; Philippe Guyenne; Jingyi Yu (CVPR, 2010)

A quantitative ultrasound model of the bone with blood as the interstitial fluid. - Robert P. Gilbert; Philippe Guyenne; Miao-Jung Yvonne Ou (Math. Comput. Model., 2012)

A viscoelastic model for random ultrasound propagation in cancellous bone. - Robert P. Gilbert; Philippe Guyenne; Jing Li (Comput. Math. Appl., 2013)

Numerical investigation of ultrasonic attenuation through 2D trabecular bone structures reconstructed from CT scans and random realizations. - Robert P. Gilbert; Philippe Guyenne; Jing Li (Comput. Biol. Medicine, 2014)

High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model. - Maojun Li; Philippe Guyenne; Fengyan Li; Liwei Xu (J. Comput. Phys., 2014)

An operator expansion method for computing nonlinear surface waves on a ferrofluid jet. - Philippe Guyenne; Emilian I. Parau (J. Comput. Phys., 2016)

A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations. - Maojun Li; Philippe Guyenne; Fengyan Li; Liwei Xu (J. Sci. Comput., 2017)

Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves. - Philippe Guyenne; Adilbek Kairzhan; Catherine Sulem (Multiscale Model. Simul., 2022)