A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. - Mohammad Mirzadeh; Maxime Theillard; Frédéric Gibou (J. Comput. Phys., 2011)

A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids - Application to shape optimization. - Maxime Theillard; Landry Fokoua Djodom; Jean-Léopold Vié; Frédéric Gibou (J. Comput. Phys., 2013)

A Multigrid Method on Non-Graded Adaptive Octree and Quadtree Cartesian Grids. - Maxime Theillard; Chris H. Rycroft; Frédéric Gibou (J. Sci. Comput., 2013)

A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive Quad/Octrees. - Arthur Guittet; Maxime Theillard; Frédéric Gibou (J. Comput. Phys., 2015)

A Sharp Computational Method for the Simulation of the Solidification of Binary Alloys. - Maxime Theillard; Frédéric Gibou; Tresa Pollock (J. Sci. Comput., 2015)

Level-set simulations of soluble surfactant driven flows. - Charles Cleret de Langavant; Arthur Guittet; Maxime Theillard; Fernando Temprano-Coleto; Frédéric Gibou (J. Comput. Phys., 2017)

A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation. - Thomas Bellotti; Maxime Theillard (J. Comput. Phys., 2019)

Sharp numerical simulation of incompressible two-phase flows. - Maxime Theillard; Frédéric Gibou; David Saintillan (J. Comput. Phys., 2019)

Computational mean-field modeling of confined active fluids. - Maxime Theillard; David Saintillan (J. Comput. Phys., 2019)

Computational modeling of protein conformational changes - Application to the opening SARS-CoV-2 spike. - Anna Kucherova; Selma Strango; Shahar Sukenik; Maxime Theillard (J. Comput. Phys., 2021)

A volume-preserving reference map method for the level set representation. - Maxime Theillard (J. Comput. Phys., 2021)

Conservative finite volume method on deforming geometries: The case of protein aggregation in dividing yeast cells. - Abbas-Ali Heydari; Suzanne S. Sindi; Maxime Theillard (J. Comput. Phys., 2022)

Projection method for the fluctuating hydrodynamics equations. - Marc Mancini; Maxime Theillard; Changho Kim (J. Comput. Phys., 2022)

Least SQuares Discretizations (LSQD): a robust and versatile meshless paradigm for solving elliptic PDEs. - Anna Kucherova; Gbocho M. Terasaki; Selma Strango; Maxime Theillard (CoRR, 2024)

Stable nodal projection method on octree grids. - Matthew Blomquist; Scott R. West; Adam L. Binswanger; Maxime Theillard (J. Comput. Phys., 2024)

Surfer-H Meets Holo1: Cost-Efficient Web Agent Powered by Open Weights. - Mathieu Andreux; Breno Baldas Skuk; Hamza Benchekroun; Emilien Biré; Antoine Bonnet; Riaz Bordie; Nathan Bout; Matthias Brunel; Pierre-Louis Cedoz; Antoine Chassang; Mickaël Chen; Alexandra D. Constantinou; et al. (CoRR, 2025)