A gradient-augmented level set method with an optimally local, coherent advection scheme. - Jean-Christophe Nave; Rodolfo Ruben Rosales; Benjamin Seibold (J. Comput. Phys., 2010)

A Correction Function Method for Poisson problems with interface jump conditions. - Alexandre Noll Marques; Jean-Christophe Nave; Rodolfo Ruben Rosales (J. Comput. Phys., 2011)

A new method for the level set equation using a hierarchical-gradient truncation and remapping technique. - Haruhiko Kohno; Jean-Christophe Nave (Comput. Phys. Commun., 2013)

Convecting reference frames and invariant numerical models. - Alexander Bihlo; Jean-Christophe Nave (J. Comput. Phys., 2014)

An Iterative Algorithm for Computing Measures of Generalized Voronoi Regions. - Lisa J. Larsson; Rustum Choksi; Jean-Christophe Nave (SIAM J. Sci. Comput., 2014)

Sufficient Conditions for Global Minimality of Metastable States in a Class of Non-convex Functionals: A Simple Approach Via Quadratic Lower Bounds. - David Shirokoff; Rustum Choksi; Jean-Christophe Nave (J. Nonlinear Sci., 2015)

A Sharp-Interface Active Penalty Method for the Incompressible Navier-Stokes Equations. - David Shirokoff; Jean-Christophe Nave (J. Sci. Comput., 2015)

A Fourier penalty method for solving the time-dependent Maxwell's equations in domains with curved boundaries. - Ryan Galagusz; David Shirokoff; Jean-Christophe Nave (J. Comput. Phys., 2016)

Adaptive Gradient-Augmented Level Set Method with Multiresolution Error Estimation. - Dmitry Kolomenskiy; Jean-Christophe Nave; Kai Schneider (J. Sci. Comput., 2016)

A Low Complexity Algorithm for Non-Monotonically Evolving Fronts. - Alexandra Tcheng; Jean-Christophe Nave (J. Sci. Comput., 2016)

Geometric Self-Assembly of Rigid Shapes: A Simple Voronoi Approach. - Lisa J. Larsson; Rustum Choksi; Jean-Christophe Nave (SIAM J. Appl. Math., 2016)

The Multiplier Method to Construct Conservative Finite Difference Schemes for Ordinary and Partial Differential Equations. - Andy T. S. Wan; Alexander Bihlo; Jean-Christophe Nave (SIAM J. Numer. Anal., 2016)

A Fast-marching Algorithm for Nonmonotonically Evolving Fronts. - Alexandra Tcheng; Jean-Christophe Nave (SIAM J. Sci. Comput., 2016)

High order solution of Poisson problems with piecewise constant coefficients and interface jumps. - Alexandre Noll Marques; Jean-Christophe Nave; Rodolfo Ruben Rosales (J. Comput. Phys., 2017)

Conservative Methods for Dynamical Systems. - Andy T. S. Wan; Alexander Bihlo; Jean-Christophe Nave (SIAM J. Numer. Anal., 2017)

A correction function method for the wave equation with interface jump conditions. - David S. Abraham; Alexandre Noll Marques; Jean-Christophe Nave (J. Comput. Phys., 2018)

On the Arbitrarily Long-Term Stability of Conservative Methods. - Andy T. S. Wan; Jean-Christophe Nave (SIAM J. Numer. Anal., 2018)

FDTD schemes for Maxwell interface problems with perfect electric conductors based on the correction function method. - Yann-Meing Law; Jean-Christophe Nave (CoRR, 2019)

Parametric Interpolation Framework for 1-D Scalar Conservation Laws with Non-Convex Flux Functions. - Geoffrey McGregor; Jean-Christophe Nave (CoRR, 2019)

Area-preserving geometric Hermite interpolation. - Geoffrey McGregor; Jean-Christophe Nave (J. Comput. Appl. Math., 2019)

Imposing jump conditions on nonconforming interfaces for the Correction Function Method: A least squares approach. - Alexandre Noll Marques; Jean-Christophe Nave; Rodolfo Ruben Rosales (J. Comput. Phys., 2019)

Treatment of Complex Interfaces for Maxwell's Equations with Continuous Coefficients Using the Correction Function Method. - Yann-Meing Law; Alexandre Noll Marques; Jean-Christophe Nave (J. Sci. Comput., 2020)

The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets. - Olivier Mercier; Xi-Yuan Yin; Jean-Christophe Nave (SIAM J. Sci. Comput., 2020)

A Characteristic Mapping Method for Transport on the Sphere. - Seth Taylor; Jean-Christophe Nave (CoRR, 2021)

Conservative Integrators for Vortex Blob Methods. - Cem Gormezano; Jean-Christophe Nave; Andy T. S. Wan (CoRR, 2021)

A Characteristic Mapping method for the two-dimensional incompressible Euler equations. - Xi-Yuan Yin; Olivier Mercier; Badal Yadav; Kai Schneider; Jean-Christophe Nave (J. Comput. Phys., 2021)

FDTD Schemes for Maxwell's Equations with Embedded Perfect Electric Conductors Based on the Correction Function Method. - Yann-Meing Law; Jean-Christophe Nave (J. Sci. Comput., 2021)

A Simple Geometric Method for Navigating the Energy Landscape of Centroidal Voronoi Tessellations. - Ivan Gonzalez; Rustum Choksi; Jean-Christophe Nave (SIAM J. Sci. Comput., 2021)

A Diffusion-Driven Characteristic Mapping Method for Particle Management. - Xi-Yuan Yin; Linan Chen; Jean-Christophe Nave (SIAM J. Sci. Comput., 2021)

Noncommutative Differential Geometry on Infinitesimal Spaces. - Damien Tageddine; Jean-Christophe Nave (CoRR, 2022)

Parametric interpolation framework for scalar conservation laws. - Geoffrey McGregor; Jean-Christophe Nave (J. Comput. Appl. Math., 2022)

Conservative integrators for vortex blob methods on the plane. - Cem Gormezano; Jean-Christophe Nave; Andy T. S. Wan (J. Comput. Phys., 2022)

Conservative integrators for many-body problems. - Andy T. S. Wan; Alexander Bihlo; Jean-Christophe Nave (J. Comput. Phys., 2022)

High-Order FDTD Schemes for Maxwell's Interface Problems with Discontinuous Coefficients and Complex Interfaces Based on the Correction Function Method. - Yann-Meing Law; Jean-Christophe Nave (J. Sci. Comput., 2022)

A characteristic mapping method for incompressible hydrodynamics on a rotating sphere. - Seth Taylor; Jean-Christophe Nave (CoRR, 2023)

Statistical Fluctuation of Infinitesimal Spaces. - Damien Tageddine; Jean-Christophe Nave (CoRR, 2023)

A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties. - Philipp Krah; Xi-Yuan Yin; Julius Bergmann; Jean-Christophe Nave; Kai Schneider (CoRR, 2023)

A projection-based Characteristic Mapping method for tracer transport on the sphere. - Seth Taylor; Jean-Christophe Nave (J. Comput. Phys., 2023)

A Characteristic Mapping Method for the three-dimensional incompressible Euler equations. - Xi-Yuan Yin; Kai Schneider; Jean-Christophe Nave (J. Comput. Phys., 2023)

Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method. - Julius Bergmann; Thibault Maurel-Oujia; Xi-Yuan Yin; Jean-Christophe Nave; Kai Schneider (CoRR, 2024)

Structure preserving discretization: A Berezin-Toeplitz Quantization viewpoint. - Damien Tageddine; Jean-Christophe Nave (CoRR, 2024)

A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics. - Xi-Yuan Yin; Philipp Krah; Jean-Christophe Nave; Kai Schneider (CoRR, 2024)

Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods. - Matthieu Cadiot; Jean-Philippe Lessard; Jean-Christophe Nave (SIAM J. Appl. Dyn. Syst., 2024)

Diffeomorphic Neural Operator Learning. - Seth Taylor; Alex Bihlo; Jean-Christophe Nave (CoRR, 2025)

Noncommutative Laplacian and numerical approximation of Laplace-Beltrami spectrum of compact Riemann surfaces. - Damien Tageddine; Jean-Christophe Nave (CoRR, 2025)