Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients. - Laurent Gosse; François James (Math. Comput., 2000)

Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws. - Laurent Gosse; Charalambos G. Makridakis (SIAM J. Numer. Anal., 2000)

Convergence of relaxation schemes to the equations of elastodynamics. - Laurent Gosse; Athanasios E. Tzavaras (Math. Comput., 2001)

Localization effects and measure source terms in numerical schemes for balance laws. - Laurent Gosse (Math. Comput., 2002)

Convergence results for an inhomogeneous system arising in various high frequency approximations. - Laurent Gosse; François James (Numerische Mathematik, 2002)

Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes. - Laurent Gosse; Giuseppe Toscani (SIAM J. Numer. Anal., 2003)

Asymptotic-preserving & well-balanced schemes for radiative transfer and the Rosseland approximation. - Laurent Gosse; Giuseppe Toscani (Numerische Mathematik, 2004)

Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations. - Laurent Gosse; Giuseppe Toscani (SIAM J. Numer. Anal., 2006)

Lagrangian Numerical Approximations to One-Dimensional Convolution-Diffusion Equations. - Laurent Gosse; Giuseppe Toscani (SIAM J. Sci. Comput., 2006)

A Semiclassical Coupled Model for the Transient Simulation of Semiconductor Devices. - Philippe Bechouche; Laurent Gosse (SIAM J. Sci. Comput., 2007)

Existence, Uniqueness, and a Constructive Solution Algorithm for a Class of Finite Markov Moment Problems. - Laurent Gosse; Olof Runborg (SIAM J. Appl. Math., 2008)

Chirplet Approximation of Band-Limited, Real Signals Made Easy. - James M. Greenberg; Laurent Gosse (SIAM J. Sci. Comput., 2009)

Effective band-limited extrapolation relying on Slepian series and l1 regularization. - Laurent Gosse (Comput. Math. Appl., 2010)

A Donoho-Stark criterion for stable signal recovery in discrete wavelet subspaces. - Laurent Gosse (J. Comput. Appl. Math., 2011)

Maxwellian Decay for Well-balanced Approximations of a Super-characteristic Chemotaxis Model. - Laurent Gosse (SIAM J. Sci. Comput., 2012)

Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models. - Laurent Gosse (Multiscale Model. Simul., 2014)

A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws. - Laurent Gosse (SIAM J. Numer. Anal., 2014)

A well-balanced scheme able to cope with hydrodynamic limits for linear kinetic models. - Laurent Gosse (Appl. Math. Lett., 2015)

Locally Inertial Approximations of Balance Laws Arising in (1+1)-Dimensional General Relativity. - Laurent Gosse (SIAM J. Appl. Math., 2015)

Error Estimates for well-balanced and time-split schemes on a locally damped wave equation. - Debora Amadori; Laurent Gosse (Math. Comput., 2016)

Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations. - Laurent Gosse; Nicolas Vauchelet (SIAM J. Sci. Comput., 2016)

Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability. - Vincent Calvez; Laurent Gosse; Monika Twarogowska (SIAM J. Appl. Math., 2017)

A Truly Two-Dimensional Discretization of Drift-Diffusion Equations on Cartesian Grids. - Roberta Bianchini; Laurent Gosse (SIAM J. Numer. Anal., 2018)

A Two-Dimensional "Flea on the Elephant" Phenomenon and its Numerical Visualization. - Roberta Bianchini; Laurent Gosse; Enrique Zuazua (Multiscale Model. Simul., 2019)

Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting. - Laurent Gosse; Nicolas Vauchelet (Numerische Mathematik, 2019)

Aliasing and two-dimensional well-balanced for drift-diffusion equations on square grids. - Laurent Gosse (Math. Comput., 2020)

A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer. - Laurent Gosse; Nicolas Vauchelet (SIAM J. Numer. Anal., 2020)

Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein-Kramers Equation. - Laurent Gosse (Multiscale Model. Simul., 2021)