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An explicit well-balanced scheme on staggered grids for barotropic Euler equations
Thierry Goudon and Sebastian Minjeaud ESAIM: Mathematical Modelling and Numerical Analysis 58(4) 1263 (2024) https://doi.org/10.1051/m2an/2024035
A consistent quasi–second-order staggered scheme for the two-dimensional shallow water equations
Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri and Nicolas Therme IMA Journal of Numerical Analysis 43(1) 99 (2023) https://doi.org/10.1093/imanum/drab086
A finite volume flux coordinate independent approach
An explicit finite volume scheme on staggered grids for the Euler equations: Unstructured meshes, stability analysis, and energy conservation
Thierry Goudon, Julie Llobell and Sebastian Minjeaud International Journal for Numerical Methods in Fluids 94(1) 76 (2022) https://doi.org/10.1002/fld.5048
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Edwige Godlewski and Pierre-Arnaud Raviart Applied Mathematical Sciences, Numerical Approximation of Hyperbolic Systems of Conservation Laws 118 425 (2021) https://doi.org/10.1007/978-1-0716-1344-3_5
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Edwige Godlewski and Pierre-Arnaud Raviart Applied Mathematical Sciences, Numerical Approximation of Hyperbolic Systems of Conservation Laws 118 215 (2021) https://doi.org/10.1007/978-1-0716-1344-3_4
An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes
Thierry Goudon, Julie Llobell and Sebastian Minjeaud Numerical Methods for Partial Differential Equations 36(5) 1098 (2020) https://doi.org/10.1002/num.22466
Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations
Raphaèle Herbin, Jean-Claude Latché and Trung Tan Nguyen ESAIM: Mathematical Modelling and Numerical Analysis 52(3) 893 (2018) https://doi.org/10.1051/m2an/2017055
A class of robust numerical schemes to compute front propagation
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
Thierry Goudon, Julie Llobell and Sebastian Minjeaud Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems 200 91 (2017) https://doi.org/10.1007/978-3-319-57394-6_10
Semi-implicit staggered mesh scheme for the multi-layer shallow water system
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Rémi Abgrall and Sophie Dallet Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems 78 749 (2014) https://doi.org/10.1007/978-3-319-05591-6_75
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Nicolas Therme and Chady Zaza Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems 78 975 (2014) https://doi.org/10.1007/978-3-319-05591-6_99
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Thierry Gallouët, David Maltese and Antonín Novotný Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 383 (2014) https://doi.org/10.1007/978-3-319-05684-5_37
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Florent Berthelin, Thierry Goudon and Sebastian Minjeaud Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 97 (2014) https://doi.org/10.1007/978-3-319-05684-5_8
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
R. Herbin, W. Kheriji and J.-C. Latché ESAIM: Mathematical Modelling and Numerical Analysis 48(6) 1807 (2014) https://doi.org/10.1051/m2an/2014021
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
D. Doyen and P. H. Gunawan Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 227 (2014) https://doi.org/10.1007/978-3-319-05684-5_21