Thomas Bellotti

23 papers Journal 22

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Long-time behavior of multi-step Finite Difference schemes with boundary via steepest descent and analytic combinatorics. CoRR Thomas Bellotti, Tommaso Tenna
2026	J	`jnl`	Monotonicity and Convergence of Two-Relaxation-Times Lattice Boltzmann Schemes for a Nonlinear Conservation Law. SIAM J. Numer. Anal. Denise Aregba-Driollet, Thomas Bellotti
2025	J	`jnl`	Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes. CoRR Denise Aregba-Driollet, Thomas Bellotti
2025	J	`jnl`	Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems. SIAM J. Sci. Comput. Thomas Bellotti, Philippe Helluy, Laurent Navoret
2025	J	`jnl`	Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law. CoRR Denise Aregba-Driollet, Thomas Bellotti
2025	J	`jnl`	Perfectly transparent boundary conditions and wave propagation in lattice Boltzmann schemes. CoRR Thomas Bellotti
2025	J	`jnl`	Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation. CoRR Thomas Bellotti
2024	J	`jnl`	Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme. CoRR Thomas Bellotti
2024	J	`jnl`	Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems. CoRR Thomas Bellotti, Philippe Helluy, Laurent Navoret
2024	J	`jnl`	Initialisation from lattice Boltzmann to multi-step Finite Difference methods: Modified equations and discrete observability. J. Comput. Phys. Thomas Bellotti
2023	J	`jnl`	Initialisation from lattice Boltzmann to multi-step Finite Difference methods: modified equations and discrete observability. CoRR Thomas Bellotti
2023	—	`—`	Numerical analysis of lattice Boltzmann schemes : from fundamental issues to efficient and accurate adaptive methods. (Analyse numérique des schémas de Boltzmann sur réseau : des questions fondamentales aux méthodes adaptatives efficientes et précises). Thomas Bellotti
2023	J	`jnl`	The influence of parasitic modes on "weakly" unstable multi-step Finite Difference schemes. CoRR Thomas Bellotti
2022	J	`jnl`	Finite Difference formulation of any lattice Boltzmann scheme. CoRR Thomas Bellotti, Benjamin Graille, Marc Massot
2022	J	`jnl`	Finite Difference formulation of any lattice Boltzmann scheme. Numerische Mathematik Thomas Bellotti, Benjamin Graille, Marc Massot
2022	J	`jnl`	Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. J. Comput. Phys. Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot
2022	J	`jnl`	Multiresolution-Based Mesh Adaptation and Error Control for Lattice Boltzmann Methods with Applications to Hyperbolic Conservation Laws. SIAM J. Sci. Comput. Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot
2022	J	`jnl`	Rigorous derivation of the macroscopic equations for the lattice Boltzmann method via the corresponding Finite Difference scheme. CoRR Thomas Bellotti
2021	J	`jnl`	Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps? CoRR Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot
2021	J	`jnl`	High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations. CoRR Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot
2021	J	`jnl`	Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. CoRR Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot
2021	J	`jnl`	Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. CoRR Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot
2019	J	`jnl`	A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation. J. Comput. Phys. Thomas Bellotti, Maxime Theillard