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Convergence of lattice Boltzmann methods with overrelaxation for a nonlinear conservation law

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Publication:6652081
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DOI10.1051/m2an/2024058MaRDI QIDQ6652081

Denise Aregba-Driollet

Publication date: 12 December 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)



zbMATH Keywords

convergencenonlinear conservation lawslattice Boltzmann method


Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Boltzmann equations (35Q20) Finite volume methods for boundary value problems involving PDEs (65N08)








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