Monotonicity for Genuinely Multi-step Methods: Results and Issues From a Simple Lattice Boltzmann Scheme

DOI10.1007/978-3-031-40860-1_4MaRDI QIDQ6191857

Thomas Bellotti

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

zbMATH Keywords

monotonicityconvergencefinite differencelattice Boltzmannmulti-step

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation
• General solutions of a three-level partial difference equation
• Finite difference formulation of any lattice Boltzmann scheme
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• Monotonicity-Preserving Linear Multistep Methods
• The Sharpness of Kuznetsov's O(√Δx)L 1 -Error Estimate for Monotone Difference Schemes

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