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Weighted $\mathbb{L}^2$-Stability of the Lattice Boltzmann Method

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/num.1018openalex-snapshot
A finite difference interpretation of the lattice Boltzmann method
inferredcites →https://doi.org/10.1007/s00211-008-0196-0openalex-snapshot
Convergence of lattice Boltzmann methods for Navier–Stokes flows in periodic and bounded domains
inferredcites →https://doi.org/10.1007/s10955-005-8321-2openalex-snapshot
Asymptotic Analysis of Lattice Boltzmann Boundary Conditions
inferredcites →https://doi.org/10.1016/j.camwa.2007.08.002openalex-snapshot
Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains
inferredcites →https://doi.org/10.1016/j.jcp.2005.05.003openalex-snapshot
Asymptotic analysis of the lattice Boltzmann equation
inferredcites →https://doi.org/10.1098/rsta.2001.0955openalex-snapshot
Multiple–relaxation–time lattice Boltzmann models in three dimensions
inferredcites →https://doi.org/10.1103/physreva.45.r5339openalex-snapshot
Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
inferredcites →https://doi.org/10.1103/physreve.56.2243openalex-snapshot
Stability of lattice Boltzmann methods in hydrodynamic regimes
inferredcites →https://doi.org/10.1103/physreve.61.6546openalex-snapshot
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
inferredcites →https://doi.org/10.1103/physreve.63.066702openalex-snapshot
Thirteen-velocity three-dimensional lattice Boltzmann model
inferredcites →https://doi.org/10.1103/physrevlett.61.2332openalex-snapshot
Use of the Boltzmann Equation to Simulate Lattice-Gas Automata
inferredcites →https://doi.org/10.1137/040606211openalex-snapshot
A Stability Notion for Lattice Boltzmann Equations
inferredcites →https://doi.org/10.1146/annurev.fluid.30.1.329openalex-snapshot
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
inferredcites →https://doi.org/10.1209/0295-5075/17/6/001openalex-snapshot
Lattice BGK Models for Navier-Stokes Equation
inferredcites →https://doi.org/10.1209/0295-5075/9/4/008openalex-snapshot
Lattice Gas Dynamics with Enhanced Collisions
inferredcites →https://doi.org/10.3233/asy-2003-563openalex-snapshot
Rigorous Navier–Stokes limit of the lattice Boltzmann equation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.5599433openalex-extracted
A fourth-order lattice Boltzmann model for multi-dimensional transport equations
inferred← citeshttps://doi.org/10.1002/9781118971451.refsopenalex-snapshot
References
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Convergence of lattice Boltzmann methods for Navier–Stokes flows in periodic and bounded domains
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Finite Difference formulation of any lattice Boltzmann scheme
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Construction and Analysis of Lattice Boltzmann Methods Applied to a 1D Convection-Diffusion Equation
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Convergence of a quantum lattice Boltzmann scheme to the nonlinear Dirac equation for Gross-Neveu model in 1+1 dimensions
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Numerical Analysis of the Lattice Boltzmann Method for the Boussinesq Equations
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Weighted L 2 -stability of a discrete kinetic approximation for the incompressible Navier–Stokes equations on bounded domains
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Vectorial finite-difference-based lattice Boltzmann method: Consistency, boundary schemes and stability analysis
inferred← citeshttps://doi.org/10.1016/j.camwa.2007.08.002openalex-snapshot
Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains
inferred← citeshttps://doi.org/10.1016/j.camwa.2009.02.010openalex-snapshot
An Onsager-like relation for the lattice Boltzmann method
inferred← citeshttps://doi.org/10.1016/j.camwa.2009.08.040openalex-snapshot
On the stability structure for lattice Boltzmann schemes
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On a superconvergent lattice Boltzmann boundary scheme
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Derivation and analysis of Lattice Boltzmann schemes for the linearized Euler equations
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A structured approach to the construction of stable linear Lattice Boltzmann collision operator
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Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments
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Lattice Boltzmann for linear elastodynamics: Periodic problems and Dirichlet boundary conditions
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Single-node second-order boundary schemes for the lattice Boltzmann method
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Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes
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The lattice Boltzmann method for nearly incompressible flows
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An automatic approach for the stability analysis of multi-relaxation-time lattice Boltzmann models
inferred← citeshttps://doi.org/10.1016/j.jcp.2026.115426openalex-snapshot
A fourth-order and L2-stable lattice Boltzmann model for diagonal-anisotropic diffusion equations
inferred← citeshttps://doi.org/10.1016/j.physa.2017.11.082openalex-snapshot
On a two-relaxation-time D2Q9 lattice Boltzmann model for the Navier–Stokes equations
inferred← citeshttps://doi.org/10.1051/m2an/2025026openalex-snapshot
Limit consistency of lattice Boltzmann equations
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A low-storage adjoint lattice Boltzmann method for the control of incompressible flows
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A projection method to symmetrize the momentum flux in a vector lattice Boltzmann formulation of hydrodynamics
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Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme
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On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations
inferred← citeshttps://doi.org/10.1103/physreve.86.065701openalex-snapshot
Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions
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Theory of the Lattice Boltzmann method: Derivation of macroscopic equations via the Maxwell iteration
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Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions
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Lattice Boltzmann Method for Stochastic Convection-Diffusion Equations
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Vector-Type Boundary Schemes for the Lattice Boltzmann Method Based on Vector-BGK Models
inferred← citeshttps://doi.org/10.1137/21m140256xopenalex-snapshot
Multiresolution-Based Mesh Adaptation and Error Control for Lattice Boltzmann Methods with Applications to Hyperbolic Conservation Laws
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Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems
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Lattice-Boltzmann Method for Complex Flows
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Stability and multiscale analysis of an advective lattice Boltzmann scheme
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On Initial Conditions for the Lattice Boltzmann Method
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Inertial Frame Independent Forcing for Discrete Velocity Boltzmann Equation: Implications for Filtered Turbulence Simulation
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$L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations
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On Triangular Lattice Boltzmann Schemes for Scalar Problems
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Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations
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Dual-scale modelling of two-dimensional flow in porous media
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Numerical analysis of lattice Boltzmann schemes : from fundamental issues to efficient and accurate adaptive methods
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