Initialisation from lattice Boltzmann to multi-step finite difference methods: modified equations and discrete observability

Basic methods in fluid mechanics (76Mxx) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

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Approximation of mono-dimensional hyperbolic systems: a lattice Boltzmann scheme as a relaxation method
Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation
The role of the kinetic parameter in the stability of two-relaxation-time advection-diffusion lattice Boltzmann schemes
Analysis of lattice Boltzmann initialization routines
Equivalent partial differential equations of a lattice Boltzmann scheme
Viscosity independent numerical errors for lattice Boltzmann models: from recurrence equations to ``magic collision numbers
Smooth initialization of lattice Boltzmann schemes
Finite Boltzmann schemes
Singular perturbation methods for ordinary differential equations
The modified equation approach to the stability and accuracy analysis of finite-difference methods
Minimal state-space realization in linear system theory: An overview
General solutions of a three-level partial difference equation
Equivalent finite difference and partial differential equations for the lattice Boltzmann method
Finite difference formulation of any lattice Boltzmann scheme
Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes
Asymptotic analysis of the lattice Boltzmann equation
On monotonicity and boundedness properties of linear multistep methods
Linear Systems Control
Controllability and observability of linear delay systems: an algebraic approach
On the derivation of the modified equation for the analysis of linear numerical methods
Monotonicity-Preserving Linear Multistep Methods
The relaxation schemes for systems of conservation laws in arbitrary space dimensions
On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations
A Simplified Lattice Boltzmann Method without Evolution of Distribution Function
L₂Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations
On Initial Conditions for the Lattice Boltzmann Method
On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
Editorial: Mesoscopic methods in engineering and science
An accurate multi-level finite difference scheme for 1D Diffusion equations derived from the lattice Boltzmann method
Truncation errors and modified equations for the lattice Boltzmann methodviathe corresponding Finite Difference schemes

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