An interpretation and derivation of the lattice Boltzmann method using Strang splitting

The mathematical theory of non-uniform gases

Journal of the Franklin Institute · 1953 · 7.7K citations

Natural Sciences, Mathematics, Physics +14

Lattice BGK Models for Navier-Stokes Equation

Y. H. Qian, Dominique d’Humières, Pierre Lallemand · Europhysics Letters (EPL) · 1992 · 5.2K citations

Natural Sciences, Physics, Computational Fluid Dynamics +12

The mathematical theory of non-uniform gases

K. G. Budden · Journal of Atmospheric and Terrestrial Physics · 1971 · 3.6K citations

Natural Sciences, Mathematics, Physics +14

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

Natural Sciences, Mathematics, Computational Mechanics +16

A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type

J Crank, P. Nicolson · Mathematical Proceedings of the Cambridge Philosophical Society · 1947 · 3.3K citations

Natural Sciences, Mathematics, Physics +17