Robert Brownlee
Robert Brownlee
Department of Mathematics, University of Leicester
Verified email at rbrownlee.org.uk - Homepage
Title
Cited by
Cited by
Year
Stability and stabilization of the lattice Boltzmann method
RA Brownlee, AN Gorban, J Levesley
Physical Review E 75 (3), 036711, 2007
852007
Stability and stabilisation of the lattice Boltzmann method: Magic steps and salvation operations
RA Brownlee, AN Gorban, J Levesley
arXiv preprint cond-mat/0611444, 2006
85*2006
Nonequilibrium entropy limiters in lattice Boltzmann methods
RA Brownlee, AN Gorban, J Levesley
Physica A: Statistical Mechanics and its Applications 387 (2-3), 385-406, 2008
532008
Stabilization of the lattice Boltzmann method using the Ehrenfests’ coarse-graining idea
RA Brownlee, AN Gorban, J Levesley
Physical Review E 74 (3), 037703, 2006
342006
Approximation orders for interpolation by surface splines to rough functions
R Brownlee, W Light
IMA journal of numerical analysis 24 (2), 179-192, 2004
342004
Add-ons for lattice Boltzmann methods: Regularization, filtering and limiters
RA Brownlee, J Levesley, D Packwood, AN Gorban
Novel Trends in Lattice-Boltzmann Methods, 31, 2013
162013
Enhancing SPH using moving least-squares and radial basis functions
R Brownlee, P Houston, J Levesley, S Rosswog
Algorithms for Approximation, 103-112, 2007
102007
Stable simulation of fluid flow with high-Reynolds number using Ehrenfests’ steps
R Brownlee, AN Gorban, J Levesley
Numerical Algorithms 45 (1), 389-408, 2007
82007
Error estimates for interpolation of rough data using the scattered shifts of a radial basis function
RA Brownlee
Numerical Algorithms 39 (1), 57-68, 2005
52005
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
RA Brownlee, EH Georgoulis, J Levesley
SIAM Journal on Mathematical Analysis 39 (2), 554-564, 2007
42007
Stable multispeed lattice Boltzmann methods
RA Brownlee, AN Gorban, J Levesley
Arxiv preprint cond-mat/0611616, 2006
2*2006
Error estimates for interpolation of rough and smooth functions using radial basis functions
RA Brownlee
University of Leicester, 2004
22004
The Ehrenfests' coarse-graining as a paradigm for stabilising the lattice-Boltzmann method
RA Brownlee, A Gorban, J Levesley
Russian National Seminar "Modeling of Nonequilibrium Systems", 3-13, 2006
2006
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Articles 1–13