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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
982007
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
98*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
602008
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
442006
Approximation orders for interpolation by surface splines to rough functions
R Brownlee, W Light
IMA journal of numerical analysis 24 (2), 179-192, 2004
362004
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
212013
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
92007
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
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
42005
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
Nonequilibrium entropy limiters in lattice Boltzmann methods
RA Brownlee, AN Gorban, J Levesley
University of Leicester, 2008
2008
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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