| Stability and stabilization of the lattice Boltzmann method RA Brownlee, AN Gorban, J Levesley Physical Review E 75 (3), 036711, 2007 | 96 | 2007 |
| 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 | 96* | 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 | 60 | 2008 |
| 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 | 44 | 2006 |
| Approximation orders for interpolation by surface splines to rough functions R Brownlee, W Light IMA journal of numerical analysis 24 (2), 179-192, 2004 | 35 | 2004 |
| 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 | 21 | 2013 |
| Enhancing SPH using moving least-squares and radial basis functions R Brownlee, P Houston, J Levesley, S Rosswog Algorithms for Approximation, 103-112, 2007 | 10 | 2007 |
| 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 | 9 | 2007 |
| 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 | 4 | 2007 |
| 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 | 4 | 2005 |
| 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 | 2 | 2004 |
| 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 |
Jeremy LevesleyProfessor of Applied Mathematics, University of LeicesterVerified email at le.ac.uk
