Stability and stabilization of the lattice Boltzmann method RA Brownlee, AN Gorban, J Levesley Physical Review E 75 (3), 036711, 2007 | 102 | 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 | 102* | 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 | 62 | 2008 |
Stabilization of the lattice Boltzmann method using the Ehrenfests’ coarse-graining idea RA Brownlee, AN Gorban, J Levesley Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 74 (3 …, 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 | 36 | 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 | 23 | 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 | 11 | 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 |
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 |