Expokit: A software package for computing matrix exponentials RB Sidje ACM Transactions on Mathematical Software (TOMS) 24 (1), 130-156, 1998 | 1011 | 1998 |
Multiscale modeling of chemical kinetics via the master equation S MacNamara, K Burrage, RB Sidje Multiscale Modeling & Simulation 6 (4), 1146-1168, 2008 | 138 | 2008 |
A Krylov-based finite state projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems K Burrage, M Hegland, S Macnamara, R Sidje Proc. of The AA Markov 150th Anniversary Meeting, 2006 | 136 | 2006 |
Stochastic chemical kinetics and the total quasi-steady-state assumption: application to the stochastic simulation algorithm and chemical master equation S MacNamara, AM Bersani, K Burrage, RB Sidje The Journal of chemical physics 129 (9), 2008 | 128 | 2008 |
A numerical study of large sparse matrix exponentials arising in Markov chains RB Sidje, WJ Stewart Computational statistics & data analysis 29 (3), 345-368, 1999 | 124 | 1999 |
Inexact uniformization method for computing transient distributions of Markov chains RB Sidje, K Burrage, S MacNamara SIAM Journal on Scientific Computing 29 (6), 2562-2580, 2007 | 69 | 2007 |
Proton transport model in the ionosphere: 1. Multistream approach of the transport equations M Galand, J Lilensten, W Kofman, RB Sidje Journal of Geophysical Research: Space Physics 102 (A10), 22261-22272, 1997 | 50 | 1997 |
Analysis of trigonometric implicit Runge–Kutta methods HS Nguyen, RB Sidje, NH Cong Journal of computational and Applied Mathematics 198 (1), 187-207, 2007 | 47 | 2007 |
Understanding the finite state projection and related methods for solving the chemical master equation KN Dinh, RB Sidje Physical biology 13 (3), 035003, 2016 | 44 | 2016 |
Transient solutions of Markov processes by Krylov subspaces B Philippe, RB Sidje Computations with Markov Chains: Proceedings of the 2nd International …, 1995 | 40 | 1995 |
Solving the chemical master equation by a fast adaptive finite state projection based on the stochastic simulation algorithm RB Sidje, HD Vo Mathematical biosciences 269, 10-16, 2015 | 37 | 2015 |
Alternatives for parallel Krylov subspace basis computation RB Sidje Numerical linear algebra with applications 4 (4), 305-331, 1997 | 35 | 1997 |
Rational approximation to the Fermi–Dirac function with applications in density functional theory RB Sidje, Y Saad Numerical Algorithms 56 (3), 455-479, 2011 | 33 | 2011 |
An adaptive solution to the chemical master equation using tensors HD Vo, RB Sidje The Journal of chemical physics 147 (4), 2017 | 30 | 2017 |
Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems M Sadkane, RB Sidje Numerical Algorithms 20 (2), 217-240, 1999 | 27 | 1999 |
On functionally-fitted Runge–Kutta methods NS Hoang, RB Sidje, NH Cong BIT Numerical Mathematics 46, 861-874, 2006 | 25 | 2006 |
Approximating the large sparse matrix exponential using incomplete orthogonalization and Krylov subspaces of variable dimension HD Vo, RB Sidje Numerical linear algebra with applications 24 (3), e2090, 2017 | 24 | 2017 |
A grid implementation of chemical kinetic simulation methods in genetic regulation K Burrage, P Burrage, S Jeffrey, T Pickett, R Sidje, T Tian Proceedings of the APAC03 Conference on Advanced Computing, Grid …, 2003 | 19 | 2003 |
An adaptive solution to the chemical master equation using quantized tensor trains with sliding windows T Dinh, RB Sidje Physical Biology 17 (6), 065014, 2020 | 17 | 2020 |
An application of the Krylov-FSP-SSA method to parameter fitting with maximum likelihood KN Dinh, RB Sidje Physical Biology 14 (6), 065001, 2017 | 16 | 2017 |