A new look at proper orthogonal decomposition M Rathinam, LR Petzold SIAM Journal on Numerical Analysis 41 (5), 1893-1925, 2003 | 594 | 2003 |
Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method M Rathinam, LR Petzold, Y Cao, DT Gillespie The Journal of Chemical Physics 119 (24), 12784-12794, 2003 | 570 | 2003 |
Differential flatness of mechanical control systems: A catalog of prototype systems RM Murray, M Rathinam, W Sluis ASME international mechanical engineering congress and exposition, 349-357, 1995 | 367 | 1995 |
Configuration flatness of Lagrangian systems underactuated by one control M Rathinam, RM Murray SIAM journal on control and optimization 36 (1), 164-179, 1998 | 185 | 1998 |
Differential flatness and absolute equivalence of nonlinear control systems M van Nieuwstadt, M Rathinam, RM Murray SIAM Journal on Control and Optimization 36 (4), 1225-1239, 1998 | 183 | 1998 |
Consistency and stability of tau-leaping schemes for chemical reaction systems M Rathinam, LR Petzold, Y Cao, DT Gillespie Multiscale Modeling & Simulation 4 (3), 867-895, 2005 | 135 | 2005 |
Efficient computation of parameter sensitivities of discrete stochastic chemical reaction networks M Rathinam, PW Sheppard, M Khammash The Journal of chemical physics 132 (3), 2010 | 126 | 2010 |
The numerical stability of leaping methods for stochastic simulation of chemically reacting systems Y Cao, LR Petzold, M Rathinam, DT Gillespie The Journal of chemical physics 121 (24), 12169-12178, 2004 | 101 | 2004 |
Differential flatness and absolute equivalence M van Nieuwstadt, M Rathinam, RM Murray Proceedings of 1994 33rd IEEE Conference on Decision and Control 1, 326-332, 1994 | 90 | 1994 |
Dynamic iteration using reduced order models: a method for simulation of large scale modular systems M Rathinam, LR Petzold SIAM journal on Numerical Analysis 40 (4), 1446-1474, 2002 | 77 | 2002 |
A pathwise derivative approach to the computation of parameter sensitivities in discrete stochastic chemical systems PW Sheppard, M Rathinam, M Khammash The Journal of chemical physics 136 (3), 2012 | 63 | 2012 |
Reversible-equivalent-monomolecular tau: A leaping method for “small number and stiff” stochastic chemical systems M Rathinam, H El Samad Journal of Computational Physics 224 (2), 897-923, 2007 | 50 | 2007 |
Predicting drug release from degradable hydrogels using fluorescence correlation spectroscopy and mathematical modeling S Sheth, E Barnard, B Hyatt, M Rathinam, SP Zustiak Frontiers in bioengineering and biotechnology 7, 410, 2019 | 45 | 2019 |
Differentially flat nonlinear control systems M Rathinam California Institute of Technology, 1997 | 43 | 1997 |
Moment growth bounds on continuous time Markov processes on non-negative integer lattices M Rathinam Quarterly of Applied Mathematics 73 (2), 347-364, 2015 | 33 | 2015 |
A test for differential flatness by reduction to single input systems M Rathinam, WM Sluis IFAC Proceedings Volumes 29 (1), 2138-2143, 1996 | 31 | 1996 |
Option pricing with a pentanomial lattice model that incorporates skewness and kurtosis JA Primbs, M Rathinam, Y Yamada Applied Mathematical Finance 14 (1), 1-17, 2007 | 23 | 2007 |
Preconditioned Bayesian regression for stochastic chemical kinetics A Alexanderian, F Rizzi, M Rathinam, OP Le Maître, OM Knio Journal of Scientific Computing 58, 592-626, 2014 | 21 | 2014 |
Homogenization, symmetry, and periodization in diffusive random media A Alexanderian, M Rathinam, R Rostamian Acta Mathematica Scientia 32 (1), 129-154, 2012 | 20 | 2012 |
State and parameter estimation from exact partial state observation in stochastic reaction networks M Rathinam, M Yu The Journal of Chemical Physics 154 (3), 2021 | 18 | 2021 |