Muruhan Rathinam
Muruhan Rathinam
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A new look at proper orthogonal decomposition
M Rathinam, LR Petzold
SIAM Journal on Numerical Analysis 41 (5), 1893-1925, 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
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
Configuration flatness of Lagrangian systems underactuated by one control
M Rathinam, RM Murray
SIAM journal on control and optimization 36 (1), 164-179, 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
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
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
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
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
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
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
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
Differentially flat nonlinear control systems
M Rathinam
California Institute of Technology, 1997
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
Moment growth bounds on continuous time Markov processes on non-negative integer lattices
M Rathinam
Quarterly of Applied Mathematics 73 (2), 347-364, 2015
A test for differential flatness by reduction to single input systems
M Rathinam, WM Sluis
IFAC Proceedings Volumes 29 (1), 2138-2143, 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
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
Homogenization, symmetry, and periodization in diffusive random media
A Alexanderian, M Rathinam, R Rostamian
Acta Mathematica Scientia 32 (1), 129-154, 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
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