Publications

Found 2855 results
[ Author(Desc)] Title Type Year
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Petzold LR, Fu J, Li H, Wu S.  2014.  The time dependent propensity function for acceleration of spatial stochastic simulation of reaction-diffusion systems. JOURNAL OF COMPUTATIONAL PHYSICS. 274:524-549.
Petzold LR, Zhu WJ.  1998.  Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type. APPLIED NUMERICAL MATHEMATICS. 27:309-325.
Petzold LR, Serban R, Homescu C.  2007.  Error estimation for reduced-order models of dynamical systems. SIAM REVIEW. 49:277-299.
Petzold LR, Cao Y, Gillespie DT.  2005.  Avoiding negative populations in explicit Poisson tau-leaping. JOURNAL OF CHEMICAL PHYSICS. 123
Petzold L, Hellander S, Hellander A.  2015.  Reaction rates for mesoscopic reaction-diffusion kinetics. PHYSICAL REVIEW E. 91
Petzold L, Fu J, Wu S, Cao Y.  2011.  Michaelis-Menten speeds up tau-leaping under a wide range of conditions. JOURNAL OF CHEMICAL PHYSICS. 134
Petzold L, Cohen M, Torshizi ADoostparas.  2015.  Direct Higher Order Fuzzy Rule-based Classification System: Application in Mortality Prediction. IEEE International Conference on Bioinformatics and Biomedicine-BIBM. :846-852.
Petzold LR, Pourzanjani A, Herzog ED.  2015.  On the Inference of Functional Circadian Networks Using Granger Causality. PLOS ONE. 10
Petzold L, Li ST.  2004.  Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. JOURNAL OF COMPUTATIONAL PHYSICS. 198:310-325.
Petzold L, Zhu WJ.  1999.  Model reduction for chemical kinetics: An optimization approach. AICHE JOURNAL. 45:869-886.
Petzold LR, Cao Y, Gillespie DT.  2005.  The slow-scale stochastic simulation algorithm. JOURNAL OF CHEMICAL PHYSICS. 122
Petzold L, Li ST, Zhu WJ.  2000.  Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem. APPLIED NUMERICAL MATHEMATICS. 32:161-174.
Petzold LR, Bales BB, Alkire RC, Bezzola A.  2014.  Numerical Scaling Studies of Kinetically-Limited Electrochemical Nucleation and Growth with Accelerated Stochastic Simulations. JOURNAL OF THE ELECTROCHEMICAL SOCIETY. 161:E3001-E3008.
Petzold LR, Bales BB, Alkire RC, Bezzola A.  2014.  An exact and efficient first passage time algorithm for reaction diffusion processes on a 2D-lattice. JOURNAL OF COMPUTATIONAL PHYSICS. 256:183-197.
Petzold L, Buoni M.  2007.  An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains. JOURNAL OF COMPUTATIONAL PHYSICS. 225:2320-2332.
Petzold LR, Gillespie DT.  2003.  Improved leap-size selection for accelerated stochastic simulation. JOURNAL OF CHEMICAL PHYSICS. 119:8229-8234.
Petzold L, Cao Y, Li S, Serban R.  2006.  Sensitivity analysis of differential-algebraic equations and partial differential equations. COMPUTERS & CHEMICAL ENGINEERING. 30:1553-1559.
Petzold L, Cao Y, Li S, Serban R.  2003.  ADJOINT SENSITIVITY ANALYSIS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS: THE ADJOINT DAE SYSTEM AND ITS NUMERICAL SOLUTION. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 24:1076-1089.
Petzold LR, Cao Y, Li H, Gillespie DT.  2008.  Algorithms and software for stochastic simulation of biochemical reacting systems. BIOTECHNOLOGY PROGRESS. 24:56-61.
Petzold LR, Homescu C, Serban R.  2007.  The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 29:2621-2643.
Petzold LR, Simeon B, Serban R.  2009.  A MODEL OF MACROSCALE DEFORMATION AND MICROVIBRATION IN SKELETAL MUSCLE TISSUE. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 43:805-823.
Petzold LR, Hellander A, Gillespie DT.  2013.  Perspective: Stochastic algorithms for chemical kinetics. JOURNAL OF CHEMICAL PHYSICS. 138
Petzold L, Raha S, Yen J.  1998.  A time integration algorithm for flexible mechanism dynamics: The DAE alpha-method. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 158:341-355.
Petzold LR, Cao Y, Gillespie DT.  2006.  Efficient step size selection for the tau-leaping simulation method. JOURNAL OF CHEMICAL PHYSICS. 124
Petzold L, Drawert B, Hellander A, Lawson MJ.  2014.  Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting. JOURNAL OF COMPUTATIONAL PHYSICS. 266:89-100.

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