Publications

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Petzold L, Zhu WJ.  1999.  Parallel sensitivity analysis for DAEs with many parameters. CONCURRENCY-PRACTICE AND EXPERIENCE. 11:571-585.
Petzold L, Meinhart C, Zhu LD, Tretheway D.  2005.  Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method. JOURNAL OF COMPUTATIONAL PHYSICS. 202:181-195.
Petzold L, Gillespie D, Cao Y.  2005.  Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. JOURNAL OF COMPUTATIONAL PHYSICS. 206:395-411.
Petzold L, Bhattacharjee K.  2014.  Probabilistic User-Level Opinion Detection on Online Social Networks. Lecture Notes in Computer Science. 8851:309-325.
Petzold L., Buoni M..  2009.  An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. :296-302.
Petzold L, Cao Y.  2003.  A subspace error estimate or linear systems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. 24:787-801.
Petzold L, Cao Y.  2004.  A posteriori error estimation and global error control for ordinary differential equations by the adjoint method. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 26:359-374.
Petzold L, Sturrock M, Chaplain MAJ, Aldakheel S, Hellander A.  2014.  The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network. BULLETIN OF MATHEMATICAL BIOLOGY. 76:766-798.
Petzold L, Cao Y.  2006.  Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems. JOURNAL OF COMPUTATIONAL PHYSICS. 212:6-24.
Petzold L, Zheng Z.  2006.  Runge-Kutta-Chebyshev projection method. JOURNAL OF COMPUTATIONAL PHYSICS. 219:976-991.
Petzold L, Krintz C.  2012.  Stochastic Simulation Service: Towards an Integrated Development Environment for Modeling and Simulation of Stochastic Biochemical Systems. :2303-2324.
Petzold L, Li ST.  2000.  Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 125:131-145.
Petzold L, Li H.  2010.  EFFICIENT PARALLELIZATION OF THE STOCHASTIC SIMULATION ALGORITHM FOR CHEMICALLY REACTING SYSTEMS ON THE GRAPHICS PROCESSING UNIT. INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS. 24:107-116.
Petzold L, Hellander S.  2017.  Reaction rates for reaction-diffusion kinetics on unstructured meshes. JOURNAL OF CHEMICAL PHYSICS. 146
Petzold L, Cao Y.  2004.  An error estimate for matrix equations. APPLIED NUMERICAL MATHEMATICS. 50:395-407.
Petzold L, Bhattacharjee K.  2015.  Detecting Opinions in a Temporally Evolving Conversation on Twitter. Lecture Notes in Computer Science. 9471:82-97.
Petzold L, Zhang Y, Jiang R.  2017.  Survival Topic Models for Predicting Outcomes for Trauma Patients. IEEE International Conference on Data Engineering. :1497-1504.
Petzold L, Li ST, Cao Y.  2002.  Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 149:171-191.
Petzold L, Li H, Cao Y.  2004.  Efficient formulation of the stochastic simulation algorithm for chemically reacting systems. JOURNAL OF CHEMICAL PHYSICS. 121:4059-4067.
Petzold LR, Cao Y, Gillespie DT.  2005.  Accelerated stochastic simulation of the stiff enzyme-substrate reaction. JOURNAL OF CHEMICAL PHYSICS. 123
Petzold L, Drawert B, Trogdon M, Hellander S, Yi T-M.  2016.  A framework for discrete stochastic simulation on 3D moving boundary domains. JOURNAL OF CHEMICAL PHYSICS. 145
Petzold L, Hellander S.  2016.  Reaction rates for a generalized reaction-diffusion master equation. PHYSICAL REVIEW E. 93
Petzold L, Cohen M, Torshizi ADoostparas.  2017.  Multivariate soft repulsive system identification for constructing rule-based classification systems: Application to trauma clinical data. NEUROCOMPUTING. 245:77-85.
Petzold L, Cao Y.  2008.  Slow-scale tau-leaping method. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 197:3472-3479.
Petzold LR, Gillespie DT.  2003.  Improved leap-size selection for accelerated stochastic simulation. JOURNAL OF CHEMICAL PHYSICS. 119:8229-8234.

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