Publications

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2001
Cheong, W., and P. I. Barton, Process Design Tools for the Environment, , New York, NY, Taylor and Francis, pp. 219-245, 2001.
Green, W. H., P. I. Barton, B. Bhattacharjee, D. M. Matheu, D. A. Schwer, J. Song, R. Sumathi, H. - H. Carstensen, A. M. Dean, and J. M. Grenda, "Computer Construction of Detailed Chemical Kinetic Models for Gas-Phase Reactors", Industrial & Engineeering Chemistry Research, vol. 40, no. 23, pp. 5362-5370, 2001. Abstract
2002
Schwer, D. A., J. E. Tolsma, W. H. Green, and P. I. Barton, "On upgrading the numerics in combustion chemistry codes", Combustion and Flame, vol. 128, no. 3, pp. 270 - 291, 2002. Abstract
2003
Bhattacharjee, B., D. A. Schwer, P. I. Barton, and W. H. Green, "Optimally-reduced kinetic models: reaction elimination in large-scale kinetic mechanisms", Combustion and Flame, vol. 135, no. 3, pp. 191 - 208, 2003. Abstract
2004
Lee, C. K., A. B. Singer, and P. I. Barton, "Global optimization of linear hybrid systems with explicit transitions", Systems & Control Letters, vol. 51, no. 5, pp. 363 - 375, 2004. Abstract
2005
Chachuat, B., A. B. Singer, and P. I. Barton, "Global mixed-integer dynamic optimization", AIChE Journal, no. 8, pp. 2235-2253, 2005. Abstract
2006
Singer, A. B., and P. I. Barton, "Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations", SIAM Journal on Scientific Computing, vol. 27, no. 6: SIAM, pp. 2167-2182, 2006. Abstract
Singer, A. B., J. W. Taylor, P. I. Barton, and W. H. Green, "Global Dynamic Optimization for Parameter Estimation in Chemical Kinetics", The Journal of Physical Chemistry A, vol. 110, no. 3, pp. 971-976, 2006. Abstract
Chachuat, B., A. B. Singer, and P. I. Barton, "Global Methods for Dynamic Optimization and Mixed-Integer Dynamic Optimization", Industrial & Engineering Chemistry Research, vol. 45, no. 25, pp. 8373-8392, 2006. Abstract
Singer, A. B., and P. I. Barton, "Global Optimization with Nonlinear Ordinary Differential Equations", Journal of Global Optimization, vol. 34, no. 2, pp. 159-190, 2006. Abstract
2008
Selot, A., L. K. Kuok, M. Robinson, T. L. Mason, and P. I. Barton, "A short-term operational planning model for natural gas production systems", AIChE Journal, vol. 54, no. 2, 2008. Abstract
2010
Solis, E. O. P., P. I. Barton, and G. Stephanopoulos, "Controlled Formation of Nanostructures with Desired Geometries. 1. Robust Static Structures", Industrial & Engineeering Chemistry Research, vol. 49, issue 17, pp. 7728 - 7745, 2010. Abstract
Solis, E. O. P., P. I. Barton, and G. Stephanopoulos, "Controlled Formation of Nanostructures with Desired Geometries. 2. Robust Dynamic Paths", Industrial & Engineeering Chemistry Research, vol. 49, issue 17, pp. 7746 - 7757, 2010. Abstract
Stuber, M. D., V. Kumar, and P. I. Barton, "Nonsmooth exclusion test for finding all solutions of nonlinear equations", BIT Numerical Mathematics, vol. 50, issue 4: Springer Netherlands, pp. 885-917, 2010. Abstract
Scott, J. K., and P. I. Barton, "Tight, efficient bounds on the solutions of chemical kinetics models", Computers & Chemical Engineering, vol. 34, issue 5, pp. 717 - 731, 2010. Abstract
2011
Schaber, S. D., D. I. Gerogiorgis, R. Ramachandran, J. M. B. Evans, P. I. Barton, and B. L. Trout, "Economic Analysis of Integrated Continuous and Batch Pharmaceutical Manufacturing: A Case Study", Industrial & Engineering Chemistry Research, vol. 50, issue 17, pp. 10083-10092, 2011. Abstract
Scott, J. K., M. D. Stuber, and P. I. Barton, "Generalized McCormick relaxations", Journal of Global Optimization, vol. 51, issue 4, pp. 569-606, 2011. Abstract
Stuber, M. D., and P. I. Barton, "Robust simulation and design using semi-infinite programs with implicit functions", International Journal of Reliability and Safety, vol. 5, issue 3/4, pp. 378-397, 2011. Abstract
Khan, K. A., V. P. Saxena, and P. I. Barton, "Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems", SIAM Journal on Scientific Computing, vol. 33, issue 4: SIAM, pp. 1475-1504, 2011. Abstract
2012
Sundaramoorthy, A., J. M. B. Evans, and P. I. Barton, "Capacity Planning under Clinical Trials Uncertainty in Continuous Pharmaceutical Manufacturing, 1: Mathematical Framework", Industrial & Engineering Chemistry Research, vol. 51, issue 42, pp. 13692-13702, 2012. Abstract
Sundaramoorthy, A., X. Li, J. M. B. Evans, and P. I. Barton, "Capacity Planning under Clinical Trials Uncertainty in Continuous Pharmaceutical Manufacturing, 2: Solution Method", Industrial & Engineering Chemistry Research, vol. 51, issue 42, pp. 13703-13711, 2012. Abstract
Lakerveld, R., G. Stephanopoulos, and P. I. Barton, "A master-equation approach to simulate kinetic traps during directed self-assembly", Journal of Chemical Physics, vol. 136, issue 18, no. 18: AIP, pp. 184109, 2012. Abstract
2013
Scott, J. K., and P. I. Barton, "Bounds on the reachable sets of nonlinear control systems", Automatica, vol. 49, issue 1, pp. 93-100, 2013. Abstract
Scott, J. K., and P. I. Barton, "Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations", Journal of Optimization Theory and Applications, vol. 156, issue 3: Springer Netherlands, pp. 617-649, 2013. Abstract
Zhou, L., M. Su, B. Benyahia, A. Singh, P. I. Barton, B. L. Trout, A. S. Myerson, and R. D. Braatz, "Mathematical modeling and design of layer crystallization in a concentric annulus with and without recirculation", AIChE Journal, vol. 59, issue 4, pp. 1308-1321, 2013. Abstract