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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
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
Scott, J. K., and P. I. Barton, "Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation", Numerische Mathematik: Springer-Verlag, In Press. Abstract
Scott, J. K., B. Chachuat, and P. I. Barton, "Nonlinear convex and concave relaxations for the solutions of parametric ODEs", Optimal Control Applications and Methods, vol. 34, issue 2: John Wiley & Sons, Ltd, pp. 145-163, 2013. 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
Scott, J. K., and P. I. Barton, "Improved relaxations for the parametric solutions of ODEs using differential inequalities", Journal of Global Optimization: Springer Netherlands, In Press. 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
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
Scott, J. K., and P. I. Barton, "Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis", Numerische Mathematik: Springer-Verlag, In Press. Abstract
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
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., and P. I. Barton, "Global Optimization with Nonlinear Ordinary Differential Equations", Journal of Global Optimization, vol. 34, no. 2, pp. 159-190, 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
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
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
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