Publications

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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
Martinson, W. S., and P. I. Barton, "Index and Characteristic Analysis of Linear PDAE Systems", SIAM Journal on Scientific Computing, vol. 24, no. 3: SIAM, pp. 905-923, 2003. 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
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
Bhattacharjee, B., P. Lemonidis, W. H. Green, and P. I. Barton, "Interval Methods for Semi-infinite Programs", , 30(1):63-93, 2005", Computational Optimization and Applications, vol. 30, no. 1, pp. 63-93, 2005. Abstract
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Ozyurt, D. B., and P. I. Barton, "Large-Scale Dynamic Optimization Using the Directional Second-Order Adjoint Method", Industrial & Engineering Chemistry Research, vol. 44, no. 6, pp. 1804-1811, 2005. Abstract
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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
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
Mitsos, A., B. Chachuat, and P. I. Barton, "McCormick-Based Relaxations of Algorithms", SIAM Journal on Optimization, vol. 20, no. 2: SIAM, pp. 573-601, 2009. Abstract
Mitsos, A., B. Chachuat, and P. I. Barton, "Methodology for the Design of Man-Portable Power Generation Devices", Industrial & Engineering Chemistry Research, vol. 46, no. 22, pp. 7164-7176, 2007. Abstract
Allgor, R. J., and P. I. Barton, "Mixed-integer dynamic optimization", Computers & Chemical Engineering, vol. 21, no. Supplement 1, pp. S451 - S456, 1997. Abstract
Allgor, R. J., and P. I. Barton, "Mixed-integer dynamic optimization I: problem formulation", Computers & Chemical Engineering, vol. 23, no. 4-5, pp. 567 - 584, 1999. Abstract
Lakerveld, R., B. Benyahia, R. D. Braatz, and P. I. Barton, "Model-based design of a plant-wide control strategy for a continuous pharmaceutical plant", AIChE Journal, In Press. Abstract
Barton, P. I., and C. C. Pantelides, "Modeling of combined discrete/continuous processes", AIChE Journal, vol. 40, pp. 966-979, 1994. Abstract
Kreul, L. U., A. Górak, and P. I. Barton, "Modeling of homogeneous reactive separation processes in packed columns", Chemical Engineering Science, vol. 54, no. 1, pp. 19 - 34, 1999. Abstract
Barton, P. I., "Modeling, Simulation and Sensitivity Analysis of Hybrid Systems", Proceedings of the 2000 IEEE International Symposium on Computer-Aided Control System Design, pp. 117-122, 2000. Abstract
Barton, P. I., and C. K. Lee, "Modeling, simulation, sensitivity analysis, and optimization of hybrid systems", ACM Transactions on Modeling and Computer Simulation, vol. 12, no. 4, New York, NY, USA, ACM, pp. 256–289, 2002. Abstract
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Barton, P. I., and C. Hwang, "No Connection between the {AREA} Criterion and Phase Stability Has Been Established", Industrial & Engineering Chemistry Research, vol. 39, no. 9, pp. 3398, 2000.
Li, X., A. Tomasgard, and P. I. Barton, "Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs", Journal of Optimization Theory and Applications, vol. 151, issue 3: Springer Netherlands, pp. 425-454, 2011. Abstract
Li, X., Y. Chen, and P. I. Barton, "Nonconvex Generalized Benders Decomposition with Piecewise Convex Relaxations for Global Optimization of Integrated Process Design and Operation Problems", Industrial & Engineering Chemistry Research, vol. 51, issue 21, pp. 7287-7299, 2012. 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
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
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Oluwole, O. O., P. I. Barton, and W. H. Green, "Obtaining accurate solutions using reduced chemical kinetic models: a new model reduction method for models rigorously validated over ranges", Combustion Theory and Modelling, vol. 11, no. 1, pp. 127-146, 2007. Abstract
Tolsma, J. E., and P. I. Barton, "On computational differentiation", Computers & Chemical Engineering, vol. 22, no. 4-5, pp. 475 - 490, 1998. Abstract
Reissig, G., H. Boche, and P. I. Barton, "On inconsistent initial conditions for linear time-invariant differential-algebraic equations", IEEE Transactions on circuits and systems {I}: Fundamental theory and applications, vol. 49, no. 11, pp. 1646-1648, 2002. Abstract