Publications

Found 232 results
2006
Singer AB, Barton PI.  2006.  Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations. SIAM Journal on Scientific Computing. 27:2167-2182.
Singer AB, Taylor JW, Barton PI, Green WH.  2006.  Global Dynamic Optimization for Parameter Estimation in Chemical Kinetics. The Journal of Physical Chemistry A. 110:971-976.
Chachuat B, Singer AB, Barton PI.  2006.  Global Methods for Dynamic Optimization and Mixed-Integer Dynamic Optimization. Industrial & Engineering Chemistry Research. 45:8373-8392.
Singer AB, Barton PI.  2006.  Global Optimization with Nonlinear Ordinary Differential Equations. Journal of Global Optimization. 34:159-190.
Barton PI, Lee C K, Yunt M.  2006.  Optimization of hybrid systems. Computers & Chemical Engineering. 30:1576-1589.
Oluwole OO, Bhattacharjee B, Tolsma JE, Barton PI, Green WH.  2006.  Rigorous valid ranges for optimally reduced kinetic models. Combustion and Flame. 146:348-365.
2005
Özyurt DB, Barton PI.  2005.  Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals. SIAM Journal on Scientific Computing. 26:1725-1743.
Chachuat B, Singer AB, Barton PI.  2005.  Global mixed-integer dynamic optimization. AIChE Journal. :2235-2253.
Lee C K, Barton PI.  2005.  Global optimization of linear hybrid systems with varying time events. International Journal of Software Engineering and Knowledge Engineering. 15:467-472.
Bhattacharjee B, Lemonidis P, Green WH, Barton PI.  2005.  Global solution of semi-infinite programs. Mathematical Programming. 103:283-307.
Bhattacharjee B, Lemonidis P, Green WH, Barton PI.  2005.  Interval Methods for Semi-infinite Programs", , 30(1):63-93, 2005. Computational Optimization and Applications. 30:63-93.
Ozyurt DB, Barton PI.  2005.  Large-Scale Dynamic Optimization Using the Directional Second-Order Adjoint Method. Industrial & Engineering Chemistry Research. 44:1804-1811.
Chachuat B, Mitsos A, Barton PI.  2005.  Optimal design and steady-state operation of micro power generation employing fuel cells. Chemical Engineering Science. 60:4535-4556.
Mitsos A, Hencke MM, Barton PI.  2005.  Product engineering for man-portable power generation based on fuel cells. AIChE Journal. 51:2199-2219.
2004
Mitsos A, Palou-Rivera I, Barton PI.  2004.  Alternatives for Micropower Generation Processes. Industrial & Engineering Chemistry Research. 43:74-84.
Barton PI, Lee C K.  2004.  Design of process operations using hybrid dynamic optimization. Computers & Chemical Engineering. 28:955-969.
Lee C K, Singer AB, Barton PI.  2004.  Global optimization of linear hybrid systems with explicit transitions. Systems & Control Letters. 51:363-375.
Kesavan P, Allgor RJ, Gatzke EP, Barton PI.  2004.  Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs. Mathematical Programming. 100:517-535.
2003
Lee C K, Barton PI.  2003.  Global Dynamic Optimization of Linear Time Varying Hybrid Systems. Dynamics of Continuous Discrete and Impulsive Systems - Series B. S:153-158.
Martinson WS, Barton PI.  2003.  Index and Characteristic Analysis of Linear PDAE Systems. SIAM Journal on Scientific Computing. 24:905-923.
Bhattacharjee B, Schwer DA, Barton PI, Green WH.  2003.  Optimally-reduced kinetic models: reaction elimination in large-scale kinetic mechanisms. Combustion and Flame. 135:191-208.
2002
Gatzke EP, Tolsma JE, Barton PI.  2002.  Construction of Convex Relaxations Using Automated Code Generation Techniques. Optimization and Engineering. 3:305-326.
Tolsma JE, Barton PI.  2002.  Hidden Discontinuities and Parametric Sensitivity Calculations. SIAM Journal on Scientific Computing. 23:1861-1874.
Reissig G, Boche H, Barton PI.  2002.  On inconsistent initial conditions for linear time-invariant differential-algebraic equations. IEEE Transactions on circuits and systems {I}: Fundamental theory and applications. 49:1646-1648.
Barton PI, Lee C K.  2002.  Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. ACM Transactions on Modeling and Computer Simulation. 12:256–289.

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