Found 228 results
In Press
Billingsley MR, Barton PI.  In Press.  Generalized derivatives of computer programs. Optimization Methods and Software.
Stechlinski P, Barton PI.  2021.  Nonsmooth Hessenberg Differential-Algebraic Equations. Journal of Mathematical Analysis and Applications. 495(1):124721.
Gomez JAlberto, Höffner K, Barton PI.  2021.  Production of Biofuels from Sunlight and Lignocellulosic Sugars using Microbial Consortia. Chemical Engineering Science. 239:116615.
Harwood SM, Barton PI.  2018.  Affine relaxations for the solutions of constrained parametric ordinary differential equations. Optimal Control Applications and Methods. 39(2):427–448.
Dowdy GR, Barton PI.  2018.  Bounds on stochastic chemical kinetic systems at steady state. The Journal of Chemical Physics. 148(8):084106.
Barton PI, Khan KA, Stechlinski P, Watson HAJ.  2018.  Computationally relevant generalized derivatives: theory, evaluation and applications. Optimization Methods and Software . 33(4-6):1030-1072.
Kannan R, Barton PI.  2018.  Convergence-order analysis of branch-and-bound algorithms for constrained problems. Journal of Global Optimization. 71(4):753–813.
Khan KA, Wilhelm M, Stuber MD, Cao H, Watson HAJ, Barton PI.  2018.  Corrections to: Differentiable McCormick relaxations. Journal of Global Optimization. 70(3):705–706.
Hellemo L, Barton PI, Tomasgard A.  2018.  Decision-dependent probabilities in stochastic programs with recourse. Computational Management Science. 15(3-4):369–395.
Dowdy GR, Barton PI.  2018.  Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming. The Journal of Chemical Physics. 149(7):074103.
Gomez JA, Höffner K, Khan KA, Barton PI.  2018.  Generalized Derivatives of Lexicographic Linear Programs. Journal of Optimization Theory and Applications. 178(2):477–501.
Stechlinski P, Khan KA, Barton PI.  2018.  Generalized Sensitivity Analysis of Nonlinear Programs. SIAM Journal on Optimization. 28(1):272–301.
Akbari A, Barton PI.  2018.  An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks. Journal of Optimization Theory and Applications. 178(2):502–537.
Stechlinski P, Patrascu M, Barton PI.  2018.  Nonsmooth Differential-Algebraic Equations in Chemical Engineering. Computers & Chemical Engineering. 114:52-68.
Patrascu M, Barton PI.  2018.  Optimal Campaigns in End-to-End Continuous Pharmaceuticals Manufacturing. Part 2: Dynamic Optimization. Chemical Engineering and Processing - Process Intensification. 125:124-132.