Publications

Found 232 results
In Press
Cavalcanti SM, Barton PI.  In Press.  Level sets of nonsmooth functions, part 1: Lipschitz and piecewise-differentiable rank theorems. Journal of Mathematical Analysis and Applications.
2024
Song Y, Barton PI.  2024.  Generalized derivatives of optimal-value functions with parameterized convex programs embedded. Journal of Global Optimization.
Holtorf F, Barton PI.  2024.  Tighter Bounds on Transient Moments of Stochastic Chemical Systems. Journal of Optimization Theory and Applications. 200:104-149.
2021
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.
2018
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.

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