Publications
Found 13 results
Filters: Author is Joseph K. Scott [Clear All Filters]
Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs. Journal of Global Optimization. 73:113-151.
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2019. Bounds on reachable sets using ordinary differential equations with linear programs embedded. IMA Journal of Mathematical Control and Information. 33(2):519-541.
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2016. Convex and Concave Relaxations of Implicit Functions. Optimization Methods and Software. 30(3):424-460.
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2015. Reachability Analysis and Deterministic Global Optimization of DAE Models. Surveys in Differential-Algebraic Equations III. :61-116.
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2015. Reverse propagation of McCormick relaxations. Journal of Global Optimization. 63(1):1-36.
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2015. Bounds on the reachable sets of nonlinear control systems. Automatica. 49:93-100.
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2013. Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations. Journal of Optimization Theory and Applications. 156:617-649.
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2013. Improved relaxations for the parametric solutions of ODEs using differential inequalities. Journal of Global Optimization. 57:143-176.
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2013. Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis. Numerische Mathematik. 125:1-25.
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2013. Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation. Numerische Mathematik. 125:27-60.
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2013. Nonlinear convex and concave relaxations for the solutions of parametric ODEs. Optimal Control Applications and Methods. 34:145-163.
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2013. Generalized McCormick relaxations. Journal of Global Optimization. 51:569-606.
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2011. Tight, efficient bounds on the solutions of chemical kinetics models. Computers & Chemical Engineering. 34:717-731.
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2010.