Schaber, Spencer D.; Scott, Joseph K.; Barton, Paul I. Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs. (English) Zbl 1409.65043 J. Glob. Optim. 73, No. 1, 113-151 (2019). MSC: 65L05 49M20 34A40 49M37 65L20 90C26 PDFBibTeX XMLCite \textit{S. D. Schaber} et al., J. Glob. Optim. 73, No. 1, 113--151 (2019; Zbl 1409.65043) Full Text: DOI Link
Kannan, Rohit; Barton, Paul I. Convergence-order analysis of branch-and-bound algorithms for constrained problems. (English) Zbl 1397.49042 J. Glob. Optim. 71, No. 4, 753-813 (2018). MSC: 49M20 49M29 49M37 49N15 65K05 68Q25 90C26 PDFBibTeX XMLCite \textit{R. Kannan} and \textit{P. I. Barton}, J. Glob. Optim. 71, No. 4, 753--813 (2018; Zbl 1397.49042) Full Text: DOI Link
Khan, Kamil A.; Wilhelm, Matthew; Stuber, Matthew D.; Cao, Huiyi; Watson, Harry A. J.; Barton, Paul I. Corrections to: “Differentiable McCormick relaxations”. (English) Zbl 1447.49042 J. Glob. Optim. 70, No. 3, 705-706 (2018). MSC: 49M20 90C26 65G40 26B25 49J45 PDFBibTeX XMLCite \textit{K. A. Khan} et al., J. Glob. Optim. 70, No. 3, 705--706 (2018; Zbl 1447.49042) Full Text: DOI
Kannan, Rohit; Barton, Paul I. The cluster problem in constrained global optimization. (English) Zbl 1379.49027 J. Glob. Optim. 69, No. 3, 629-676 (2017). MSC: 49M20 49M37 65K05 68Q25 90C26 90C46 PDFBibTeX XMLCite \textit{R. Kannan} and \textit{P. I. Barton}, J. Glob. Optim. 69, No. 3, 629--676 (2017; Zbl 1379.49027) Full Text: DOI Link
Khan, Kamil A.; Watson, Harry A. J.; Barton, Paul I. Differentiable McCormick relaxations. (English) Zbl 1365.49027 J. Glob. Optim. 67, No. 4, 687-729 (2017); correction ibid. 70, No. 3, 705-706 (2018). MSC: 49M20 90C26 65G40 26B25 49J45 PDFBibTeX XMLCite \textit{K. A. Khan} et al., J. Glob. Optim. 67, No. 4, 687--729 (2017; Zbl 1365.49027) Full Text: DOI Link
Wechsung, Achim; Scott, Joseph K.; Watson, Harry A. J.; Barton, Paul I. Reverse propagation of McCormick relaxations. (English) Zbl 1322.49048 J. Glob. Optim. 63, No. 1, 1-36 (2015). MSC: 49M20 49M37 90C26 65K05 PDFBibTeX XMLCite \textit{A. Wechsung} et al., J. Glob. Optim. 63, No. 1, 1--36 (2015; Zbl 1322.49048) Full Text: DOI Link
Wechsung, Achim; Schaber, Spencer D.; Barton, Paul I. The cluster problem revisited. (English) Zbl 1297.49046 J. Glob. Optim. 58, No. 3, 429-438 (2014). MSC: 49M20 49M37 90C57 90C26 65K05 68Q25 PDFBibTeX XMLCite \textit{A. Wechsung} et al., J. Glob. Optim. 58, No. 3, 429--438 (2014; Zbl 1297.49046) Full Text: DOI Link
Wechsung, Achim; Barton, Paul I. Global optimization of bounded factorable functions with discontinuities. (English) Zbl 1311.90114 J. Glob. Optim. 58, No. 1, 1-30 (2014). MSC: 90C26 49M20 65K05 PDFBibTeX XMLCite \textit{A. Wechsung} and \textit{P. I. Barton}, J. Glob. Optim. 58, No. 1, 1--30 (2014; Zbl 1311.90114) Full Text: DOI Link
Scott, Joseph K.; Barton, Paul I. Improved relaxations for the parametric solutions of ODEs using differential inequalities. (English) Zbl 1273.49034 J. Glob. Optim. 57, No. 1, 143-176 (2013). MSC: 49M20 49M37 34A40 65L05 PDFBibTeX XMLCite \textit{J. K. Scott} and \textit{P. I. Barton}, J. Glob. Optim. 57, No. 1, 143--176 (2013; Zbl 1273.49034) Full Text: DOI
Li, Xiang; Tomasgard, Asgeir; Barton, Paul I. Decomposition strategy for the stochastic pooling problem. (English) Zbl 1282.90141 J. Glob. Optim. 54, No. 4, 765-790 (2012). MSC: 90C26 90C15 PDFBibTeX XMLCite \textit{X. Li} et al., J. Glob. Optim. 54, No. 4, 765--790 (2012; Zbl 1282.90141) Full Text: DOI
Scott, Joseph K.; Stuber, Matthew D.; Barton, Paul I. Generalized McCormick relaxations. (English) Zbl 1232.49033 J. Glob. Optim. 51, No. 4, 569-606 (2011). MSC: 49M20 90C26 PDFBibTeX XMLCite \textit{J. K. Scott} et al., J. Glob. Optim. 51, No. 4, 569--606 (2011; Zbl 1232.49033) Full Text: DOI
Mitsos, Alexander; Chachuat, Benoît; Barton, Paul I. Towards global bilevel dynamic optimization. (English) Zbl 1177.90405 J. Glob. Optim. 45, No. 1, 63-93 (2009). MSC: 90C39 90C26 PDFBibTeX XMLCite \textit{A. Mitsos} et al., J. Glob. Optim. 45, No. 1, 63--93 (2009; Zbl 1177.90405) Full Text: DOI
Mitsos, Alexander; Lemonidis, Panayiotis; Barton, Paul I. Global solution of bilevel programs with a nonconvex inner program. (English) Zbl 1163.90700 J. Glob. Optim. 42, No. 4, 475-513 (2008). MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{A. Mitsos} et al., J. Glob. Optim. 42, No. 4, 475--513 (2008; Zbl 1163.90700) Full Text: DOI
Singer, Adam B.; Barton, Paul I. Global optimization with nonlinear ordinary differential equations. (English) Zbl 1091.49028 J. Glob. Optim. 34, No. 2, 159-190 (2006). MSC: 49M30 90C26 34A34 PDFBibTeX XMLCite \textit{A. B. Singer} and \textit{P. I. Barton}, J. Glob. Optim. 34, No. 2, 159--190 (2006; Zbl 1091.49028) Full Text: DOI