Guest editors’ preface to the special issue devoted to the 2nd International Conference “Numerical Computations: Theory and Algorithms”, June 19–25, 2016, Pizzo Calabro, Italy

This special issue of the Journal ofGlobalOptimization contains twelve high-quality research papers devoted to different aspects of global optimization such as theory, numerical methods and real-life applications. The papers included in this special issue are based on the presentations carefully selected by the guest editors among the talks delivered at the 2nd International Conference “Numerical Computations: Theory and Algorithms (NUMTA)” held in June 19–25, 2016 in Pizzo Calabro, Italy (the first NUMTA conference took place in Falerna, Italy in 2013). The NUMTA 2016 has been organized by the University of Calabria, Rende (CS), Italy, in cooperation with the Society for Industrial and Applied Mathematics, USA. The guest editors actively participated in the organization of the conference: the Program Committee of the NUMTA 2016 was chaired by Yaroslav D. Sergeyev, in their turn, Renato De Leone and Anatoly Zhigljavsky took part in the Program Committee. The goal of the NUMTA 2016 was creation of a multidisciplinary round table for an open discussion on numerical modeling nature by using traditional and emerging computational paradigms. Participants of this conference discussed several aspects of numerical computations and modeling from foundations of mathematics and computer science to advanced numerical techniques. A large part of presentations has been dedicated to optimization. Selected papers presented at the conference in the field of numerical analysis and respective applications have been published in the special issue of the international journal Applied Mathematics and Computation, Volume 318 (2018). In its turn, the present special issue contains articles dealing with global optimization. Let us give a brief description of the papers included in this special issue.

[1]  Yaroslav D. Sergeyev,et al.  GOSH: derivative-free global optimization using multi-dimensional space-filling curves , 2018, J. Glob. Optim..

[2]  Antanas Zilinskas,et al.  Performance of global random search algorithms for large dimensions , 2018, J. Glob. Optim..

[3]  Victor P. Gergel,et al.  Efficient multicriterial optimization based on intensive reuse of search information , 2018, Journal of Global Optimization.

[4]  Mikhail Posypkin,et al.  Approximating a solution set of nonlinear inequalities , 2018, J. Glob. Optim..

[5]  Roman G. Strongin,et al.  Solving a set of global optimization problems by the parallel technique with uniform convergence , 2017, Journal of Global Optimization.

[6]  Julius Zilinskas,et al.  Global optimization based on bisection of rectangles, function values at diagonals, and a set of Lipschitz constants , 2016, Journal of Global Optimization.

[7]  Francesco Archetti,et al.  Bayesian optimization of pump operations in water distribution systems , 2018, J. Glob. Optim..

[8]  Osman Y. Özaltın,et al.  On a class of bilevel linear mixed-integer programs in adversarial settings , 2018, J. Glob. Optim..

[9]  Antanas Zilinskas,et al.  An algorithm of simplicial Lipschitz optimization with the bi-criteria selection of simplices for the bi-section , 2018, J. Glob. Optim..

[10]  Adil M. Bagirov,et al.  Minimizing nonsmooth DC functions via successive DC piecewise-affine approximations , 2018, J. Glob. Optim..

[11]  Panos M. Pardalos,et al.  Serial-batching group scheduling with release times and the combined effects of deterioration and truncated job-dependent learning , 2018, J. Glob. Optim..

[12]  James M. Calvin,et al.  On convergence rate of a rectangular partition based global optimization algorithm , 2018, J. Glob. Optim..