Publications

Shkalikov, A. A.; Trunk, Carsten
On stability of closedness and self-adjointness for 2 x 2 operator matrices. - In: Mathematical notes, ISSN 1573-8876, Bd. 100 (2016), 5, S. 870-875

http://dx.doi.org/10.1134/S0001434616110274

Niebling, Julia; Eichfelder, Gabriele
A branch-and-bound algorithm for bi-objective problems. - In: Proceedings of the XIII Global Optimization Workshop, ISBN 978-989-20-6764-3, (2016), S. 57-60

An improved discarding test for a branch-and-bound algorithm for box-constrained bi-objective optimization problems is presented. The aim of the algorithm is to compute a covering of all global optimal solutions. We introduce the algorithm which uses selection, discarding and termination tests. The discarding tests are the most important aspect, because they examine in different ways whether a box can contain optimal solutions. For this, we are using the alphaBB-method from global scalar optimization and present and discuss an improved test compared to those from the literature.

http://hdl.handle.net/1822/42944

Eichfelder, Gabriele; Pilecka, Maria
Set approach for set optimization with variable ordering structures : part I: set relations and relationship to vector approach. - In: Journal of optimization theory and applications, ISSN 1573-2878, Bd. 171 (2016), 3, S. 931-946

http://dx.doi.org/10.1007/s10957-016-0992-0

Babovsky, Hans;
Discrete velocity models: bifurcations, hydrodynamic limits and application to an evaporation condensation problem. - In: AIP conference proceedings, ISSN 1551-7616, Bd. 1786 (2016), 070005, insges. 6 S.

http://dx.doi.org/10.1063/1.4967581

Schmidt, Jens M.;
Mondshein sequences (a.k.a. (2,1)-orders). - In: SIAM journal on computing, ISSN 1095-7111, Bd. 45 (2016), 6, S. 1985-2003

https://doi.org/10.1137/15M1030030