This paper treats an iterative shooting method based on sensitivity functions for solving non–linear two–point boundary value problems (BVPs), in the form of a fourth–order differential equation and more than four boundary conditions. The solution of this problem is possible only when the equation includes the required number of unknown parameters. In order to use this method, it is necessary to convert the BVP to an appropriate initial value problem (IVP). The presented method has been illustrated with a numerical example.

This paper treats an iterative shooting method based on sensitivity functions for solving non–linear two–point boundary value problems (BVPs), in the form of a second–order differential equation and four boundary conditions. The solution of this BVP constitutes an in–run profile of a ski jumping hill. It is characterized by reduced a normal reaction force, which has impact on ski jumper’s legs during sliding downhill. In order to use this method, it is necessary to convert the BVP to an appropriate initial value problem (IVP). Consequently, in each iteration, we must solve a system of six first–order differential equations.

Razem dla spójnego miasta. Zjawisko synergii na przykładzie współpracy Politechniki Lubelskiej i Urzędu Miasta ZaklikowaTogether for a cohesive city. The synergy phenomenon on the example of the cooperation between the Lublin University of Technology and Zaklików City Office Streszczenie Trzecie Warsztaty Studenckie z cyklu "Synergia w Architekturze" odbyły się w Zaklikowie w lipcu 2016 roku. Cykl ten jest organizowany od 2015 roku przez Politechnikę Lubelską we współpracy z władzami samorzą-dowymi ośrodków-gospodarzy. Warsztaty zaowocowały pracami studialnymi i projektami oraz rozpoczę-ciem dialogu na temat przyszłości tego miasta -pomiędzy mieszkańcami, władzami i przedstawicielami uczelni. To pierwszy etap synergicznej współpracy, której celem jest spójny i nowoczesny Zaklików.Słowa kluczowe: miasto, synergia, warsztaty studenckie, Zaklików AbstractThe third Student Workshops from the series "Synergy in Architecture" took place in Zaklików in July 2016. This series is being organized since 2015 by the Lublin University of Technology in cooperation with the local government of the hosts. The results of the workshops were studies, projects and a dialogue about the future of the city -between inhabitans, government and representatives of the University. This is the first stage of synergistic cooperation, which aims at a coherent and modern Zaklików.

No abstract