We publish in this volume the plenary talks and a selection of the papers on numerics, optimization and their applications, presented at the 22nd Conference on System Modeling and Optimization, held at the Politecnico di Torino in July 2005. The conference has been organized by the Mathematical Department of the Politecnico di Torino. IFIP is a multinational federation of professional and technical organi- tions concerned with information processes. It was established in 1959 under the auspices of UNESCO. IFIP still mantains friendly connections with s- cialized agencies of the UN systems. It consists of Technical Committees. The Seventh Technical Committee, established in 1972, was created in 1968 by A.V. Balakrishnan, J.L. Lions and G.I. Marchuk with a joint conference held in Sanremo and Novosibirsk. The present edition of the conference is dedicated to Camillo Possio, lulled by a bomb during the last air raid over Torino, in the sixtieth anniversary of his death. The special session "On the Possio equation and its special role in aeroelasticity" was devoted to his achievements. The special session "Shape Analysis and optimization" commemorates the 100th anniversary of Pompeiu thesis.weiterlesen