Ivorra, Benjamín Pierre PaulMohammadi, BijanDumas, LaurentDurand, OlivierBermúdez de Castro, AlfredoGómez, DoloresQuintela, PeregrinaSalgado, Pilar2023-06-202023-06-202006978-3-540-34287-810.1007/978-3-540-34288-5_100/https://hdl.handle.net/20.500.14352/53418Proceedings of ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications Santiago de Compostela, Spain, July 2005In this paper, we reformulate global optimization problems in terms of boundary value problems. This allows us to introduce a new class of optimization algorithms. Indeed, many optimization methods, including non-deterministic ones, can be seen as discretizations of initial value problems for differential equations or systems of differential equations. Two algorithms included in this new class are applied and compared with a genetic algorithm for the design of multichannel optical filters.engbook parthttp://link.springer.com/chapter/10.1007%2F978-3-540-34288-5_100http://link.springer.comrestricted access517.9519.8Ecuaciones diferencialesInvestigación operativa (Matemáticas)1202.07 Ecuaciones en Diferencias1207 Investigación Operativa