Computational synergetics and the exploration of nonlinear science (Q1075532)

The topic of this article is the fruitful interaction between nonlinear analysis and heuristic numerical studies. This approach dates back to the famous Fermi-Pasta-Ulam nonlinear lattice problem. It was advocated by \textit{S. M. Ulam} [''A collection of mathematical problems'' (1960; Zbl 0086.241)] in 1961. The author cites a number of examples where this approach provided useful insight into problems of nonlinear analysis (mathematical physics, fluid mechanics). He also asserts the future possibilities employing new computer technology.