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Computational synergetics and the exploration of nonlinear science. (English) Zbl 0592.35111

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 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.
Reviewer: G.Warnecke

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
65Z05 Applications to the sciences

Citations:

Zbl 0086.241
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References:

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