Abstract
The talk to be presented is about the domain of mathematical computation which extends beyond modern calculus and classical analysis when numbers are not restricted to belong to a commutative field. It describes the dynamics of complexification, resulting in an endless remorphing of the computational landscape. Nonlinear computation weaves a colourful tapestry always in a state of becoming. In the process, some meta-principles emerge which guide the autonomous evolution of mathematical computation. These organic principles are essential keys to analyze very large numerical simulations of unstable phenomena: they lie at the heart of the new theory of Qualitative Computing.
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© 2010 Springer-Verlag Berlin Heidelberg
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Chatelin, F. (2010). A Computational Journey into Nonlinearity. In: Calude, C.S., Hagiya, M., Morita, K., Rozenberg, G., Timmis, J. (eds) Unconventional Computation. UC 2010. Lecture Notes in Computer Science, vol 6079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13523-1_3
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DOI: https://doi.org/10.1007/978-3-642-13523-1_3
Publisher Name: Springer, Berlin, Heidelberg
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