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Kepler,von Neumann and God (More rounding-off error visualizations)
Authors:Jean-François Colonna
Affiliation:(1) GSV-LACTAMME, CNET, CMAP, Ecole Polytechnique, 91128 Palaiseau Cedex, France
Abstract:Today, both fundamental and applied research relies heavily on computers. We recall that the numerical study of nonlinear models by means of these machines depends on programs, for the associative property of the multiplicative operator is lost. TheN-body problem is used to display the sensitivity to numerical accuracy.
Keywords:Numerical simulation  Sensitivity to initial conditions  Sensitivity to numerical accuracy  Rounding-off errors  Scientific visualization
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