Computational Synergetics and Innovation in Wave and Vortex Dynamics
It is demonstrated how the computer, used in a heuristic mode, has greatly augmented our understanding of the mathematics of nonlinear dynamical processes. Examples are given of recent work in soli ton mathematics (waves) and contour dynamics - a boundary integral evolutionary method that is applicable to a wide class of 2D flows. The role of good graphics in enhancing the discovery, retention and communication of new mathematical properties of equations is illustrated.
KeywordsEuler Equation Vortex Street Vortex Method Progressive Wave Contour Dynamic
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