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Sec6_2_1.nb (166 KB) - Notebook for waves. KdV.mov (505.2 KB) - 2D animation of solitons Numerical and Analytical Methods for Scientists and Engineers Using Mathematica Ĭollapse.mov (821 KB) - 2D animation of gravitational collapse or animations in class Assigning Student Projects (Video Tutorial) - Give. Nonlinear, kdV, Galerkin, soliton, oscillating boundary, gravitational collapse Mathematica is used in virtually all of the worlds top research universities. Wolfram Technology > Programming > Animations More methodologies are available in the book. A gravitational collapse from a random initial condition via the particle in cell method. Animations can convey much more information than static displays. A solution to the linear wave equation with varying wave speed and an oscillating boundary (using the CTCS grid) 3. A solution of the nonlinear kdV equation (using the Galerkin method) that exhibits the breakup of a smooth initial condition into solitons. Once a method has been programmed in Mathematica, it is straightforward to provide instructive visualizations.

Finance, Statistics & Business Analysisįor the newest resources, visit Wolfram Repositories and Archives »Īnimations from Numerical and Analytical Methods for Scientists and Engineers, using Mathematica.

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