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The video above is an animation I created during some recent research. It depicts one component of a conservative finite element approximation of a solution to a system of partial differential equations of Korteweg-de Vries type, a paradigm class of equations for the study of nonlinear, dispersive PDE. Note the solitary waves that appear over time and how they surf the dispersive tail!
For more information on my research interests, teaching, and more, feel free to take a look around the site and contact me. Let me know what you think!
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