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Integrable discretizations of integrable nonlinear differential equations with hodograph transformations

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HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

Solution structure preserving discretizations of integrable systems, i.e., integrable discretizations, have been actively studied in recent years.  We have obtained self-adaptive moving mesh schemes of several soliton equations involving hodograph transformations such that the Camassa-Holm equation  and the short pulse equation in which mesh intervals are automatically adjusted. I will talk about the construction of self-adaptive moving lattice schemes for the short pulse type equations under general boundary conditions and its application to numerical computations, as well as integrable discretizations of the SIR model.

This talk is part of the Isaac Newton Institute Seminar Series series.

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