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Discrete integrable systems with self-adaptive moving mesh

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Discrete Integrable Systems

In recent years, we have investigated integrable discretizations of nonlinear partial differential equations in which singularities of solutions exist. For PDEs in this class, we obtained several discrete integrable systems with self-adaptive moving mesh which can be used for numerical simulations of nonlinear PDEs. Both the Hirota’s discretization method and a geometric method are effective to construct self-adaptive moving mesh discrete integrable systems. In this talk, I will review recent our results of discrete integrable systems with self-adaptive moving mesh. This is joint work with Bao-Feng Feng and Yasuhiro Ohta.

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

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