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On the numerical integration of the Landau equation

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FKTW05 - Frontiers in numerical analysis of kinetic equations

When applying Hamiltonian splitting for the time integration of multi-species Vlasov-Maxwell-Landau systems, the reliable and efficient numerical approximation of the Landau equation represents a fundamental component of the entire algorithm. Substantial computational issues arise from the treatment of the physically most relevant case of three dimensions and Coulomb interaction. In this talk, I will present a novel approach for the evaluation of the Landau operator. For the purpose of exposition, I will distinguish the cases of constant, regular, and singular integral kernels and adapt the procedure accordingly to the increasing complexity of the problem.  This is joint work with Jose Antonio Carrillo, University of Oxford. 

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

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