PDE seminar by Susanne Solem
Speaker: Susanne Solem (NTNU)
Title: A second-order numerical method for the aggregation equation
Abstract: Inspired by TVD limiter-based second-order schemes for conservation laws, we derive a second-order accurate numerical method for multi-dimensional aggregation equations. The motivation for the scheme stems from an equivalence between a one-dimensional aggregation equation and a Burgers-type equation proved by Bonaschi et al. [ESAIM: COCV, 21 (2015)]. The scheme is validated by a proof of convergence in the 1--Wasserstein metric and a selection of numerical experiments. This is joint work with J. A. Carrillo and U. S. Fjordholm.