Speaker：Yongle Liu (University of Zurich)

Time：2026-1-5 10:30

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

We propose an improved version of the PAMPA algorithm where the solution is sought as globally continuous. We will explain the connection between PAMPA and the discontinuous Galerkin method. We will show how to recover the PAMPA method from its DG construction and how to implement the boundary conditions in a rigorous manner. In addition, we propose a method that complements the bound preserving method developed in [Abgrall et al., Communications in Computational Physics, 39 (2026), pp. 29-58.] in the sense that it is non oscillatory. Several numerical examples are presented to show that the scheme is indeed bound preserving and non-oscillatory.