Piotrowska, Joanna Monika

Solving discontinuous problems with pseudospectral methods [Slides]

Pseudospectral methods are a highly accurate means of solving continuous problems. They suffer the Gibbs’ phenomenon in presence of discontinuities. The Gibbs phenomenon can be robustly removed in post-processing via edge detection and mollification (arXiv:1712.09952, Piotrowska et al. in prep.) Taking advantage of the robustness of mollification, we are currently extending our working framework to 2D.