2 papers
math.NA2025
Iterative thresholding low-rank time integration
Markus Bachmayr, Matthieu Dolbeault, Polina Sachsenmaier
We develop time integration methods in low-rank representation that can adaptively adjust approximation ranks to achieve a prescribed accuracy, while ensuring that these ranks rema…
math.NA2024
Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas
Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault
We construct fully-discrete schemes for the Benjamin-Ono, Calogero-Sutherland DNLS, and cubic Szegő equations on the torus, which are with $\textit{spectra…