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 $\text{exact in time}$ with $\textit{spectra…