AI RESEARCH

Walsh-Hadamard Neural Operators for Solving PDEs with Discontinuous Coefficients

arXiv CS.LG

ArXi:2511.07347v2 Announce Type: replace-cross Neural operators have emerged as powerful tools for learning solution operators of partial differential equations (PDEs). However, standard spectral methods based on Fourier transforms struggle with problems involving discontinuous coefficients due to the Gibbs phenomenon and poor representation of sharp interfaces. We