Fast direct solvers have emerged as a transformative approach in the numerical resolution of integral equations pivotal to electromagnetic analysis. These methods are designed to resolve the dense ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Neural networks suffer from spectral bias and have difficulty representing the high-frequency components of a function, whereas relaxation methods can resolve high frequencies efficiently but stall at ...