None of the math underlying HPC or AI is for the faint of heart, and we are not about to get into the hairy details here. But Dongarra gives a pretty good idea of how it works. “The idea is to factor ...

We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...

We investigate the convergence properties of a three-dimensional quantum lattice Boltzmann scheme for the Dirac equation. These schemes were constructed as discretizations of the Dirac equation based ...