An Improved Integration Scheme for Mode-Coupling-Theory Equations

Within the mode-coupling theory (MCT) of glass transition, we reconsider numerical schemes to evaluate MCT functional. Here propose nonuniform discretizations wave number, in contrast standard equidistant grid, order decrease number grid points without losing accuracy. We discuss detail how integration scheme on new grids has be modified from Riemann integration. benchmark our approach by solving equations numerically for mono-disperse hard disks and spheres computing critical packing fraction nonergodicity parameters. Our results show that significant improvements performance can obtained employing a grid.