Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel

Abstract We consider the EBT algorithm (a particle method) for nonlocal equation with a discontinuous interaction kernel. The main difficulty lies in low regularity of kernel, which is not Lipschitz continuous, thus preventing application standard arguments. Therefore, we use radial symmetry problem instead and transform it using spherical coordinates. resulting has kernel only one singularity at zero. introduce new weighted flat norm prove that method converges this norm. also comment on two-dimensional case requires theory measure spaces general metric present numerical simulations confirming theoretical results. In companion paper apply Bayesian to fit parameters model study its properties.