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

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 the nonlocal equation with a discontinuous interaction kernel. The main difficulty lies in the low regularity of the kernel, which is not Lipschitz continuous, thus preventing the application of standard arguments. Therefore, we use the radial symmetry of the problem …