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math.NA2023
On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation
Piotr Gwiazda, Jakub Skrzeczkowski, Lara Trussardi
It is well-known that one can construct solutions to the nonlocal Cahn-Hilliard equation with singular potentials via Yosida approximation with parameter . The usual method…
math.NA2021
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel
Piotr Gwiazda, Błażej Miasojedow, Jakub Skrzeczkowski +1
We consider the EBT algorithm (a particle method) for the non-local equation with a discontinuous interaction kernel. The main difficulty lies in the low regularity of the kernel w…