Finite Volume Methods (FVM) have become a cornerstone in the numerical treatment of partial differential equations, particularly those governing cross-diffusion and parabolic processes. These ...

This is a preview. Log in through your library . Abstract We will consider both explicit and implicit fully discrete finite volume schemes for solving three-dimensional Maxwell's equations with ...

This is a preview. Log in through your library . Abstract We analyze the convergence of multigrid methods applied to finite element equations of second order with singularities caused by reentrant ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...