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math.NA2020
A Relaxation/Finite Difference discretization of a 2D Semilinear Heat Equation over a rectangular domain
Georgios E. Zouraris
We consider an initial and Dirichlet boundary value problem for a semilinear, two dimensional heat equation over a rectangular domain. The problem is discretized in time by a versi…
math.NA2020
Error estimation of the Relaxation Finite Difference Scheme for the nonlinear Schrödinger Equation
Georgios E. Zouraris
We consider an initial- and boundary- value problem for the nonlinear Schrödinger equation with homogeneous Dirichlet boundary conditions in the one space dimension case. We discre…