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math.NA2022
A discrete-ordinate weak Galerkin method for radiative transfer equation
Maneesh Kumar Singh
This research article discusses a numerical solution of the radiative transfer equation based on the weak Galerkin finite element method. We discretize the angular variable by mean…
math.NA2022
Analysis of an implicitly extended Crank-Nicolson scheme for the heat equation on a time-dependent domain
Stefan Frei, Maneesh Kumar Singh
We consider a time-stepping scheme of Crank-Nicolson type for the heat equation on a moving domain in Eulerian coordinates. As the spatial domain varies between subsequent time ste…