In numerical analysis, we focus on developing and analysing advanced discretization schemes, including their stability and convergence properties, using, e.g., tools from functional analysis.

A correction for truncation errors associated with implicit finite difference method (FDM) of the groundwater transport equation with reaction term, which is generally used in groundwater transport ...

A numerical method is described and analyzed for the solution of the exterior Dirichlet problem for the Helmholtz equation in three dimensions. The problem is first reformulated as a Fredholm integral ...