This is a preview. Log in through your library . Abstract The concepts of convergence, consistency and stability are given very general definitions that are applicable to any numerical computation.

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

In this paper, we introduce a general approach for proving optimal L² error estimates for the semidiscrete local discontinuous Galerkin (LDG) methods solving linear ...