Discretizations of nonlinear dissipative evolution equations. Order and convergence.
The theme of this thesis is to study discretizations of nonlinear dissipative evolution equations, which arise in e.g. advection-diffusion-reaction processes. The convergence analysis is conducted by first considering an abstract time discretization of the problem, which enables a decoupling of the time and spatial approximations, and secondly by introducing the spatial discretization as an evolut
