chapter
4 Pages

Introduction

In this monograph, we describe the analysis of numerical methods for evolution equations that are based on temporal and spatial decomposition methods. The decomposition methods are discussed with respect to their effectivity, combination possibility with discretization methods, multi scaling possibilities, and stability to initial and boundary values problems. The treatment of spatial-dependent, stiff, and nonlinear operators are discussed, because such effects are incorporated in our proposed multi-physics model problems.