ABSTRACT
In this respect, it can be considered as a preview and guideline for the following chapters where the above ingredients are discussed in detail. More precisely, Section 1.3 provides a short discussion of Fourier components and a first convergence analysis is performed for a model problem. In this way, the basic idea of local Fourier analysis is introduced. It is revisited in Chapter 2 in a more general framework with an emphasis on the main principles of local Fourier analysis omitting technical details. A systematic mathematical description of local Fourier k-grid analysis for general situations is finally given in the second part of this book (Chapters 5-7).
