part I Practical Application of LFA and xlfa -- chapter 1 INTRODUCTION -- chapter 2 MAIN FEATURES OF LOCAL FOURIER ANALYSIS FOR MULTIGRID -- chapter 3 MULTIGRID AND ITS COMPONENTS IN LFA -- chapter 4 USING THE FOURIER ANALYSIS SOFTWARE -- part II The Theory behind LFA -- chapter 5 FOURIER ONE-GRID OR SMOOTHING ANALYSIS -- chapter 6 FOURIER TWO- AND THREE-GRID ANALYSIS -- chapter 7 FURTHER APPLICATIONS OF LOCAL FOURIER ANALYSIS -- chapter A FOURIER REPRESENTATION OF RELAXATION.