Certified Reduced Basis Methods for Parametrized Partial Differential Equations

"This book fills an important gap in the literature. It is an excellent starting point for young scholars approaching this new world, since it gives a well-balanced combination of theoretical aspects, practical details, and examples. ... It also gives a nice picture of the research in this field, particularly in the last two chapters which address advanced (yet crucial) topics." (Alessandro Veneziani, SIAM Review, Vol. 59 (1), 2016)

• 1 Introduction and Motivation.- 2 Parametrized Differential Equations.- 3 Reduced Basis Methods.- 4 Certified Error Control.- 5 The Empirical Interpolation Method.- 6 Beyond the Basics.- 7 Appendix A Mathematical Preliminaries.