In this chapter we present several applications of the theory of multilevel GLT sequences to the computation of the singular value and eigenvalue distribution of matrix-sequences arising from the numerical discretization of PDEs. In order to understand the content of this chapter, it is enough that the reader knows the summary of Chap. 6 and possesses the necessary prerequisites, most of which have been addressed in Chap. 2 and . Indeed, our arguments/derivations in this chapter will never refer to Chaps. 1– 5, i.e., they will only rely on the summary of Chap. 6. For more applications than the ones presented herein, we refer the reader to [22, Sect. 1.1], where specific pointers to the available literature are provided.