Computers and PDEs
by Pedro Freitas (GFMUL / Faculdade de Motricidade Humana, Universidade Técnica de Lisboa)
We discuss the interplay between the usage of computers and more classical methods in mathematics. We begin by presenting an array of examples that have had an impact within the last few years, before focusing in the field of partial differential equations and its applications. By considering examples taken from the spectral theory of the Laplacian, we then illustrate possible ways in which the two approaches complement each other and how to take advantage of both.