The Infinitesimal Generator Approach

Abstract

The IG approach consists in approximating the space \(X\) with a finite dimensional linear space \(X_{M}\), called the discretization of \(X\) of index \(M\), and the infinitesimal generator \(\fancyscript{A}\) with a finite dimensional linear operator \(\fancyscript{A}_{M}:X_{M}\rightarrow X_{M}\), called the discretization of \(\fancyscript{A}\) of index \(M\)