Linear Difference Equations and Matrix Theorems
by Germund Dahquist and Randall LeVeque

Dahlquist's Lecture Notes from the course
    Numerical Treatment of Initial Value Problems
at the Royal Institute of Technology (KTH), Stockholm

(Translated by RJL while a visiting student at KTH in 1981)

kth81.pdf (scanned pdf file)

Much of this material also appears in the forthcoming book
    Finite Difference Methods for Ordinary and Partial Differential Equations