  In this paper, collocation methods are used for detecting blow-up solutions
of nonlinear homogeneous Volterra-Hammerstein integral equations. To do this,
we introduce the concept of "blow-up collocation solution" and analyze
numerically some blow-up time estimates using collocation methods in particular
examples where previous results about existence and uniqueness can be applied.
Finally, we discuss the relationships between necessary conditions for blow-up
of collocation solutions and exact solutions.
