This work is intended to serve as a guide for graduate students and researchers who wish to
get acquainted with the main theoretical and practical tools for the numerical minimization of …

This survey is devoted to the asymptotic behavior of solutions of evolution equations
generated by maximal monotone operators in Hilbert spaces. The emphasis is in the …

We are concerned with the study of a class of forward-backward penalty schemes for solving
variational inequalities 0∈Ax+N_C(x) where H is a real Hilbert space, A:H\rightrightarrowsH …

We consider the Tikhonov-like dynamics− u˙(t)∈ A (u (t))+ ε (t) u (t) where A is a maximal
monotone operator on a Hilbert space and the parameter function ε (t) tends to 0 as t→∞ …

This paper is concerned with the study of a class of prox-penalization methods for solving
variational inequalities of the form Ax+N_C(x)\ni0, where H is a real Hilbert space …

The purpose of this paper is to study the dynamical behavior of the sequence produced by a
Forward–Backward algorithm, involving two random maximal monotone operators and a …

In this paper we study numerical approximations of the evolution problem for the nonlocal p-
Laplacian with homogeneous Neumann boundary conditions. First, we derive a bound on …

In this paper we introduce a notion of asymptotic almost-equivalence of two evolution
systems and provide simple tests that guarantee that two evolution systems have the same …

In this paper we study continuum limits of the discretized p-Laplacian evolution problem on
sparse graphs with homogeneous Neumann boundary conditions. This goes far beyond …

We study the asymptotic behavior of almost-orbits of evolution systems in Banach spaces
without any continuity assumptions on either the space or the time dependence. We …