Interacting many-body systems are the main subjects ofresearch in theoretical condensed matter physics, and theyare the source of both the interest and the difficulty inthis field. In order to understand the macroscopicproperties of matter in terms of macroscopic knowledge, manyanalytic and approximate methods have been introduced. Thecontributions to this proceedings volume focus on the mostrecent developments of computational approaches in condensedmatter physics. Monte Carlo methods and molecular dynamicssimulations applied to strongly correlated classical andquantum systems such as electron systems, quantum spinsystems, spin glassss, coupled map systems, polymers andother random and comlex systems are reviewed. Comprisingeasy to follow introductions to each field covered and alsomore specialized contributions,this proceedings volumeexplains why computational approaches are necessary and howdifferent fields are related to each other.