********************************************************************* SEMINARI DI PROBABILITA' E STATISTICA MATEMATICA DIPARTIMENTO DI MATEMATICA "G. PEANO" UNIVERSITA' DEGLI STUDI DI TORINO ********************************************************************* Martedì 6 dicembre alle ore 12:00 in aula C presso il Dipartimento di Matematica "G. Peano" dell'Università degli Studi di Torino, Via Carlo Alberto 10, Il Prof. SAMUEL HERRMANN (Université de Bourgogne) terrà un seminario dal titolo Initial-Boundary Value Problem for the heat equation - A stochastic algorithm Abstract: The Initial-Boundary Value Problem for the heat equation is solved using a new algorithm based on a random walk on heat balls. Even if it represents a sophisticated generalisation of the Walk on Spheres (WoS) algorithm introduced to solve the Dirichlet problem for Laplace's equation, its implementation is rather easy. The definition of the random walk is based on a new mean value formula for the heat equation. The convergence results and different numerical examples permit to emphasize the efficiency and accuracy of the algorithm. Tutti gli interessati sono invitati a partecipare. -- Dr. Cristina Zucca Department of Mathematics University of Torino Via Carlo Alberto 10 10123 Torino, Italy tel: +39-011-6702850 fax: +39-011-6702878