\input zb-basic \input zb-ioport \iteman{io-port 05542473} \itemau{Shakenov, Kanat K.} \itemti{Solution of mixed problem for an elliptic equation by Monte Carlo and probability-difference methods.} \itemso{Robnik, Marko (ed.) et al., Let's face chaos through nonlinear dynamics. Proceedings of the 7th international summer school and conference, Maribor, Slovenia, June 29--July 13, 2008. Dedicated to the 65th birthday of Prof. Giulio Casati. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0607-0/pbk). AIP Conference Proceedings 1076, 213-218 (2008).} \itemab Summary: The mixed problem for the equation of elliptic type is considered. It is solved by algorithms ``random walk on spheres'' and ``random walk on lattices'' of Monte Carlo methods. After full digitization of the problem and the equation the approached discrete solution is estimated. \itemrv{~} \itemcc{} \itemut{elliptic equation; mixed problem; probability; Monte Carlo methods; algorithms; random walk on spheres; random walk on lattices} \itemli{} \end