Abstract: Shape-memory alloys are so-called smart, active materials with a fancy thermodynamical response based on temperature-dependent crystallographical configurations of single-crystals or particular grains in polycrystals. This typically develop various complicated microstructures and gives rise to a multiscale character of the problem. This is difficult task both for mathematical modeling and analysis as well for computational implementation and computational simulation of laboratory experiments. Models developed in particular in Prague during past decades will briefly be presented, together with computational isothermal simulations of NiMnGa or CuAlNi or NiTi single crystals. Selected preprints available at: http://www.karlin.mff.cuni.cz/~roubicek/multimat.htm