Everyone recognizes the mathematic simulation as a powerful research tool, but only few in number have vigour to master its complicated equations and methods. Unlike many manuals, this monograph contains a detailed description of advanced stable algorithms, which adequacy is strictly proved. Algorithm SAMPLE is able to exclude the pressure-correction equation out of the mathematic model. A new configurational parameter in Van Driest's exponential factor ascertains values of Prandtl's mixing length near a wall. An easy differential algorithm SMART was elaborated for radiative transfer in...