Abstract. Numerical studies of heat transfer in fire-protective coatings deformable (intumescent) upon heating have been conducted. The optimum combination of the computation-scheme parameters providing stability, convergence and satisfactory accuracy of solutions has been determined. An effect of basic characteristics of materials in real range of their change that made it possible to estimate the degree of influence of properties on the fireprotective efficiency of coatings and the level of warm-up (flame resistance) of structures to be protected with them has been studied. The possibility of using developed models and techniques to estimate and provide the required level of fire safety of polymer-based materials (in particular, elastomers and structures and products on their basis) is considered. The results of estimating the mass rate of evolving gaseous thermal-decomposition products that determine, in a considerable extent, the material combustibility have been presented. The numerical analysis results have demonstrated the potentiality of reducing the combustibility of such materials and increasing limits of their fire resistance at the expense of organizing the intumescence of a material upon heating by means of modification of their initial formulations as well as with the aid of an additional layer made of the intumescent coating compatible with an elastomer.The numerical simulation of heat-mass-transfer processes in polymer-based fire-protective coatings (PFPC) which undergo heating up to temperatures of 1200-1300K typical for fire conditions and are deformed with high intensity upon heating has been performed. The studies have been carried out using a computer program developed by the numerical realization of an original mathematical model that the most fully described in >1, 2@. The factors, which were not before considered, affecting the change dynamics of the forming swollen layer thickness: surface erosion as a result of thermochemical interaction between coke-foam carbon and gas medium, as well as time reduction of the thickness of the intumescent layer at the expense of its shrinkage (settlement) as the quantity of gaseous products of the thermal decomposition of a polymer base of materials passing by transit through the coke-foam layer is reduced, were taken into account.a Corresponding author: a.n