N2 - The paper presents a description of used methods and exemplary mathematical models which are classified into theoretical-empirical models of thermal processes. Such models encompass equations resulting from the laws of physics and additional empirical functions describing processes for which analytical models are complex and difficult to develop. The principle of developing, advantages and disadvantages of presented models as well as quality prediction assessment were presented. Mathematical models of a steam boiler, a steam turbine as well as a heat recovery steam generator were described. Exemplary calculation results were presented and compared with measurements. L1 - http://czasopisma.pan.pl/Content/109072/PDF/08_paper.pdf L2 - http://czasopisma.pan.pl/Content/109072 PY - 2018 IS - No 3 EP - 127 KW - mathematical model KW - empirical functions KW - neural modeling KW - regression modeling A1 - Rusinowski, Henryk A1 - Plis, Marcin PB - The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences VL - vol. 39 DA - 2018.10.10 T1 - Mathematical modelling of thermal processes by the use of regression and neural models SP - 111 UR - http://czasopisma.pan.pl/dlibra/publication/edition/109072 T2 - Archives of Thermodynamics