“…The numerical analysis of the influence of O 2 (a 1 g ) and O 2 (b 1 Σ + g ) molecules on the ignition of H 2 −O 2 (air) and CH 4 −O 2 (air) mixtures in a supersonic flow behind the inclined shock wave was conducted in [26,28,34,35] on the basis of detailed kinetic mechanisms comprising a large set of reactions with O 2 (a 1 g ) and O 2 (b 1 Σ + g ) molecules. However, in past years, novel kinetic data on reactions with O 2 (a 1 g ) and O 2 (b 1 Σ + g ) molecules in the H 2 −O 2 , CO−H 2 −O 2 , CH 4 −O 2 and C 2 H 6 −O 2 mixtures were obtained on the basis of accurate ab initio calculations (herein and hereafter the term 'accurate ab initio calculations' means the quantum-chemical calculations based on solving of the Schrödinger equation for multi-electron systems at a high level of theory), and novel numerical results on the influence of the activation of oxygen molecules by specially arranged electric discharge were reported.…”