The reverse flow reactor (RFR) is an important member of the class of unsteady state reactors. The imposed flow-reversal induces characteristic dynamics during the course of a switching cycle. High temperature catalytic reactions exhibit a complex behavior since the high temperature level modifies reaction yield as well as the selectivity and opens up additional reaction pathways such as homogenous reactions. The combination of a reverse flow reactor with a high temperature catalysis provides an interesting system to investigate in. The chemical-thermal coupling-mechanisms in the high temperature domain are still poorly understood and e cient modeling as well as simulation specifically of the periodicity is by no means standard procedure. The investigation of both the dynamic behavior and the cyclic steady state display a promising way of obtaining insights into the reaction on a microscopic scale from macroscopic observation. The decomposition of N2O in a reverse-flow-reactor is considered as an example. Appropriate mathematical algorithms for e ciently treating the equation, parameter studies and an interesting analogy to a loop reactor with parallel reactions are presented. The algorithms used are qualitatively superior to those previously published to calculate cyclic steady states.