“…This approach has been studied in detail by various effective tools of mathematical physics and was applied on a large scale in various engineering and fundamental research fields. [1][2][3] Despite advanced applications related to detailed analysis of stability properties of stationary thermodynamic states by variational principles, [4,5] it has not been translated completely to numerical mathematics. Nevertheless, there were illustrative works [6] indicating further new and valuable numerical methods for modeling the transport processes.…”