In (Bernier in Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. arXiv:1912.13219 , (2019)), some exact splittings are proposed equations including, example, transport equations, Fokker–Planck and Schrödinger type with an angular momentum rotation term. this work, these used combined pseudo-spectral space. High accuracy efficiency of illustrated...

A mathematical structure is developed with the aim of analysing the time evolution of the quality of a composite system such as a medical service inside an hospital. The approach belongs to the so-called Generalized Kinetic Theory, and consists of a set of balanced statistical equations on the probability distribution functions of the system populations over a state variable that represents the...

A new conservative discrete ordinate method for nonlinear model kinetic equations is proposed. The conservation property with respect to the collision integral is achieved by satisfying at the discrete level approximation conditions used in deriving the model collision integrals. Additionally to the conservation property, the method ensures the correct approximation of the heat uxes. Numerical ...

in this study simulation and optimization of an industrial acetylene hydrogenation reactor was studied. three well known kinetic models were used for a nearly similar catalyst to predict the industrial data. due to the complexity of the reactions, none of the offered kinetic models could be considered as an exact kinetic model and it is necessary to determine the kinetic parameters. one of the ...