ABSTRACT

High Dimensional Model Representations (HDMR) is a model for multidimensional problems which allows working very efficiently with multidimensional systems. The accuracy of a system’s output approximation obtained by using HDMR expansions is comparable with other approximation methods while the computational effort is much lower. One of the main HDMR applications is the use of a Fully Equivalent Operational Model (FEOM) to replace a part (or the whole) of a system in order to get significant computational speedup. In this work, we develop a FEOM to solve the autonomous systems of ordinary differential equations and apply it to three different mechanisms of chemical reactions used in the 3D model of diffusion/advection of pollutants in the Mexico City region. We compare the speed and accuracy obtained by using the developed FEOM with those of CVODE, a powerful international package widely used to solve stiff systems of ordinary diferential equations.