Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
CVODE, a stiff/nonstiff ODE solver in C
Computers in Physics
Hybrid high dimensional model representation (HHDMR) on the partitioned data
Journal of Computational and Applied Mathematics
A cellular automaton simulation tool for modelling seismicity in the region of Xanthi
Environmental Modelling & Software
Environmental Modelling & Software
Applications of high dimensionalmodel representations to computer vision
WSEAS Transactions on Mathematics
Applications of high dimensional model representations to computer vision
MAASE'09 Proceedings of the 2nd WSEAS international conference on Multivariate analysis and its application in science and engineering
Applications of flexibly initialized high dimensional model representation in computer vision
SMO'09 Proceedings of the 9th WSEAS international conference on Simulation, modelling and optimization
Environmental Modelling & Software
An approximation method to model multivariate interpolation problems: Indexing HDMR
Mathematical and Computer Modelling: An International Journal
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High dimensional model representation (HDMR) techniques are tools to improve mathematical modeling of physical systems. One of the main HDMR applications is the development and use of a fully equivalent operational model (FEOM) in the modeling of a physical system described by means of a set of ordinary differential equations. 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. We use FEOM to solve the initial-value problem for the stiff systems of ordinary differential equations which describe the chemical reactions' mechanisms used in the three-dimensional model of diffusion/advection of air pollutants. With the use of FEOM we achieved noticeable computational savings. We apply the developed FEOM to two different schemes of chemical reactions and give some general recommendations for the efficient FEOM implementation based on the obtained experience.