Numerical analysis of unilateral event-continuous processes in comparison with traditional simulation algorithms for discrete-continuous systems is addressed. An original integration step size control algorithm guaranteeing correct detection of unilateral events is given. The algorithm is tested on a typical problem. Simulations are carried out in modern computer environments for modeling and simulation of complex dynamic systems of the mentioned class. A comparative analysis of the application of the software environments to event-continuous processes with unilateral events is presented.
A comparative analysis of efficiency of explicit methods with error and stability control, semi-implicit (m, k)-methods, and implicit methods implemented in the modelling and simulation environment ISMA is presented. The Akzo Nobel Central Research laboratory’s model of a tumour penetrated by antibodies is used as the test problem. The computer model in the LISMA language after applying the method of lines is given. Performance of the numerical integration algorithms is measured for different spatial variable discretization steps.
Chemical processes are identified as hybrid dynamical or event-continuous systems. Features of modeling and simulation of systems of this kind are discussed. A modeling and simulation environment named ISMA is briefly described. A continuous ideally stirred-tank reactor is modeled and simulated in ISMA. The simulation results are given.
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