Computer-aided simulation of high-dimensional event-continuous systems

Abstract

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.