DISCRETE SIMULATION OF LINEAR MULTIDIMENSIONAL CONTINUOUS SYSTEMS

This paper presents the theoretical foundations of a new method for th e discrete simulation of multidimensional systems, which are described by linear partial differential equations with constant coefficients. It is based on methods customary in linear systems theory and digital signal processing and uses a frequency-domain representation of the co ntinuous system to be simulated. The selection of appropriate function al transformations for each variable yields an exact treatment of init ial and boundary conditions. The heat-flow equation is treated as an e xample. For this case, a realizing structure for the simulating discre te system is given along with simulation examples.