Transfer Function Models for Non Self-Adjoint Multidimensional Systems

Transfer function models for the description of multidimensional physical systems have recently been introduced. They provide an alternative to the conventional representation by partial differential equations. Multidimensional transfer functions are input-output models for physical phenomena with more than one independent variable (e.g. time and space). They allow to treat the effects of initial conditions, boundary conditions, and excitation functions on the resulting output signal separately. Transfer function models are an excellent starting point for the development of discrete-variable representations of physical systems. They offer the following advantages: suitability for computer implementation by iteration free algorithms, stability in the sense of systems theory, and high numerical accuracy without prohibitively small step sizes. Multidimensional transfer function models have already been derived for physical systems with self-adjoint differential operators. This paper provi..