A method of characteristics for solving multirate partial differential equations in radio frequency application

Authors:
R. Pulch;M. Günther
Affiliations:
Universitdt Karlsruhe (TH), Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Engesserstr. 6, D-76128 Karlsruhe, Germany;Universitdt Karlsruhe (TH), Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Engesserstr. 6, D-76128 Karlsruhe, Germany
Venue:
Applied Numerical Mathematics
Year:
2002

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Abstract

In communication electronics, radio frequency applications are characterised by widely separated time scales. This behaviour increases both computation costs and problems during numerical simulation. A new signal model that transforms the ODE into a PDE model, can serve as a basis for more efficient numerical methods. From one point of view, it can be regarded as a multirate scheme applied to the underlying ODE. Based on an analysis of this model, we present a method of characteristics to solve the PDE system with periodic boundary conditions. This technique exploits the special form of information transport in the given system.