Journal of Applied Mathematics
Volume 2012 (2012), Article ID 528045, 21 pages
Review Article

Radio Frequency Numerical Simulation Techniques Based on Multirate Runge-Kutta Schemes

1School of Technology and Management, Polytechnic Institute of Leiria, Morro do Lena, Alto Vieiro, Apartado 4163, 2411-901 Leiria, Portugal
2Institute of Telecommunications, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal

Received 20 August 2011; Revised 20 October 2011; Accepted 4 November 2011

Academic Editor: Oluwole D. Makinde

Copyright © 2012 Jorge F. Oliveira and José C. Pedro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Electronic circuit simulation, especially for radio frequency (RF) and microwave telecommunications, is being challenged by increasingly complex applications presenting signals of very different nature and evolving on widely separated time scales. In this paper, we will briefly review some recently developed ways to address these challenges, by describing some advanced numerical simulation techniques based on multirate Runge-Kutta schemes, which operate in the one-dimensional time and also within multidimensional frameworks.