Title :
Numerical stability properties of passive Runge-Kutta methods
Author :
Fränken, Dietrich ; Ochs, Karlheirnz
Author_Institution :
Dept. of Electr. Eng. & Inf. Technol., Paderborn Univ., Germany
Abstract :
Recently, network-theoretical considerations of numerical integration methods have led to so-called passive Runge-Kutta methods. In this paper, it is shown that these numerical integration methods exhibit a variety of numerical stability properties. For an intuitive understanding, the methods as well as the stability properties and criteria are formulated by means of Kirchhoff networks and the corresponding transfer matrices
Keywords :
Runge-Kutta methods; integration; matrix algebra; nonlinear network analysis; numerical stability; Kirchhoff networks; numerical integration methods; numerical stability properties; passive Runge-Kutta methods; transfer matrices; Circuit stability; Difference equations; Digital filters; Frequency; Impedance; Information technology; Numerical stability; Process design; Stability criteria; Voltage;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921350
