DocumentCode
1744990
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
Volume
3
fYear
2001
fDate
6-9 May 2001
Firstpage
473
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.921350
Filename
921350
Link To Document