Synthesis and design of passive Runge-Kutta methods

被引:7
作者
Fränken, D [1 ]
Ochs, K [1 ]
机构
[1] Univ Gesamthsch Paderborn, Dept Elect Engn & Informat Technol Commun Theory, D-33095 Paderborn, Germany
关键词
passive integration; Runge-Kutta methods; wave digital structures;
D O I
10.1078/1434-8411-54100062
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Recently, the concept of passive RUNGE-KUTTA methods for numerical integration has been presented. With the fundamental theory thus provided, the goal of this paper is to cover some of the aspects relevant for an actual implementation of the methods derived. For this, procedures for the synthesis of corresponding wave flow diagrams are developed. Some design examples for PDIRK methods are given. Finally, a simulation example is presented in order to verify the functionality of the methods derived.
引用
收藏
页码:417 / 425
页数:9
相关论文
共 18 条
[1]   Pseudo-symplectic Runge-Kutta methods [J].
Aubry, A ;
Chartier, P .
BIT, 1998, 38 (03) :439-461
[2]  
Belevitch V., 1968, Classical Network Theory
[3]  
Butcher J. C., 1987, The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods
[4]  
Dahlquist G, 1963, BIT, V3, P27, DOI DOI 10.1007/BF01963532
[5]   Error analysis of the symplectic Lanczos method for the symplectic eigenvalue problem [J].
Fassbender, H .
BIT NUMERICAL MATHEMATICS, 2000, 40 (03) :471-496
[6]   SIMULATION OF NONLINEAR CIRCUITS WITH PERIOD-DOUBLING AND CHAOTIC BEHAVIOR BY WAVE DIGITAL-FILTER PRINCIPLES [J].
FELDERHOFF, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (07) :485-490
[7]   WAVE DIGITAL-FILTERS - THEORY AND PRACTICE [J].
FETTWEIS, A .
PROCEEDINGS OF THE IEEE, 1986, 74 (02) :270-327
[8]  
FISCHER HD, 1984, NTZ ARCH, V6, P37
[9]  
FRANKEN D, 2000, P IEEE INT S CIRC SY, V1, P535
[10]  
GROBNER W, 1949, MODERNE ALGENRAISCHE