Title :
On stability of implicit numerical methods in nonlinear dynamical systems simulation
Author :
Solodovnik, Eugene V. ; Cokkinides, Geroge J. ; MelioPoulos, A. P Sakis
Author_Institution :
Dept. of Electr. & Comput. Eng., South Carolina Univ., Columbia, SC, USA
Abstract :
This paper examines the numerical stability properties of numerical integration techniques. The paper focuses on trapezoidal integration method and the algebraic companion form. For linear systems, both methods are absolutely numerically stable. For nonlinear systems, several conditions for numerical stability are presented
Keywords :
integration; nonlinear dynamical systems; numerical stability; simulation; algebraic companion form; implicit numerical methods; linear systems; nonlinear dynamical systems simulation; nonlinear systems; numerical integration techniques; numerical stability properties; trapezoidal integration method; Computational modeling; Computer simulation; Heuristic algorithms; Large-scale systems; Linear systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Numerical stability; Time varying systems;
Conference_Titel :
System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
Conference_Location :
Morgantown, WV
Print_ISBN :
0-7803-4547-9
DOI :
10.1109/SSST.1998.660014
