DocumentCode
3057314
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
fYear
1998
fDate
8-10 Mar 1998
Firstpage
27
Lastpage
31
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;
fLanguage
English
Publisher
ieee
Conference_Titel
System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
Conference_Location
Morgantown, WV
ISSN
0094-2898
Print_ISBN
0-7803-4547-9
Type
conf
DOI
10.1109/SSST.1998.660014
Filename
660014
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