Czasopismo
2008
|
Vol. 54, No 3
|
377-388
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper presents the parallel method for state equation solving. The general idea of this method is based on the division of the integration interval into sub-intervals, in which the values of state variables are computed in parallel with the use of one of the well-known sequential numerical methods for state equation solving. Computations in particular sub-intervals require knowledge of initial conditions at the beginning of each sub-interval. In the proposed method the initial conditions are determined on the basis of an approximation of the convergence graph by the exponential function.
Czasopismo
Rocznik
Tom
Strony
377-388
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
- Faculty of Electrical Engineering, Białystok Technical University, Wiejska 45D, 15-351 Bialystok, jarekf@pb.edu.pl
Bibliografia
- 1. N. S. Nise: Control Systems Engineering. 4th Edition. John Wiley & Sons, 2003.
- 2. A. Isidori: Nonlinear Control Systems. Springer-Verlag, Berlin Heidelberg New York, 1995.
- 3. K. Burrage: Parallel and Sequential Methods for Ordinary Differential Equations. Clarendon Press, Oxford, 1995.
- 4. C. W. Gear, X. Xuhai: Parallelism Across Time in ODEs. Applied Numerical Mathematics 11, pp. 45-68, 1993.
- 5. C. W. Gear: Massive Parallelism Across Space in ODEs. Applied Numerical Mathematics 11, pp. 27-43, 1993.
- 6. D. Pete : Parallelism in Solving Ordinary Differential Equations. Mathematical Monographs 64, Timisoara University Press, 1998.
- 7. K. Burrage: Parallel Methods for Initial Value Problems. Applied Numerical Mathematics 11, pp. 5-25, 1993.
- 8. J. Forenc: Speculative analysis of transient states in electrical circuits. Doctoral thesis. Politechnika Białostocka, Białystok, 2006 (in Polish).
- 9. J. Forenc: Time Domain Decomposition in Parallel Analysis of Transient States, PARELEC' 2006, International Symposium on Parallel Computing in Electrical Engineering, IEEE Computer Society, Los Alamitos, pp. 295-300, 2006.
- 10. T. Kaczorek: The introduction to the Lie algebra. The Seminary in the Technical University of Białystok, 2003 (not published).
- 11. A. Jordan, J. P. Nowacki: Global Linearization of Non-Linear State Equations. International Journal of Applied Electromagnetics and Mechanics, Vol. 19, Number 4, pp. 637-642, 2004
- 12. A. Jordan, T. Kaczorek, P. Myszkowski: Linearization of nonlinear differential equations. Wydawnictwa Politechniki Białostockiej, Białystok, 2007 (in Polish).
- 13. T. Kaczorek: Application of polynomials and rational matrices in the theory of dynamic systems. Wydawnictwa Politechniki Białostockiej, Białystok, 2004 (in Polish).
- 14. J. Forenc: The Parallel Method for the State Equation Solving. Computer Applications in Electrical Engineering, ed. by R. Nawrowski, Poznań University of Technology, Poznań, pp. 87-96, 2007.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BWAD-0015-0026