The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs)

Journal of the Franklin Institute

Volumn 342, Issue 1, 2005, Pages 1-6

  Çelik, Ercan ^a   Bayram, Mustafa ^a  

^a ATATÜRK UNIVERSITY   (Turkey)

Author keywords

Differential algebraic equations; Pad approximations; Physical model

Indexed keywords

APPROXIMATION THEORY; COMPUTER AIDED ANALYSIS; COMPUTER SIMULATION; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMERICAL METHODS; PROBLEM SOLVING; REAL TIME SYSTEMS; RUNGE KUTTA METHODS; VECTORS;

DIFFERENTIAL-ALGEBRAIC EQUATIONS (DAE); PADÉ APPROXIMATIONS; PHYSICAL MODEL; REAL-TIME SIMULATION;

DIFFERENTIAL EQUATIONS;

EID: 10044230193     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2004.07.004     Document Type: Article

References (12)

1. K.E. Brenan, S.L. Campbell, L.R. Petzold, Numerical Solution of Initial Value Problems in Differential Algebraic Equations, Elsevier, New York, 1989.
2. E. Hairer, S.P. Norsett, G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer, New York, 1992.
3. L.R. Petzold, Numerical solution of differential-algebraic equations, Adv. Numer. Anal. 4 (1995).
4. U.M. Ascher, On symmetric schemes and differential-algebraic equations, SIAM J. Sci. Stat. Comput. 10 (1989) 937-949.
5. C.W. Gear, L.R. Petzold, ODE systems for the solution of differential-algebraic systems, SIAM J. Numer. Anal. 21 (1984) 716-728.
6. U.M. Ascher, L.R. Petzold, Projected implicit Runge-Kutta methods for differential-algebraic equations, SIAM J. Numer. Anal. 28 (1991) 1097-1120.
7. U.M. Ascher, P. Lin, Sequential regularization methods for higher index differential-algebraic equations with constant singularities: the linear index-2 case, SIAM J. Numer. Anal. 33 (1996) 1921-1940.
8. U.M. Ascher, P. Lin, Sequential regularization methods for non-linear higher index differentialalgebraic equations, SIAM J. Sci. Comput. 18 (1997) 160-181.
9. S.L. Campbell, A computational method for general higher index singular systems of differential equations, IMACS Trans. Sci. Comput. 89 (1989) 555-560.
10. S.L. Campbell, E. Moore, Y. Zhong, Utilization of automatic differentiation in control algorithms, IEEE Trans. Automat. Control. 39 (1994) 1047-1052.
11. E. Çelik, E. Karaduman, M. Bayram, A numerical method to solve chemical differential-algebraic equations, Int. J. Quantum Chem. 89 (2002) 447-451.
12. E. Çelik, M. Bayram, On the numerical solution of differential-algebraic equation by Padé series, Appl. Math. Comput. 137 (2003) 151-160.