Numerical solution of linear differential-algebraic equations

Applied Mathematics and Computation

Volumn 162, Issue 1, 2005, Pages 7-14

  Hosseini, M M ^a  

^a YAZD UNIVERSITY   (Iran)

Author keywords

Differential algebraic equations; Domain decomposition; Index reduction techniques; Pseudospectral method

Indexed keywords

ALGEBRA; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

DIFFERENTIAL-ALGEBRAIC EQUATIONS; DOMAIN DECOMPOSITION; INDEX REDUCTION TECHNIQUES; PSEUDOSPECTRAL METHOD;

LINEAR EQUATIONS;

EID: 10444220964     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.076     Document Type: Article

References (8)

1. U.M. Ascher, P. Lin, Sequential regularization methods for higher index differential-algebraic equations with constraint singularities: the linear index-2 case, SIAM J. Anal. 33 (1996) 1921-1940.
2. E. Babolian, M.M. Hosseini, A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution, Appl. Math. Comput. 132 (2002) 341-351.
3. E. Babolian, M.M. Hosseini, Reducing index, and pseudospectral methods for differential-algebraic equations, Appl. Math. Comput. 140 (2003) 77-90.
4. K.E. Brenan, S.L. Campbell, L.R. Petzold, Numerical solution of initial-value problems in differential-algebraic equations, Elsevier, New York, 1989.
5. S.L. Campbell, A computational method for general higher index singular systems of differential equations, IMACS, Trans. Sci. Comput. 89 (1989) 555-560.
6. C. Canuto, M.Y. Hussaini, A. Quarteroni, A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, 1998.
7. M.M. Hosseini, Reducing index method for differential-algebraic equations with constraint singularities, Appl. Math. Comput., in press.
8. H. Wang, Y. Song, Regularization methods for solving differential-algebraic equations, Appl. Math. Comput. 119 (2001) 283-296.