A new higher order effective P-C methods for stiff systems

Mathematics and Computers in Simulation

Volumn 47, Issue 6, 1998, Pages 541-552

  Ismail, Gamal A F ^a   Ibrahim, Iman H ^a  

^a Ain Shams University   (Egypt)

Author keywords

A( ) stable; A0 stable; Hurwirtz polynomial; L( ) stable; P C scheme; Stiff systems

Indexed keywords

EID: 0347180399     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(98)00136-0     Document Type: Article

References (6)

1. L.G. Birta, O. Abou-Rabia, Parallel block predictor corrector method for ODEs, IEEE Trans. Comput., C-36(1987)299-311.
2. J.R. Cash, On the integration of stiff system of ODEs using extended BDF, Numer. Math. 34 (1980) 235-246.
3. R.J. Duffin, Algorithms for classical stability problems, SIAM Rev. 11(2) (1969) 196-213.
4. I.H. Ibrahim, Numerical treatment of stiff differential equations, Ph.D. Thesis, Ain Shams University, University College of Women, Egypt, 1997.
5. J.D. Lambert, Numerical Methods for Ordinary Differential Systems: The Initial Value Problem, Wiley, New York, 1991.
6. L.F. Shampine, H.A. Watts, Block implicit one-step methods, Math. Comput. 23 (1969) 731-740.