The A-stability of methods with Padé and generalized Padé stability functions

Numerical Algorithms

Volumn 31, Issue 1-4, 2002, Pages 47-58

  Butcher, J C ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

A stability; Generalized Pad approximations; Order arrows; Order stars; Pad approximations

Indexed keywords

EID: 0036441568     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021155922184     Document Type: Conference Paper

References (5)

1. O. Axelsson, A class of A-stable methods, BIT 9 (1969) 185-199.
2. J.C. Butcher and F.H. Chipman, Generalized Padé approximations to the exponential function, BIT 32 (1992) 118-130.
3. B.L. Ehle, A-stable methods and Padé approximations to the exponential, SIAM J. Math. Anal. 4 (1973) 671-680.
4. G. Wanner, Order stars, unpublished manuscript presented at The SciCADE Conference, Grado, Italy, 1997.
5. G. Wanner, E. Hairer and S.P. Nørsett, Order stars and stability theorems, BIT 18 (1978) 475-489.