Gal Badishi, Idit Keidar, et al.
IEEE TDSC
This paper is concerned with stability and accuracy of families of linear k-step formulas depending on parameters, with particular emphasis on the numerical solution of stiff ordinary differential equations. An upper bound, p = k, is derived for the order of accuracy of A∞-stable formulas. Three criteria are given for A0-stability. It is shown that (1) for p = k, k arbitrary, A∞-stability implies certain necessary conditions for A0-stability and for strict stability (meaning that the extraneous roots of ρ(ζ) satisfy |ζ| < 1); (2) for p = k = 2, 3, 4, and 5, A∞-stability (for k = 5 together with another constraint) implies strict stability; and (3) for certain one-parameter classes of formulas with p = k = 3, 4, and/or 5, A∞-stability implies A0-stability. © 1975, ACM. All rights reserved.
Gal Badishi, Idit Keidar, et al.
IEEE TDSC
N.K. Ratha, A.K. Jain, et al.
Workshop CAMP 2000
Indranil R. Bardhan, Sugato Bagchi, et al.
JMIS
Robert E. Donovan
INTERSPEECH - Eurospeech 2001