Linear multistep approximation of nonsymmetric rotating systems

Journal of Numerical Analysis, Industrial and Applied Mathematics

Volumn 4, Issue 1-2, 2009, Pages 103-112

  Hill, A T ^a  

^a University of Bath   (United Kingdom)

Author keywords

Linear multistep methods; Nonautonomous; Stability theory

Indexed keywords

EID: 67650686107     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (8)

1. B. Boutelje, Nonlinear stablity and convergence of linear multistep methods, PhD Thesis, Univesity of Bath, 2008.
2. K. Burrage and J.C. Butcher, Stability criteria for implicit Runge-Kutta methods, SIAM J. Numer. Anal. 20, pp. 185{203, (1979).
3. J.C. Butcher, The equivalence of algebraic stability and AN-stability, BIT 27, pp. 510-534, (1987).
4. G. Dahlquist, A special stability problem for linear multistep methods, BIT 3, pp. 27-43, (1963).
5. G. Dahlquist, Error analysis for a class of methods for stir non-linear initial value problems, in Proc. 6th Biennial Dundee Conference 1975, G.A. Watson ed., Berlin: Springer-Verlag, 60-74, 1976.
6. G. Dahlquist, Gastability is equivalent to A-stability, BIT 18, pp. 384-401, (1978).
7. G. Golub and C. van Loan, Matrix Computations, 3rd edn., John Hopkins University Press, Baltimore, 1996.
8. A.T. Hill, Linear multistep instability for nonautonomous symmetric negative definite systems, submitted.