Some general formulae for the stability function of explicit advanced step-point (EAS) methods

Mathematical and Computer Modelling

Volumn 40, Issue 11-12, 2004, Pages 1171-1179

  Psihoyios, G ^a  

^a ANGLIA RUSKIN UNIVERSITY   (United Kingdom)

Author keywords

Adams methods; Advanced step point methods; EAS methods; Nonstiff initial value problems; Stability function

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL MODELS; NUMERICAL METHODS; SYSTEM STABILITY;

COMPUTATIONAL MANIPULATION; EXPLICIT ADVANCED STEP POINT (EAS) METHODS; STABILITY ANALYSIS; STABILITY FUNCTIONS;

FUNCTIONS;

EID: 18044378994     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.01.011     Document Type: Article

References (7)

1. rd Inter. Colloq. on Numerical Analysis 1995 VSP Champaign, IL 43 50
2. J.R. Cash, and [G.-]Y. Psihoyios An efficient class of general linear methods for non-stiff initial value problems E.A. Lipitakis Hermis '94, Volume 2 1995 HMS 813 820
3. L.F. Shampine, and M.K. Gordon Computer Solution of Ordinary Differential Equations: The Initial Value Problem 1975 W.H. Freeman
4. K. Burrage, and J.C. Butcher Nonlinear stability of a general class of differential equation methods BIT 20 1980 185 203
5. J.R. Cash On the integration of stiff systems of ODEs using extended BDF Num. Math. 34 1980 235 246
6. J.R. Cash The integration of stiff IVPs in ODEs using modified extended BDF Computers Math. Applic. 9 5 1983 645 657
7. J.R. Cash, and S. Semnani A modified Adams method for non-stiff and mildly stiff IVPs ACM TOMS 19 1993 63 80