Stability analysis of linear multistep methods via polynomial type variation

Journal of Numerical Analysis, Industrial and Applied Mathematics

Volumn 2, Issue 1-2, 2007, Pages 1-9

  Aceto, L ^a   Pandolfi, R ^b   Trigiante, D ^b  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Linear multistep methods; Polynomial type; Stability of numerical methods

Indexed keywords

EID: 82355187401     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. L. Aceto, Properties of the Pascal matrix and their application in the stability problem for the generalized Adams methods, Tech. Report, 11/2002, Department of Mathematics, University of Florence, 1, 2002.
2. L. Aceto, Some applications of the Pascal matrix to the study of numerical methods for differential equations, Atti del XVII Congresso U.M.I. 395-407 (2004).
3. L. Aceto, R. Pandolfi and D. Trigiante, Theoretical analysis of the stability for Extended Trapezoidal Rules (submitted).
4. L. Aceto and D. Trigiante, On the A-stable methods in the GBDF class, Nonlinear Analysis: Real World Applications, 3 9-23 (2002).
5. L. Aceto and D. Trigiante, On the properties of matrices defining some classes of BVMs, Numerische Mathematik, 96 1-16 (2003).
6. L. Brugnano and D. Trigiante: Solving differential problems by multistep initial and boundary value methods. Gordon and Breach Science Publishers, Amsterdam, 1998.
7. P. Henrici: Applied and computational complex analysis. Vol. 1, John Wiley & Sons, New York, 1974.
8. F. Iavernaro, F. Mazzia, GAM code. Available online at: http://www.dm.uniba.it/~mazzia/ode/readme.html