Regularity properties of multistage integration methods

Journal of Computational and Applied Mathematics

Volumn 87, Issue 2, 1997, Pages 285-302

  Jackiewicz, Z ^a   Vermiglio, R ^b   Zennaro, M ^c  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF UDINE   (Italy)

^c UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Asymptotic values; General linear method; Ordinary differential equation; Regularity

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; INTEGRATION;

DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS (DIMSIM); GENERAL LINEAR METHOD; ORDINARY DIFFERENTIAL EQUATIONS;

INTEGRAL EQUATIONS;

EID: 0031378235     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00194-5     Document Type: Article

References (6)

1. J.C. Butcher, Diagonally implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347-363.
2. J.C. Butcher, Z. Jackiewicz, Diagonally implicit general linear methods for ordinary differential equations, BIT 33 (1993) 452-472.
3. K. Dekker, J.G. Verwer, Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations, North-Holland, Amsterdam, 1984.
4. E. Hairer, A. Iserles, J.M. Sanz-Serna, Equilibria of Runge-Kutta methods, Numer. Math. 58 (1990) 243-254.
5. A. Iserles, Stability and dynamics of numerical methods for nonlinear ordinary differential equations, IMA J. Numer. Anal. 10 (1990) 1-30.
6. Z. Jackiewicz, R. Vermiglio, M. Zennaro, Regularity properties of Runge-Kutta methods for ordinary differential equations, Appl. Numer. Math., to appear.