Approximating Runge-Kutta matrices by triangular matrices

BIT Numerical Mathematics

Volumn 37, Issue 2, 1997, Pages 346-354

  Hoffmann, W ^a   De Swart, J J B ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b CWI   (Netherlands)

Author keywords

Matrix analysis; Numerical analysis; Runge Kutta methods

Indexed keywords

EID: 0038925108     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510217     Document Type: Article

References (5)

1. G. J. Cooper and J. C. Butcher, An iteration scheme for implicit Runge-Kutta methods, IMA J. Numer. Anal., 3 (1983), pp. 127-140.
2. G. H. Golub and C. F. van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore and London, 2nd ed., 1989.
3. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-Verlag, 1991.
4. P. J. van der Houwen and B. P. Sommeijer, Iterated Runge-Kutta methods on parallel computers, SIAM J. Sci. Stat. Comput., 12 (1991), pp. 1000-1028.
5. P. J. van der Houwen and J. J. B. de Swart, Triangularly implicit iteration methods for ODE-IVP solvers, SIAM J. Sci. Comput., 18 (1997), pp. 41-55.