A new approach to error estimation for general linear methods

Numerische Mathematik

Volumn 95, Issue 3, 2003, Pages 487-502

  Butcher, J C ^a   Jackiewicz, Z ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345060035     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-002-0452-7     Document Type: Article

References (9)

1. Butcher, J.C., Chartier, P., Jackiewicz, Z.: Nordsieck representation of DIMSlMs, Numerical Algorithms 16, 209-230 (1997)
2. Butcher, J.C., Chartier, P., Jackiewicz, Z.: Experiments with a variable-order type 1 DIMSIM code, Numerical Algorithms 22, 237-261 (1999)
3. Butcher, J.C., Jackiewicz, Z.: Implementation of diagonally implicit multistage integration methods for ordinary differential equations, SIAM J. Numer. Anal. 34, 2119-2141 (1997)
4. Butcher, J.C., Jackiewicz, Z.: A reliable error estimation for DIMSIMs, BIT 41, 656-665 (2001)
5. Butcher, J.C., Jackiewicz, Z.: Error estimation for Nordsieck methods, to appear in Numerical Algorithms
6. Guglielmi, N., Zennaro, M.: On the asymptotic properties of a family of matrices, Linear Algebra Appl. 322, 169-192 (2001)
7. Guglielmi, N., Zennaro, M.: On the zero-stability of variable stepsize multistep methods: the spectral radius approach, Numer. Math. 88, 445-458 (2001)
8. Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin, Heidelberg, New York, 1996
9. Lambert, J.D.: Computational Methods in Ordinary Differential Equations, John Wiley & Sons, Chichester, New York, 1973