
John Butcher's
full publication list



"Numerical methods for
ordinary differential equations"



Mathematical Miniatures and Mathematical Apologies


Some recent theses by Auckland
students 

Recent publications


1. 
Thirty years of Gstability, BIT
46 (2006), 479489.

2. 
General linear methods,
Acta Numerica 15 (2006), 157256.

3. 
Linear multistep methods as
irreducible general linear methods, with A. T. Hill, BIT 46 (2006), 519.

4. 
On error estimation in general linear
methods for stiff ODEs, with H. Podhaisky, Appl. Numer. Math. 56 (2006), 345357.

5. 
Applications of doubly companion
matrices, with W. M. Wright, Appl. Numer. Math. 56 (2006), 358373.

6. 
High order Astable numerical methods
for stiff problems, Journal of Scientific Computing 25 (2005), 5166.

7. 
ARK Methods for Stiff
Problems, with N. Rattenbury, Applied Numerical Mathematics
53 (2005), 165181.

8. 
Second
derivative methods with RK stability, with G. Hojjati,
Numerical Algorithms 40 (2005), 415429.

9. 
Unconditionally Stable General Linear
Methods for Ordinary Differential
Equations, with Z. Jackiewicz, BIT 44 (2004), 557570.

10. 
Construction of general linear methods with RungeKutta stability
properties, with Z. Jackiewicz, Numer. Algorithms 36 (2004), 5372.

11. 
Some numerical methods for stiff
problems, International Conference
on Computational Methods in Science and Engineering, Kastoria, Greece,
1216 September (2003), 9397.

12. 
The construction of practical general linear methods, with W. M. Wright,
BIT 43 (2003), 695721.

13. 
Numerical Methods for Ordinary Differential Equations, J. Wiley,
Chichester, (2003). 
14. 
Experiments with a new fifth method, with N. Moir, Numer.
Algorithms, 33 (2003), 137151.

15. 
A new approach to error
estimation for general linear methods, with Z. Jackiewicz, Numer.
Math. 95 (2003), 487502.

16. 
A transformation relating explicit and diagonallyimplicit
general linear methods, with W. M. Wright, Appl. Numer.
Math.,
44 (2003), 313327.

17. 
Software issues for ordinary differential equations,
Numer. Algorithms, 31 (2002), 401418.

18. 
A new approach to the algebraic structures for integration methods,
with T. M. H. Chan, BIT, 42 (2002), 477489.

19. 
Nordsieck methods with an offstep point, with
A. E. O'Sullivan, Numer. Algorithms, 31 (2002),
87101.




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