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John Butcher's
full publication list
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"Numerical methods for
ordinary differential equations"
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Mathematical Miniatures and Mathematical Apologies
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Some recent theses by Auckland
students |
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Recent publications
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| 1. |
Thirty years of G-stability, BIT
46 (2006), 479-489.
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| 2. |
General linear methods,
Acta Numerica 15 (2006), 157-256.
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| 3. |
Linear multistep methods as
irreducible general linear methods, with A. T. Hill, BIT 46 (2006), 5-19.
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| 4. |
On error estimation in general linear
methods for stiff ODEs, with H. Podhaisky, Appl. Numer. Math. 56 (2006), 345-357.
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| 5. |
Applications of doubly companion
matrices, with W. M. Wright, Appl. Numer. Math. 56 (2006), 358-373.
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| 6. |
High order A-stable numerical methods
for stiff problems, Journal of Scientific Computing 25 (2005), 51-66.
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| 7. |
ARK Methods for Stiff
Problems, with N. Rattenbury, Applied Numerical Mathematics
53 (2005), 165-181.
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| 8. |
Second
derivative methods with RK stability, with G. Hojjati,
Numerical Algorithms 40 (2005), 415-429.
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| 9. |
Unconditionally Stable General Linear
Methods for Ordinary Differential
Equations, with Z. Jackiewicz, BIT 44 (2004), 557-570.
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| 10. |
Construction of general linear methods with Runge-Kutta stability
properties, with Z. Jackiewicz, Numer. Algorithms 36 (2004), 53-72.
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| 11. |
Some numerical methods for stiff
problems, International Conference
on Computational Methods in Science and Engineering, Kastoria, Greece,
12-16 September (2003), 93-97.
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| 12. |
The construction of practical general linear methods, with W. M. Wright,
BIT 43 (2003), 695-721.
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| 13. |
Numerical Methods for Ordinary Differential Equations, J. Wiley,
Chichester, (2003). |
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Experiments with a new fifth method, with N. Moir, Numer.
Algorithms, 33 (2003), 137-151.
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| 15. |
A new approach to error
estimation for general linear methods, with Z. Jackiewicz, Numer.
Math. 95 (2003), 487-502.
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| 16. |
A transformation relating explicit and diagonally-implicit
general linear methods, with W. M. Wright, Appl. Numer.
Math.,
44 (2003), 313-327.
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| 17. |
Software issues for ordinary differential equations,
Numer. Algorithms, 31 (2002), 401-418.
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| 18. |
A new approach to the algebraic structures for integration methods,
with T. M. H. Chan, BIT, 42 (2002), 477-489.
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| 19. |
Nordsieck methods with an off-step point, with
A. E. O'Sullivan, Numer. Algorithms, 31 (2002),
87-101.
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