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John C. Butcher
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- affiliation: University of Auckland, Department of Mathematics
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2020 – today
- 2024
- [i3]John C. Butcher, Taketomo Mitsui, Yuto Miyatake, Shun Sato:
On the B-series composition theorem. CoRR abs/2409.08533 (2024) - 2022
- [j52]John C. Butcher
:
A New Solution to a Cubic Diophantine Equation. Axioms 11(5): 184 (2022) - [j51]John C. Butcher, Helmut Podhaisky
Isomeric trees and the order of Runge-Kutta methods. J. Comput. Appl. Math. 415: 114480 (2022) - [i2]Shun Sato, Yuto Miyatake, John C. Butcher:
High-order linearly implicit schemes conserving quadratic invariants. CoRR abs/2203.00944 (2022) - 2021
- [i1]John C. Butcher, Helmut Podhaisky:
Isomeric trees and the order of Runge-Kutta methods. CoRR abs/2112.01608 (2021)
2010 – 2019
- 2019
- [j50]John C. Butcher
Trees and B-series. Numer. Algorithms 81(4): 1311-1325 (2019) - [j49]Saghir Ahmad, John C. Butcher, Winston L. Sweatman:
Variable order and stepsize in general linear methods. Numer. Algorithms 81(4): 1403-1421 (2019) - 2018
- [j48]John C. Butcher:
Trees, Stumps, and Applications. Axioms 7(3): 52 (2018) - 2016
- [j47]Yuto Miyatake
A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems. SIAM J. Numer. Anal. 54(3): 1993-2013 (2016) - 2015
- [j46]John C. Butcher:
The cohesiveness of G-symplectic methods. Numer. Algorithms 70(3): 607-624 (2015) - 2014
- [j45]John C. Butcher, Gulshad Imran:
Symplectic effective order methods. Numer. Algorithms 65(3): 499-517 (2014) - [j44]John C. Butcher, Yousaf Habib
The Control of Parasitism in G-symplectic Methods. SIAM J. Numer. Anal. 52(5): 2440-2465 (2014) - 2013
- [j43]John C. Butcher, Pavla Sehnalová
Predictor-corrector Obreshkov pairs. Computing 95(5): 355-371 (2013) - 2012
- [j42]John C. Butcher:
Runge-Kutta methods and Banach algebras. J. Comput. Appl. Math. 236(16): 3931-3936 (2012) - 2011
- [j41]John C. Butcher, Robert M. Corless
Polynomial algebra for Birkhoff interpolants. Numer. Algorithms 56(3): 319-347 (2011) - 2010
- [j40]John C. Butcher, Zdzislaw Jackiewicz
Preface. Numer. Algorithms 53(2-3): 149-151 (2010) - [j39]John C. Butcher:
Trees and numerical methods for ordinary differential equations. Numer. Algorithms 53(2-3): 153-170 (2010)
2000 – 2009
- 2009
- [j38]John C. Butcher:
General linear methods for ordinary differential equations. Math. Comput. Simul. 79(6): 1834-1845 (2009) - [j37]John C. Butcher, L. L. Hewitt:
The existence of symplectic general linear methods. Numer. Algorithms 51(1): 77-84 (2009) - [p1]John C. Butcher:
Numerical methods for ordinary differential equations: early days. The Birth of Numerical Analysis 2009: 35-44 - 2007
- [j36]K. T. Vu, John C. Butcher, J. Carminati:
Similarity solutions of partial differential equations using DESOLV. Comput. Phys. Commun. 176(11-12): 682-693 (2007) - [j35]John C. Butcher, Zdzislaw Jackiewicz
Error propagation of general linear methods for ordinary differential equations. J. Complex. 23(4-6): 560-580 (2007) - [j34]John C. Butcher:
Runge-Kutta methods. Scholarpedia 2(9): 3147 (2007) - 2005
- [j33]John C. Butcher:
High Order A-stable Numerical Methods for Stiff Problems. J. Sci. Comput. 25(1-2): 51-66 (2005) - [j32]John C. Butcher, Gholamreza Hojjati
Second derivative methods with RK stability. Numer. Algorithms 40(4): 415-429 (2005) - 2004
- [j31]John C. Butcher, Zdzislaw Jackiewicz
Construction of General Linear Methods with Runge-Kutta Stability Properties. Numer. Algorithms 36(1): 53-72 (2004) - 2003
- [j30]John C. Butcher, Nicolette Moir:
Experiments with a New Fifth Order Method. Numer. Algorithms 33(1-4): 137-151 (2003) - [j29]John C. Butcher, Zdzislaw Jackiewicz
A new approach to error estimation for general linear methods. Numerische Mathematik 95(3): 487-502 (2003) - 2002
- [j28]John C. Butcher:
Preface. Numer. Algorithms 31(1-4): 1-3 (2002) - [j27]John C. Butcher:
The A-Stability of Methods with Padé and Generalized Padé Stability Functions. Numer. Algorithms 31(1-4): 47-58 (2002) - [j26]John C. Butcher, A. D. Heard:
Stability of Numerical Methods for Ordinary Differential Equations. Numer. Algorithms 31(1-4): 59-73 (2002) - [j25]John C. Butcher, Zdzislaw Jackiewicz
Error Estimation for Nordsieck Methods. Numer. Algorithms 31(1-4): 75-85 (2002) - [j24]John C. Butcher, A. E. O'Sullivan:
Nordsieck Methods with an Off-Step Point. Numer. Algorithms 31(1-4): 87-101 (2002) - [j23]John C. Butcher:
Software Issues for Ordinary Differential Equations. Numer. Algorithms 31(1-4): 401-418 (2002) - 2001
- [j22]John C. Butcher:
The McNabb Symposium, 7-8 February 2000, Auckland, New Zealand. Adv. Decis. Sci. 5(2): 61-63 (2001) - [j21]John C. Butcher, T. M. H. Chan:
Variable stepsize schemes for effective order methods and enhanced order composition methods. Numer. Algorithms 26(2): 131-150 (2001) - [j20]John C. Butcher, David Jen Lung Chen:
On the implementation of ESIRK methods for stiff IVPs. Numer. Algorithms 26(3): 201-218 (2001) - 2000
- [j19]John C. Butcher:
The McNabb symposium 7-8 February 2000 Auckland, New Zealand. Adv. Decis. Sci. 4(2): 99-101 (2000)
1990 – 1999
- 1999
- [j18]John C. Butcher, Philippe Chartier:
The effective order of singly-implicit Runge-Kutta methods. Numer. Algorithms 20(4): 269-284 (1999) - [j17]John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz:
Experiments with a variable-order type 1 DIMSIM code. Numer. Algorithms 22(3-4): 237-261 (1999) - 1998
- [j16]John C. Butcher, Robert P. K. Chan:
Efficient Runge-Kutta integrators for index-2 differential algebraic equations. Math. Comput. 67(223): 1001-1021 (1998) - [j15]John C. Butcher, M. T. Diamantakis:
DESIRE: diagonally extended singly implicit Runge-Kutta effective order methods. Numer. Algorithms 17(1-2): 121-145 (1998) - [j14]John C. Butcher:
ARK methods up to order five. Numer. Algorithms 17(3-4): 193-221 (1998) - 1997
- [j13]John C. Butcher:
Order and stability of parallel methods for stiff problems. Adv. Comput. Math. 7(1-2): 79-96 (1997) - [j12]John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz:
Nordsieck representation of DIMSIMs. Numer. Algorithms 16(2): 209-230 (1997) - 1996
- [j11]John C. Butcher:
Orthogonal polynomials, Padé approximations and A-stability. Numer. Algorithms 11(1): 71-78 (1996) - [j10]John C. Butcher, Jeff R. Cash, M. T. Diamantakis:
DESI Methods for Stiff Initial-Value Problems. ACM Trans. Math. Softw. 22(4): 401-422 (1996) - 1994
- [j9]John C. Butcher:
Some orbital test problems. Computing 53(1): 75-94 (1994) - 1992
- [j8]John C. Butcher:
Difference Equations from Differential Equations (W. J. Lick). SIAM Rev. 34(1): 140 (1992) - 1990
- [j7]John Charles Butcher:
Order, stepsize and stiffness switching. Computing 44(3): 209-220 (1990)
1980 – 1989
- 1989
- [j6]John C. Butcher:
Theory of Difference Equations: Numerical Methods and Applications (V. Lakshmikantham and D. Trigiante). SIAM Rev. 31(4): 689-690 (1989) - 1988
- [j5]John C. Butcher:
Towards efficient implementation of singly-implicit methods. ACM Trans. Math. Softw. 14(1): 68-75 (1988)
1970 – 1979
- 1979
- [j4]John C. Butcher:
A Transformed implicit Runge-Kutta Method. J. ACM 26(4): 731-738 (1979)
1960 – 1969
- 1967
- [j3]John C. Butcher:
A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages. J. ACM 14(1): 84-99 (1967) - 1965
- [j2]John C. Butcher:
A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations. J. ACM 12(1): 124-135 (1965) - 1961
- [j1]John C. Butcher:
Random Sampling from the Normal Distribution. Comput. J. 3(4): 251-253 (1961)
Coauthor Index
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