John C. Butcher

Publication Activity (10 Years)

Years Active: 1961-2022
Publications (10 Years): 8

Top Topics

Fuzzy Relation Equations

Zernike Moments

Tree Construction

Top Venues

Numer. Algorithms

SIAM J. Numer. Anal.

Publications

John C. Butcher, Helmut Podhaisky
Isomeric trees and the order of Runge-Kutta methods. J. Comput. Appl. Math. 415 (2022)
John C. Butcher
A New Solution to a Cubic Diophantine Equation. Axioms 11 (5) (2022)
Shun Sato, Yuto Miyatake, John C. Butcher
High-order linearly implicit schemes conserving quadratic invariants. CoRR (2022)
John C. Butcher, Helmut Podhaisky
Isomeric trees and the order of Runge-Kutta methods. CoRR (2021)
John C. Butcher
Trees and B-series. Numer. Algorithms 81 (4) (2019)
Saghir Ahmad, John C. Butcher, Winston L. Sweatman
Variable order and stepsize in general linear methods. Numer. Algorithms 81 (4) (2019)
John C. Butcher
Trees, Stumps, and Applications. Axioms 7 (3) (2018)
Yuto Miyatake, John C. Butcher
A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems. SIAM J. Numer. Anal. 54 (3) (2016)
John C. Butcher
The cohesiveness of G-symplectic methods. Numer. Algorithms 70 (3) (2015)
John C. Butcher, Gulshad Imran
Symplectic effective order methods. Numer. Algorithms 65 (3) (2014)
John C. Butcher, Yousaf Habib, Adrian T. Hill, Terence J. T. Norton
The Control of Parasitism in G-symplectic Methods. SIAM J. Numer. Anal. 52 (5) (2014)
John C. Butcher, Pavla Sehnalová
Predictor-corrector Obreshkov pairs. Computing 95 (5) (2013)
John C. Butcher
Runge-Kutta methods and Banach algebras. J. Comput. Appl. Math. 236 (16) (2012)
John C. Butcher, Robert M. Corless, Laureano González-Vega, Azar Shakoori
Polynomial algebra for Birkhoff interpolants. Numer. Algorithms 56 (3) (2011)
John C. Butcher, Zdzislaw Jackiewicz, Helmut Podhaisky, Rüdiger Weiner
Preface. Numer. Algorithms 53 (2-3) (2010)
John C. Butcher
Trees and numerical methods for ordinary differential equations. Numer. Algorithms 53 (2-3) (2010)
John C. Butcher, L. L. Hewitt
The existence of symplectic general linear methods. Numer. Algorithms 51 (1) (2009)
John C. Butcher
General linear methods for ordinary differential equations. Math. Comput. Simul. 79 (6) (2009)
K. T. Vu, John C. Butcher, J. Carminati
Similarity solutions of partial differential equations using DESOLV. Comput. Phys. Commun. 176 (11-12) (2007)
John C. Butcher, Zdzislaw Jackiewicz, W. M. Wright
Error propagation of general linear methods for ordinary differential equations. J. Complex. 23 (4-6) (2007)
John C. Butcher
Runge-Kutta methods. Scholarpedia 2 (9) (2007)
John C. Butcher, Gholamreza Hojjati
Second derivative methods with RK stability. Numer. Algorithms 40 (4) (2005)
John C. Butcher
High Order A-stable Numerical Methods for Stiff Problems. J. Sci. Comput. 25 (1-2) (2005)
John C. Butcher, Zdzislaw Jackiewicz
Construction of General Linear Methods with Runge-Kutta Stability Properties. Numer. Algorithms 36 (1) (2004)
John C. Butcher, Zdzislaw Jackiewicz
A new approach to error estimation for general linear methods. Numerische Mathematik 95 (3) (2003)
John C. Butcher, Nicolette Moir
Experiments with a New Fifth Order Method. Numer. Algorithms 33 (1-4) (2003)
John C. Butcher, A. E. O'Sullivan
Nordsieck Methods with an Off-Step Point. Numer. Algorithms 31 (1-4) (2002)
John C. Butcher, A. D. Heard
Stability of Numerical Methods for Ordinary Differential Equations. Numer. Algorithms 31 (1-4) (2002)
John C. Butcher
The A-Stability of Methods with Padé and Generalized Padé Stability Functions. Numer. Algorithms 31 (1-4) (2002)
John C. Butcher
Preface. Numer. Algorithms 31 (1-4) (2002)
John C. Butcher, Zdzislaw Jackiewicz
Error Estimation for Nordsieck Methods. Numer. Algorithms 31 (1-4) (2002)
John C. Butcher
Software Issues for Ordinary Differential Equations. Numer. Algorithms 31 (1-4) (2002)
John C. Butcher, D. J. L. Chen
On the implementation of ESIRK methods for stiff IVPs. Numer. Algorithms 26 (3) (2001)
John C. Butcher
The McNabb Symposium, 7-8 February 2000, Auckland, New Zealand. Adv. Decis. Sci. 5 (2) (2001)
John C. Butcher, T. M. H. Chan
Variable stepsize schemes for effective order methods and enhanced order composition methods. Numer. Algorithms 26 (2) (2001)
John C. Butcher
The McNabb symposium 7-8 February 2000 Auckland, New Zealand. Adv. Decis. Sci. 4 (2) (2000)
John C. Butcher, Philippe Chartier
The effective order of singly-implicit Runge-Kutta methods. Numer. Algorithms 20 (4) (1999)
John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
Experiments with a variable-order type 1 DIMSIM code. Numer. Algorithms 22 (3-4) (1999)
John C. Butcher
ARK methods up to order five. Numer. Algorithms 17 (3-4) (1998)
John C. Butcher, M. T. Diamantakis
DESIRE: diagonally extended singly implicit Runge-Kutta effective order methods. Numer. Algorithms 17 (1-2) (1998)
John C. Butcher, R. P. K. Chan
Efficient Runge-Kutta integrators for index-2 differential algebraic equations. Math. Comput. 67 (223) (1998)
John C. Butcher
Order and stability of parallel methods for stiff problems. Adv. Comput. Math. 7 (1-2) (1997)
John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
Nordsieck representation of DIMSIMs. Numer. Algorithms 16 (2) (1997)
John C. Butcher, Jeff R. Cash, M. T. Diamantakis
DESI Methods for Stiff Initial-Value Problems. ACM Trans. Math. Softw. 22 (4) (1996)
John C. Butcher
Orthogonal polynomials, Padé approximations and A-stability. Numer. Algorithms 11 (1) (1996)
John C. Butcher
Some orbital test problems. Computing 53 (1) (1994)
John C. Butcher
Difference Equations from Differential Equations (W. J. Lick). SIAM Rev. 34 (1) (1992)
John C. Butcher
Theory of Difference Equations: Numerical Methods and Applications (V. Lakshmikantham and D. Trigiante). SIAM Rev. 31 (4) (1989)
John C. Butcher
Towards efficient implementation of singly-implicit methods. ACM Trans. Math. Softw. 14 (1) (1988)
John C. Butcher
A Transformed implicit Runge-Kutta Method. J. ACM 26 (4) (1979)
John C. Butcher
A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages. J. ACM 14 (1) (1967)
John C. Butcher
A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations. J. ACM 12 (1) (1965)
John C. Butcher
Random Sampling from the Normal Distribution. Comput. J. 3 (4) (1961)