John C. Butcher

56 papers Journal 55

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Featured Review: Numerical Integration of Differential Equations. SIAM Rev. John C. Butcher, Robert M. Corless
2024	J	`jnl`	On the B-series composition theorem. CoRR John C. Butcher, Taketomo Mitsui, Yuto Miyatake, Shun Sato
2022	J	`jnl`	A New Solution to a Cubic Diophantine Equation. Axioms John C. Butcher
2022	J	`jnl`	High-order linearly implicit schemes conserving quadratic invariants. CoRR Shun Sato, Yuto Miyatake, John C. Butcher
2022	J	`jnl`	Isomeric trees and the order of Runge-Kutta methods. J. Comput. Appl. Math. John C. Butcher, Helmut Podhaisky
2021	J	`jnl`	Isomeric trees and the order of Runge-Kutta methods. CoRR John C. Butcher, Helmut Podhaisky
2019	J	`jnl`	Trees and B-series. Numer. Algorithms John C. Butcher
2019	J	`jnl`	Variable order and stepsize in general linear methods. Numer. Algorithms Saghir Ahmad, John C. Butcher, Winston L. Sweatman
2018	J	`jnl`	Trees, Stumps, and Applications. Axioms John C. Butcher
2016	J	`jnl`	A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems. SIAM J. Numer. Anal. Yuto Miyatake, John C. Butcher
2015	J	`jnl`	The cohesiveness of G-symplectic methods. Numer. Algorithms John C. Butcher
2014	J	`jnl`	Symplectic effective order methods. Numer. Algorithms John C. Butcher, Gulshad Imran
2014	J	`jnl`	The Control of Parasitism in G-symplectic Methods. SIAM J. Numer. Anal. John C. Butcher, Yousaf Habib, Adrian T. Hill, Terence J. T. Norton
2013	J	`jnl`	Predictor-corrector Obreshkov pairs. Computing John C. Butcher, Pavla Sehnalová
2012	J	`jnl`	Runge-Kutta methods and Banach algebras. J. Comput. Appl. Math. John C. Butcher
2011	J	`jnl`	Polynomial algebra for Birkhoff interpolants. Numer. Algorithms John C. Butcher, Robert M. Corless, Laureano González-Vega, Azar Shakoori
2010	J	`jnl`	Preface. Numer. Algorithms John C. Butcher, Zdzislaw Jackiewicz, Helmut Podhaisky, Rüdiger Weiner
2010	J	`jnl`	Trees and numerical methods for ordinary differential equations. Numer. Algorithms John C. Butcher
2009	J	`jnl`	General linear methods for ordinary differential equations. Math. Comput. Simul. John C. Butcher
2009	—	`ch.`	Numerical methods for ordinary differential equations: early days. The Birth of Numerical Analysis John C. Butcher
2009	J	`jnl`	The existence of symplectic general linear methods. Numer. Algorithms John C. Butcher, L. L. Hewitt
2007	J	`jnl`	Error propagation of general linear methods for ordinary differential equations. J. Complex. John C. Butcher, Zdzislaw Jackiewicz, W. M. Wright
2007	J	`jnl`	Runge-Kutta methods. Scholarpedia John C. Butcher
2007	J	`jnl`	Similarity solutions of partial differential equations using DESOLV. Comput. Phys. Commun. K. T. Vu, John C. Butcher, J. Carminati
2005	J	`jnl`	High Order A-stable Numerical Methods for Stiff Problems. J. Sci. Comput. John C. Butcher
2005	J	`jnl`	Second derivative methods with RK stability. Numer. Algorithms John C. Butcher, Gholamreza Hojjati
2004	J	`jnl`	Construction of General Linear Methods with Runge-Kutta Stability Properties. Numer. Algorithms John C. Butcher, Zdzislaw Jackiewicz
2003	J	`jnl`	A new approach to error estimation for general linear methods. Numerische Mathematik John C. Butcher, Zdzislaw Jackiewicz
2003	J	`jnl`	Experiments with a New Fifth Order Method. Numer. Algorithms John C. Butcher, Nicolette Moir
2002	J	`jnl`	Error Estimation for Nordsieck Methods. Numer. Algorithms John C. Butcher, Zdzislaw Jackiewicz
2002	J	`jnl`	Nordsieck Methods with an Off-Step Point. Numer. Algorithms John C. Butcher, A. E. O'Sullivan
2002	J	`jnl`	Preface. Numer. Algorithms John C. Butcher
2002	J	`jnl`	Software Issues for Ordinary Differential Equations. Numer. Algorithms John C. Butcher
2002	J	`jnl`	Stability of Numerical Methods for Ordinary Differential Equations. Numer. Algorithms John C. Butcher, A. D. Heard
2002	J	`jnl`	The A-Stability of Methods with Padé and Generalized Padé Stability Functions. Numer. Algorithms John C. Butcher
2001	J	`jnl`	On the implementation of ESIRK methods for stiff IVPs. Numer. Algorithms John C. Butcher, David Jen Lung Chen
2001	J	`jnl`	The McNabb Symposium, 7-8 February 2000, Auckland, New Zealand. Adv. Decis. Sci. John C. Butcher
2001	J	`jnl`	Variable stepsize schemes for effective order methods and enhanced order composition methods. Numer. Algorithms John C. Butcher, T. M. H. Chan
2000	J	`jnl`	The McNabb symposium 7-8 February 2000 Auckland, New Zealand. Adv. Decis. Sci. John C. Butcher
1999	J	`jnl`	Experiments with a variable-order type 1 DIMSIM code. Numer. Algorithms John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
1999	J	`jnl`	The effective order of singly-implicit Runge-Kutta methods. Numer. Algorithms John C. Butcher, Philippe Chartier
1998	J	`jnl`	ARK methods up to order five. Numer. Algorithms John C. Butcher
1998	J	`jnl`	DESIRE: diagonally extended singly implicit Runge-Kutta effective order methods. Numer. Algorithms John C. Butcher, M. T. Diamantakis
1998	J	`jnl`	Efficient Runge-Kutta integrators for index-2 differential algebraic equations. Math. Comput. John C. Butcher, Robert P. K. Chan
1997	J	`jnl`	Nordsieck representation of DIMSIMs. Numer. Algorithms John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
1997	J	`jnl`	Order and stability of parallel methods for stiff problems. Adv. Comput. Math. John C. Butcher
1996	J	`jnl`	DESI Methods for Stiff Initial-Value Problems. ACM Trans. Math. Softw. John C. Butcher, Jeff R. Cash, M. T. Diamantakis
1996	J	`jnl`	Orthogonal polynomials, Padé approximations and A-stability. Numer. Algorithms John C. Butcher
1994	J	`jnl`	Some orbital test problems. Computing John C. Butcher
1992	J	`jnl`	Difference Equations from Differential Equations (W. J. Lick). SIAM Rev. John C. Butcher
1989	J	`jnl`	Theory of Difference Equations: Numerical Methods and Applications (V. Lakshmikantham and D. Trigiante). SIAM Rev. John C. Butcher
1988	J	`jnl`	Towards efficient implementation of singly-implicit methods. ACM Trans. Math. Softw. John C. Butcher
1979	J	`jnl`	A Transformed implicit Runge-Kutta Method. J. ACM John C. Butcher
1967	J	`jnl`	A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages. J. ACM John C. Butcher
1965	J	`jnl`	A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations. J. ACM John C. Butcher
1961	J	`jnl`	Random Sampling from the Normal Distribution. Comput. J. John C. Butcher