John C. Butcher

According to our database, John C. Butcher authored at least 54 papers between 1961 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2024

On the B-series composition theorem.

John C. Butcher, Taketomo Mitsui, Yuto Miyatake, Shun Sato

CoRR, 2024

2022

Isomeric trees and the order of Runge-Kutta methods.

John C. Butcher, Helmut Podhaisky

J. Comput. Appl. Math., 2022

High-order linearly implicit schemes conserving quadratic invariants.

Shun Sato, Yuto Miyatake, John C. Butcher

CoRR, 2022

A New Solution to a Cubic Diophantine Equation.

John C. Butcher

Axioms, 2022

2019

Trees and B-series.

John C. Butcher

Numer. Algorithms, 2019

Variable order and stepsize in general linear methods.

Saghir Ahmad, John C. Butcher, Winston L. Sweatman

Numer. Algorithms, 2019

2018

Trees, Stumps, and Applications.

John C. Butcher

Axioms, 2018

2016

A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems.

Yuto Miyatake, John C. Butcher

SIAM J. Numer. Anal., 2016

2015

The cohesiveness of G-symplectic methods.

John C. Butcher

Numer. Algorithms, 2015

2014

The Control of Parasitism in G-symplectic Methods.

John C. Butcher, Yousaf Habib, Adrian T. Hill, Terence J. T. Norton

SIAM J. Numer. Anal., 2014

Symplectic effective order methods.

John C. Butcher, Gulshad Imran

Numer. Algorithms, 2014

2013

Predictor-corrector Obreshkov pairs.

John C. Butcher, Pavla Sehnalová

Computing, 2013

2012

Runge-Kutta methods and Banach algebras.

John C. Butcher

J. Comput. Appl. Math., 2012

2011

Polynomial algebra for Birkhoff interpolants.

John C. Butcher, Robert M. Corless, Laureano González-Vega, Azar Shakoori

Numer. Algorithms, 2011

2010

Preface.

John C. Butcher, Zdzislaw Jackiewicz, Helmut Podhaisky, Rüdiger Weiner

Numer. Algorithms, 2010

Trees and numerical methods for ordinary differential equations.

John C. Butcher

Numer. Algorithms, 2010

2009

The existence of symplectic general linear methods.

John C. Butcher, L. L. Hewitt

Numer. Algorithms, 2009

General linear methods for ordinary differential equations.

John C. Butcher

Math. Comput. Simul., 2009

Numerical methods for ordinary differential equations: early days.

John C. Butcher

Proceedings of the Birth of Numerical Analysis, 2009

2007

Runge-Kutta methods.

John C. Butcher

Scholarpedia, 2007

Error propagation of general linear methods for ordinary differential equations.

John C. Butcher, Zdzislaw Jackiewicz, W. M. Wright

J. Complex., 2007

Similarity solutions of partial differential equations using DESOLV.

K. T. Vu, John C. Butcher, J. Carminati

Comput. Phys. Commun., 2007

2005

Second derivative methods with RK stability.

John C. Butcher, Gholamreza Hojjati

Numer. Algorithms, 2005

High Order A-stable Numerical Methods for Stiff Problems.

John C. Butcher

J. Sci. Comput., 2005

2004

Construction of General Linear Methods with Runge-Kutta Stability Properties.

John C. Butcher, Zdzislaw Jackiewicz

Numer. Algorithms, 2004

2003

A new approach to error estimation for general linear methods.

John C. Butcher, Zdzislaw Jackiewicz

Numerische Mathematik, 2003

Experiments with a New Fifth Order Method.

John C. Butcher, Nicolette Moir

Numer. Algorithms, 2003

2002

Nordsieck Methods with an Off-Step Point.

John C. Butcher, A. E. O'Sullivan

Numer. Algorithms, 2002

Error Estimation for Nordsieck Methods.

John C. Butcher, Zdzislaw Jackiewicz

Numer. Algorithms, 2002

Stability of Numerical Methods for Ordinary Differential Equations.

John C. Butcher, A. D. Heard

Numer. Algorithms, 2002

Software Issues for Ordinary Differential Equations.

John C. Butcher

Numer. Algorithms, 2002

The A-Stability of Methods with Padé and Generalized Padé Stability Functions.

John C. Butcher

Numer. Algorithms, 2002

Preface.

John C. Butcher

Numer. Algorithms, 2002

2001

On the implementation of ESIRK methods for stiff IVPs.

John C. Butcher, David Jen Lung Chen

Numer. Algorithms, 2001

Variable stepsize schemes for effective order methods and enhanced order composition methods.

John C. Butcher, T. M. H. Chan

Numer. Algorithms, 2001

2000

The McNabb symposium 7-8 February 2000 Auckland, New Zealand.

John C. Butcher

Adv. Decis. Sci., 2000

1999

Experiments with a variable-order type 1 DIMSIM code.

John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz

Numer. Algorithms, 1999

The effective order of singly-implicit Runge-Kutta methods.

John C. Butcher, Philippe Chartier

Numer. Algorithms, 1999

1998

DESIRE: diagonally extended singly implicit Runge-Kutta effective order methods.

John C. Butcher, M. T. Diamantakis

Numer. Algorithms, 1998

ARK methods up to order five.

John C. Butcher

Numer. Algorithms, 1998

Efficient Runge-Kutta integrators for index-2 differential algebraic equations.

John C. Butcher, Robert P. K. Chan

Math. Comput., 1998

1997

Nordsieck representation of DIMSIMs.

John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz

Numer. Algorithms, 1997

Order and stability of parallel methods for stiff problems.

John C. Butcher

Adv. Comput. Math., 1997

1996

DESI Methods for Stiff Initial-Value Problems.

John C. Butcher, Jeff R. Cash, M. T. Diamantakis

ACM Trans. Math. Softw., 1996

Orthogonal polynomials, Padé approximations and A-stability.

John C. Butcher

Numer. Algorithms, 1996

1994

Some orbital test problems.

John C. Butcher

Computing, 1994

1992

Difference Equations from Differential Equations (W. J. Lick).

John C. Butcher

SIAM Rev., 1992

1990

Order, stepsize and stiffness switching.

John Charles Butcher

Computing, 1990

1989

Theory of Difference Equations: Numerical Methods and Applications (V. Lakshmikantham and D. Trigiante).

John C. Butcher

SIAM Rev., 1989

1988

Towards efficient implementation of singly-implicit methods.

John C. Butcher

ACM Trans. Math. Softw., 1988

1979

A Transformed implicit Runge-Kutta Method.

John C. Butcher

J. ACM, 1979

1967

A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages.

John C. Butcher

J. ACM, 1967

1965

A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations.

John C. Butcher

J. ACM, 1965

1961

Random Sampling from the Normal Distribution.

John C. Butcher

Comput. J., 1961