John C. Butcher - researchr alias

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Viewing Publication 1 - 36 from 36

2022

A New Solution to a Cubic Diophantine EquationJohn C. Butcher. axioms, 11(5):184, 2022. [doi]

Isomeric trees and the order of Runge-Kutta methodsJohn C. Butcher, Helmut Podhaisky. jcam, 415:114480, 2022. [doi]

2019

Variable order and stepsize in general linear methodsSaghir Ahmad, John C. Butcher, Winston L. Sweatman. na, 81(4):1403-1421, 2019. [doi]

Trees and B-seriesJohn C. Butcher. na, 81(4):1311-1325, 2019. [doi]

2018

Trees, Stumps, and ApplicationsJohn C. Butcher. axioms, 7(3):52, 2018. [doi]

2016

A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian SystemsYuto Miyatake, John C. Butcher. siamnum, 54(3):1993-2013, 2016. [doi]

2014

Symplectic effective order methodsJohn C. Butcher, Gulshad Imran. na, 65(3):499-517, 2014. [doi]

The Control of Parasitism in G-symplectic MethodsJohn C. Butcher, Yousaf Habib, Adrian T. Hill, Terence J. T. Norton. siamnum, 52(5):2440-2465, 2014. [doi]

2013

Predictor-corrector Obreshkov pairsJohn C. Butcher, Pavla Sehnalová. computing, 95(5):355-371, 2013. [doi]

2011

Polynomial algebra for Birkhoff interpolantsJohn C. Butcher, Robert M. Corless, Laureano González-Vega, Azar Shakoori. na, 56(3):319-347, 2011. [doi]

2010

PrefaceJohn C. Butcher, Zdzislaw Jackiewicz, Helmut Podhaisky, Rüdiger Weiner. na, 53(2-3):149-151, 2010. [doi]

2009

Numerical methods for ordinary differential equations: early daysJohn C. Butcher. In Adhemar Bultheel, Ronald Cools, editors, The Birth of Numerical Analysis. pages 35-44, World Scientific, 2009. [doi]

2007

Runge-Kutta methodsJohn C. Butcher. scholarpedia, 2(9):3147, 2007. [doi]

2004

Construction of General Linear Methods with Runge-Kutta Stability PropertiesJohn C. Butcher, Zdzislaw Jackiewicz. na, 36(1):53-72, 2004. [doi]

2003

Experiments with a New Fifth Order MethodJohn C. Butcher, Nicolette Moir. na, 33(1-4):137-151, 2003. [doi]

A new approach to error estimation for general linear methodsJohn C. Butcher, Zdzislaw Jackiewicz. nm, 95(3):487-502, 2003. [doi]

2002

Error Estimation for Nordsieck MethodsJohn C. Butcher, Zdzislaw Jackiewicz. na, 31(1-4):75-85, 2002. [doi]

Software Issues for Ordinary Differential EquationsJohn C. Butcher. na, 31(1-4):401-418, 2002. [doi]

Stability of Numerical Methods for Ordinary Differential EquationsJohn C. Butcher, A. D. Heard. na, 31(1-4):59-73, 2002. [doi]

Nordsieck Methods with an Off-Step PointJohn C. Butcher, A. E. O'Sullivan. na, 31(1-4):87-101, 2002. [doi]

PrefaceJohn C. Butcher. na, 31(1-4):1-3, 2002. [doi]

The A-Stability of Methods with Padé and Generalized Padé Stability FunctionsJohn C. Butcher. na, 31(1-4):47-58, 2002. [doi]

2001

The McNabb Symposium, 7-8 February 2000, Auckland, New ZealandJohn C. Butcher. jamds, 5(2):61-63, 2001. [doi]

2000

The McNabb symposium 7-8 February 2000 Auckland, New ZealandJohn C. Butcher. jamds, 4(2):99-101, 2000. [doi]

1999

Experiments with a variable-order type 1 DIMSIM codeJohn C. Butcher, P. Chartier, Zdzislaw Jackiewicz. na, 22(3-4):237-261, 1999. [doi]

The effective order of singly-implicit Runge-Kutta methodsJohn C. Butcher, P. Chartier. na, 20(4):269-284, 1999. [doi]

1998

DESIRE: diagonally extended singly implicit Runge-Kutta effective order methodsJohn C. Butcher, M. T. Diamantakis. na, 17(1-2):121-145, 1998. [doi]

ARK methods up to order fiveJohn C. Butcher. na, 17(3-4):193-221, 1998. [doi]

1997

Nordsieck representation of DIMSIMsJohn C. Butcher, P. Chartier, Zdzislaw Jackiewicz. na, 16(2):209-230, 1997. [doi]

1996

Orthogonal polynomials, Padé approximations and A-stabilityJohn C. Butcher. na, 11(1):71-78, 1996. [doi]

1992

Difference Equations from Differential Equations (W. J. Lick)John C. Butcher. siamrev, 34(1):140, 1992. [doi]

1989

Theory of Difference Equations: Numerical Methods and Applications (V. Lakshmikantham and D. Trigiante)John C. Butcher. siamrev, 31(4):689-690, 1989. [doi]

1979

A Transformed implicit Runge-Kutta MethodJohn C. Butcher. JACM, 26(4):731-738, 1979. [doi]

1967

A Multistep Generalization of Runge-Kutta Methods With Four or Five StagesJohn C. Butcher. JACM, 14(1):84-99, 1967. [doi]

1965

A Modified Multistep Method for the Numerical Integration of Ordinary Differential EquationsJohn C. Butcher. JACM, 12(1):124-135, 1965. [doi]

1961

Random Sampling from the Normal DistributionJohn C. Butcher. cj, 3(4):251-253, 1961. [doi]

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