65 citations · 66 across the 4 of their papers we have counts for
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math.NA2015★ 1 cited
Symmetric general linear methods
John Butcher, Adrian Hill, Terrence Norton
The article considers symmetric general linear methods, a class of numerical time integration methods which, like symmetric Runge--Kutta methods, are applicable to general time--re…
math.NA2015★ 65 cited
A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems
Yuto Miyatake, John C. Butcher
High order energy-preserving methods for Hamiltonian systems are presented. For this aim, an energy-preserving condition of continuous stage Runge--Kutta methods is proved. Order c…