A new approach to the algebraic structures for integration methods

zbMath1016.65047MaRDI QIDQ1864772

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

Publication date: 19 March 2003

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Runge-Kutta methodsdual spaceB-seriesforest spacetree spacecomposition rule\(C\) simplifying assumptions\(D\) simplifying assumptionsdual forestelementary weight functionerror conditions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Runge-Kutta methods and Banach algebras ⋮ Order conditions for general linear Nyström methods ⋮ Relations between the Hopf algebra and the B-series with new concepts

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