Error-free transformation (EFT) is a set of techniques for multi-component multiple-precision libraries such as double-double and quadruple-double precision arithmetic library by Bailey et al. Rump demonstrated that EFT can also be applied as $K$-fold arithmetic. In this paper, we discuss the effectiveness of the extrapolation method with EFT.
A Superexponentially Convergent Functional-Discrete Method for Solving the Cauchy Problem for Systems of Ordinary Differential Equations
Invariant Variational Schemes for Ordinary Differential Equations
A non-homogeneous method of third order for additive stiff systems of ordinary differential equations
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