Geodesic
The interpolation properties of Runge--Kutta methods
Matematičeskoe modelirovanie, Tome 20 (2008) no. 12, pp. 119-128

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The Runge–Kutta methods possessing the interpolation properties are examined; all coefficients of these methods belong to the interval $[0,1]$. Explicit and implicit methods up to 5-th order satisfying to the interpolation condition, or almost satisfying to it, are considered. 
@article{MM_2008_20_12_a8,
     author = {L. M. Skvortsov},
     title = {The interpolation properties of {Runge--Kutta} methods},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--128},
     publisher = {mathdoc},
     volume = {20},
     number = {12},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_12_a8/}
}
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L. M. Skvortsov. The interpolation properties of Runge--Kutta methods. Matematičeskoe modelirovanie, Tome 20 (2008) no. 12, pp. 119-128. http://geodesic.mathdoc.fr/item/MM_2008_20_12_a8/