Geodesic
Explicit adaptive Runge–Kutta methods for stiff and oscillation problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1434-1448

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Explicit Runge–Kutta methods with the coefficients tuned to the problem of interest are examined. The tuning is based on estimates for the dominant eigenvalues of the Jacobian matrix obtained from the results of the preliminary stages. Test examples demonstrate that methods of this type can be efficient in solving stiff and oscillation problems. 
@article{ZVMMF_2011_51_8_a6,
     author = {L. M. Skvortsov},
     title = {Explicit adaptive {Runge{\textendash}Kutta} methods for stiff and oscillation problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1434--1448},
     publisher = {mathdoc},
     volume = {51},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a6/}
}
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L. M. Skvortsov. Explicit adaptive Runge–Kutta methods for stiff and oscillation problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1434-1448. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a6/