Geodesic
Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge--Kutta schemes
Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 129-136

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One step free of iterations methods for numerical solution of Cauchy problem for ordinary differential systems of equations there are described. They are equivalent to stiffly accurate 2-stages Runge–Kutta schemes for linear problems (autonomous as well as non-autonomous). Stiff tests such as autonomous Kaps system and non-autonomous Prothero-Robinson problem have been used for numerical study of methods accuracy.
Keywords: one-step methods, stiffly accurate Runge–Kutta schemes, numerical order of accuracy, schemes with complex coefficients. 
@article{MM_2012_24_12_a21,
     author = {A. M. Zubanov and P. D. Shirkov},
     title = {Numerical study of one-step lineary implicit methods which are {L-equivalent} to stiffly accurate two-stages {Runge--Kutta} schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {129--136},
     publisher = {mathdoc},
     volume = {24},
     number = {12},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_12_a21/}
}
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A. M. Zubanov; P. D. Shirkov. Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge--Kutta schemes. Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 129-136. http://geodesic.mathdoc.fr/item/MM_2012_24_12_a21/