Geodesic
Stable iterative realization of some implicit methods of integration
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 121-128

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An iterative method of realizing implicit methods for solving stiff systems of ordinary differential equations is described, whereby the stability of the implicit methods is retained for a large integration step, and calculation of the Jacobian, and matrix inversion, are not required. Specifically, our discussion is in reference to the Euler and trapezoid implicit methods. 
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     author = {A. N. Zavorin},
     title = {Stable iterative realization of some implicit methods of integration},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {121--128},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a11/}
}
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A. N. Zavorin. Stable iterative realization of some implicit methods of integration. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a11/