Simple technique for constructing stability polynomials for explicit stabilized Runge--Kutta methods
Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 81-86

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The problem of constructing stability polynomial of the given degree is considered. This polynomial provides the given order of exponential approximation and the maximum length of stability domain along the real axis. The technique for the approximate solving this problem, which demands of tuning only two parameters, is proposed.
Keywords: explicit Runge–Kutta methods, stiff problems, stability polynomials.
@article{MM_2011_23_1_a6,
     author = {L. M. Skvortsov},
     title = {Simple technique for constructing stability polynomials for explicit stabilized {Runge--Kutta} methods},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {81--86},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_1_a6/}
}
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L. M. Skvortsov. Simple technique for constructing stability polynomials for explicit stabilized Runge--Kutta methods. Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 81-86. http://geodesic.mathdoc.fr/item/MM_2011_23_1_a6/