Constructive Characterization of A-Stable Approximations to exp(z) and Its Connection with Algebraically Stable Runge-Kutta Methods.
Numerische Mathematik, Tome 39 (1982), pp. 247-258.

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Mots-clés : exponential function, rational approximations, theory of order stars, A- stability, I-stability, algebraic stability, implicit Runge-Kutta methods
@article{NUMA_1982__39_132795,
     author = {E. Hairer},
     title = {Constructive {Characterization} of {A-Stable} {Approximations} to exp(z) and {Its}  {Connection} with {Algebraically} {Stable} {Runge-Kutta} {Methods.}},
     journal = {Numerische Mathematik},
     pages = {247--258},
     publisher = {mathdoc},
     volume = {39},
     year = {1982},
     zbl = {0493.65035},
     url = {http://geodesic.mathdoc.fr/item/NUMA_1982__39_132795/}
}
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E. Hairer. Constructive Characterization of A-Stable Approximations to exp(z) and Its  Connection with Algebraically Stable Runge-Kutta Methods.. Numerische Mathematik, Tome 39 (1982), pp. 247-258. http://geodesic.mathdoc.fr/item/NUMA_1982__39_132795/