Abstract
This paper gives new insight into the concept ofD-stability of Runge-Kutta methods for stiff ordinary differential equations.
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References
G. Dahlquist,The sets of smooth solutions of differential and difference equations, in:Stiff Differential Systems (ed. R. Willoughby), Plenum Press (1974).
H. J. Stetter,Towards a theory for discretizations of stiff differential systems, Lecture Notes in Math., vol. 506, Springer Verlag, 60–72 (1976).
M. van Veldhuizen,Convergence of one-step discretizations for stiff differential equations (thesis). Math. Institute, Univ. of Utrecht, Netherlands, 1973.
M. van Veldhuizen,D-stability. SIAM J. Numer. Anal.18, 45–64 (1981).
M. van Veldhuizen,On D-stability and B-stability. Numer. Math.42, 349–357 (1983).
J. G. Verwer,On the practical value of the notion of BN-stability. BIT21, 355–361 (1981).
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Hairer, E. A note onD-stability. BIT 24, 383–386 (1984). https://doi.org/10.1007/BF02136038
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DOI: https://doi.org/10.1007/BF02136038