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A-Stability and Stochastic Mean-Square Stability
BIT Numerical Mathematics, 2000The author considers the mean-square stability of the stochastic differential equation for the test problem with multiplicative noise proposed by \textit{Y. Saito} and \textit{T. Mitsui} [SIAM J. Appl. Math. 56, No. 5, 1400-1423 (1996; Zbl 0869.60053)]. It quantifies precisely the point where unconditional stability is lost.
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The equivalence of algebraic stability andAN-stability
BIT, 1987Let C be a general linear integration method. The author proves that an irreducible AN-stable method C is algebraically stable (for definitions of these concepts see the author [ibid. 27, 182-189 (1987; Zbl 0623.65074)]. This generalizes previous results about Runge-Kutta methods and one-leg methods. A number of useful miscellaneous results from theory
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Stability and stabilization of biocatalysts
Trends in Biotechnology, 1999F J, Plou, A, Ballesteros
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Simplicity, and stability in there
Journal of Symbolic Logic, 2001AbstractFirstly, in this paper, we prove that the equivalence of simplicity and the symmetry of forking. Secondly, we attempt to recover definability part of stability theory to simplicity theory. In particular, using elimination of hyperimaginaries we prove that for any supersimpleT.
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G-stability is equivalent toA-stability
BIT, 1978In 1975 the author showed that a norm (Liapunov function) can be constructed for the stability and error analysis of a linear multistep method (and the related one-leg method) for the solution of stiff non-linear systems, provided that the system satisfies a monotonicity condition and the method possesses a property calledG-stability.
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