Unimprovable Order-of-Magnitude Estimates of the Rate of Convergence of the Cayley Transform Method for Approximation of an Operator Exponent |
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| Authors: | V. L. Makarov V. B. Vasilik V. L. Ryabichev |
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| Affiliation: | (1) Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine;(2) Taras Shevchenko University, Kiev, Ukraine |
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| Abstract: | Unimprovable order-of-magnitude estimates of the rate of convergence are established for the Cayley transform method used for approximating the solution of the abstract Cauchy problem for an ordinary differential equation. New theoretical results are presented. |
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| Keywords: | abstract Cauchy problem Cayley transform |
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