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Speed of convergence of Chernoff approximations to solutions of evolution equations. (English. Russian original) Zbl 1507.47095

Math. Notes 108, No. 3, 451-456 (2020); translation from Mat. Zametki 108, No. 3, 463-468 (2020).
Summary: This communication is devoted to establishing the very first steps in study of the speed at which the error decreases while dealing with the Chernoff theorem approximations to one-parameter semigroups that provide solutions to evolution equations.

MSC:

47D06 One-parameter semigroups and linear evolution equations
47N40 Applications of operator theory in numerical analysis

References:

[1] Engel, K.-J.; Nagel, R., One-Parameter Semigroups for Linear Evolution Equations (2000), New York: Springer, New York · Zbl 0952.47036
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