Unimprovable convergence rate estimates of the Cayley transform method for the approximation of the operator exponent in the Hilbert space

DOI10.1007/S10559-023-00630-XMaRDI QIDQ6198094

Volodymyr L. Makarov, N. V. Maiko, V. L. Ryabichev

Publication date: 20 February 2024

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemHilbert spacedifferential equationerror estimateCayley transformoperator exponential function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Cites Work

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• Unimprovable order-of-magnitude estimates of the rate of convergence of the Cayley transform method for approximation of an operator exponent
• The cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in hilbert space

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