Unimprovable order-of-magnitude estimates of the rate of convergence of the Cayley transform method for approximation of an operator exponent

DOI10.1023/A:1021122622419zbMath1033.34063OpenAlexW2134538217MaRDI QIDQ1407058

V. L. Ryabichev, V. B. Vasylyk, Volodymyr L. Makarov

Publication date: 9 September 2003

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

Full work available at URL: https://doi.org/10.1023/a:1021122622419

zbMATH Keywords

abstract Cauchy problemsolutionCayley transform

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items (2)

Approximation theorems for operator exponential and cosine functions ⋮ Unimprovable convergence rate estimates of the Cayley transform method for the approximation of the operator exponent in the Hilbert space

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