Optimal error estimates in operator-norm approximations of semigroups

DOI10.1023/B:MATH.0000045552.97035.87zbMath1077.47041OpenAlexW2120067242MaRDI QIDQ703953

Vygantas Paulauskas, Vidmantas Bentkus

Publication date: 12 January 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:math.0000045552.97035.87

zbMATH Keywords

Chernoff theoryTrotter-Kato formulaholomorphic semigroupsEuler approximationsRitt condition

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Applications of operator theory to differential and integral equations (47N20) Numerical solutions to equations with linear operators (65J10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear differential equations in abstract spaces (34G10) Remainders in approximation formulas (41A80) Applications of operator theory in numerical analysis (47N40)

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