Padé-type approximations to the resolvent of fractional powers of operators

DOI10.1007/s10915-020-01198-wzbMath1443.47015arXiv1905.06745OpenAlexW3013604984MaRDI QIDQ2173565

Paolo Novati, Lidia Aceto

Publication date: 16 April 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06745

zbMATH Keywords

Padé approximantsfractional powers of operatorsKrylov methodsmatrix functions

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Numerical quadrature and cubature formulas (65D32) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (5)

Factorized schemes for first and second order evolution equations with fractional powers of operators ⋮ Exponentially convergent trapezoidal rules to approximate fractional powers of operators ⋮ A Gauss-Laguerre approach for the resolvent of fractional powers ⋮ A Gaussian method for the square root of accretive operators ⋮ Exponent Splitting Schemes for Evolution Equations with Fractional Powers of Operators

Uses Software

• FastGaussQuadrature

Cites Work

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