Exponentially convergent trapezoidal rules to approximate fractional powers of operators
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Publication:2148112
DOI10.1007/s10915-022-01837-4OpenAlexW3182967223MaRDI QIDQ2148112
Publication date: 21 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05860
Linear operator approximation theory (47A58) Numerical quadrature and cubature formulas (65D32) Numerical computation of matrix exponential and similar matrix functions (65F60)
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Cites Work
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- DE-sinc methods have almost the same convergence property as SE-sinc methods even for a family of functions fitting the SE-sinc methods. I: Definite integration and function approximation
- Numerically solving an equation for fractional powers of elliptic operators
- Fractional powers of closed operators and the semigroups generated by them
- Function classes for double exponential integration formulas
- Numerical solution of time-dependent problems with fractional power elliptic operator
- Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
- Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation
- Padé-type approximations to the resolvent of fractional powers of operators
- A unified view of some numerical methods for fractional diffusion
- Rational Krylov methods for functions of matrices with applications to fractional partial differential equations
- Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1\)]
- Rational approximations to fractional powers of self-adjoint positive operators
- On sinc quadrature approximations of fractional powers of regularly accretive operators
- Discovery of the double exponential transformation and its developments
- The Exponentially Convergent Trapezoidal Rule
- Approximation of a fractional power of an elliptic operator
- Optimal solvers for linear systems with fractional powers of sparse SPD matrices
- Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices
- Numerical approximation of fractional powers of elliptic operators