High order numerical schemes for solving fractional powers of elliptic operators-Reference-Cited by-同舟云学术

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High order numerical schemes for solving fractional powers of elliptic operators

Published:2020-07 Issue: Volume:372 Page:112627
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Čiegis Raimondas,Vabishchevich Petr N.^ORCID

Funder

Russian Federation Government

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference30 articles.

1. Fractional Calculus: Models and Numerical Methods;Baleanu,2012

2. Nonlocal Continuum Field Theories;Eringen,2002

3. Theory and Applications of Fractional Differential Equations;Kilbas,2006

4. Numerical Methods for Elliptic and Parabolic Partial Differential Equations;Knabner,2003

5. Numerical Approximation of Partial Differential Equations;Quarteroni,1994

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1. Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator;Journal of Computational and Applied Mathematics;2022-06

2. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP;Journal of Computational and Applied Mathematics;2021-08

3. ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b;Numerical Linear Algebra with Applications;2021-07-12

4. A Comparison of Discrete Schemes for Numerical Solution of Parabolic Problems with Fractional Power Elliptic Operators;Mathematics;2021-06-10

5. A survey on numerical methods for spectral Space-Fractional diffusion problems;Fractional Calculus and Applied Analysis;2020-12-16

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