Factorized schemes for first and second order evolution equations with fractional powers of operators
DOI10.1515/cmam-2021-0073OpenAlexW3210572253MaRDI QIDQ2134462
Publication date: 3 May 2022
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2021-0073
rational approximationdifferential-operator equationsplitting schemeevolutionary equationfractional powers of the operatorstability of operator-difference schemes
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fractional partial differential equations (35R11) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of nonstationary problems for a space-fractional diffusion equation
- Ten equivalent definitions of the fractional Laplace operator
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Numerical solution of time-dependent problems with a fractional-power elliptic operator
- Fractional powers of closed operators and the semigroups generated by them
- Fractional powers of dissipative operators
- Numerical solution of time-dependent problems with fractional power elliptic operator
- Coefficient stability of second-order operator-differential equations
- Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).]
- Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator
- 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
- Numerical solution of fractional diffusion-reaction problems based on BURA
- A unified view of some numerical methods for fractional diffusion
- What is the fractional Laplacian? A comparative review with new results
- Rational approximations to fractional powers of self-adjoint positive operators
- A survey on numerical methods for spectral space-fractional diffusion problems
- Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature
- Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Approximation of a fractional power of an elliptic operator
- Numerical Methods for Evolutionary Differential Equations
- Numerical Methods for Elliptic and Parabolic Partial Differential Equations
- Numerical approximation of fractional powers of elliptic operators
- The Mathematical Theory of Finite Element Methods
- Functions of Matrices
- Stability of Solutions of Differential-operator and Operator-difference Equations in the Sense of Perturbation of Operators
- Galerkin Finite Element Methods for Parabolic Problems
- The strong stability of differential-operator and operator- difference schemes
- Numerical methods for fractional diffusion
This page was built for publication: Factorized schemes for first and second order evolution equations with fractional powers of operators
