Efficient solution of time-fractional differential equations with a new adaptive multi-term discretization of the generalized Caputo-Dzherbashyan derivative
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Publication:2009757
DOI10.1007/s10092-019-0329-0zbMath1427.65220OpenAlexW2973362193MaRDI QIDQ2009757
Publication date: 29 November 2019
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-019-0329-0
Iterative numerical methods for linear systems (65F10) Numerical quadrature and cubature formulas (65D32) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Uses Software
Cites Work
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- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- A parameterized study of maximum generalized pattern matching problems
- Numerical solution of distributed order fractional differential equations
- On the spectrum of stiffness matrices arising from isogeometric analysis
- Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
- Sparse approximate inverse preconditioners on high performance GPU platforms
- Interpolating preconditioners for the solution of sequence of linear systems
- Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- Some aspects of fractional diffusion equations of single and distributed order
- Modified moments and Gaussian quadratures
- Numerical solution of multiterm fractional differential equations using the matrix Mittag-Leffler functions
- Numerical solution of fractional differential equations: a survey and a software tutorial
- Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations
- The numerical solution of linear multi-term fractional differential equations: Systems of equations
- Preconditioning techniques for large linear systems: A survey
- Multi-order fractional differential equations and their numerical solution
- Block structured preconditioners in tensor form for the all-at-once solution of a finite volume fractional diffusion equation
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- Optimizing a multigrid Runge-Kutta smoother for variable-coefficient convection-diffusion equations
- On the decay of the inverse of matrices that are sum of Kronecker products
- Computation of quadrature rules for integration with respect to refinable functions on assigned nodes
- Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Discretized Fractional Calculus
- Decay Rates for Inverses of Band Matrices
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations
- A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
- STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS
- Spectral Analysis and Spectral Symbol of $d$-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices
- Approximate product-integration
