Cover Image

Structure-preserving preconditioning of discrete space-fractional diffusion equations with variable coefficient and θ-Method

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Khan, Muhammad Faisal, Ilyas, Asim, Krause, Rolf, Serra-Capizzano, Stefano, Tablino-Possio, Cristina
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Spectral analysis and sine transform based preconditioning for a structure preserving stabilized scheme approximating the space-fractional Allen Cahn equation with logarithmic potential
by: Ahmad, Danyal, et al.
Published: (2026)

Determining the space dependent coefficients in space-time fractional diffusion equations via Krylov preconditioning
by: Ilyas, Asim, et al.
Published: (2025)

Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number $μ$
by: Adriani, Andrea, et al.
Published: (2024)

Fractional differential problems with numerical anti-reflective boundary conditions: a computational/precision analysis and numerical results
by: Sousa, Ercília, et al.
Published: (2023)

Can the a.c.s. notion and the GLT theory handle approximated PDEs/FDEs with either moving or unbounded domains?
by: Adriani, Andrea, et al.
Published: (2024)

Block triangular preconditioning for inverse source problems in time-space fractional diffusion equations
by: Majumdar, Monoswini, et al.
Published: (2025)

On $τ$-preconditioners for a quasi-compact difference scheme to Riesz fractional diffusion equations with variable coefficients
by: She, Zi-Hang, et al.
Published: (2024)

Geometric means of HPD GLT matrix-sequences: a maximal result beyond invertibility assumptions on the GLT symbols
by: Ilyas, Asiim, et al.
Published: (2025)

Domain decomposition methods and preconditioning strategies using generalized locally Toepltiz tools: proposals, analysis, and numerical validation
by: Rifqui, Abdessadek, et al.
Published: (2026)

Block Jacobi/Gauss-Seidel preconditioning for GLT sequences, and GLH sequences
by: Garoni, Carlo, et al.
Published: (2026)

A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring
by: Ahmad, Danyal, et al.
Published: (2024)

Blocking structures, approximation, and preconditioning
by: Barakitis, Nikos, et al.
Published: (2025)

The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case
by: Bruno, Ludovico Bruni, et al.
Published: (2023)

On the conditioning of polynomial histopolation
by: Bruno, Ludovico Bruni, et al.
Published: (2025)

Optimal preconditioning techniques for finite volume approximation of three-dimensional conservative space-fractional diffusion equations
by: Qu, Wei, et al.
Published: (2025)

A note on eigenvalues and singular values of variable Toeplitz matrices and matrix-sequences, with application to variable two-step BDF approximations to parabolic equations
by: Barakitis, Nikos, et al.
Published: (2024)

Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning
by: Benedusi, Pietro, et al.
Published: (2024)

Spectral distribution of Jacobi weighted histopolation matrices via GLT theory
by: Guessab, Allal, et al.
Published: (2026)

Flipped structured matrix-sequences in image deblurring with general boundary conditions
by: Ferrari, Paola, et al.
Published: (2024)

Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints
by: Kothari, Hardik, et al.
Published: (2022)

Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions
by: Lamsahel, Noureddine, et al.
Published: (2025)

An optimal preconditioner for high-order scheme arising from multi-dimensional Riesz space fractional diffusion equations with variable coefficients
by: Huang, Yuan-Yuan, et al.
Published: (2025)

Spectral theory of matrix-sequences: perspectives of the GLT analysis and beyond
by: Serra-Capizzano, Stefano
Published: (2025)

Multigrid preconditioning of singularly perturbed convection-diffusion equations
by: Shahid, M., et al.
Published: (2023)

Symbol-based multilevel block $τ$ preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications
by: Hon, Sean Y., et al.
Published: (2024)

A novel fourth-order scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations and its optimal preconditioned solver
by: Qu, Wei, et al.
Published: (2024)

GLT hidden structures in mean-field quantum spin systems
by: van de Ven, Christiaan J. F., et al.
Published: (2025)

A $τ$-preconditioner for space fractional diffusion equation with non-separable variable coefficients
by: Lin, Xue-Lei, et al.
Published: (2024)

On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
by: Faustmann, Markus, et al.
Published: (2019)

Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study
by: Manuel Bogoya, et al.
Published: (2024)

Mittag-Leffler stability of complete monotonicity-preserving schemes for time-dependent coefficients sub-diffusion equations
by: Dong, Wen, et al.
Published: (2024)

Parameter-robust preconditioning for hybridizable symmetric discretizations
by: Henriquez, Esteban, et al.
Published: (2025)

Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation
by: Ferri, Samuele, et al.
Published: (2025)

GLT matrix-sequences and few emblematic applications
by: Khan, Muhammad Faisal
Published: (2025)

An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains
by: Feng, Libo, et al.
Published: (2019)

A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
by: Matthes, Daniel, et al.
Published: (2023)

A simple-to-implement nonlinear preconditioning of Newton's method for solving the steady Navier-Stokes equations
by: Mohebujjaman, Muhammad, et al.
Published: (2025)

A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
by: Zhao, Yong-Liang, et al.
Published: (2019)

Weyl distributions, spectral properties, and circulant approximation results for quaternion block multilevel Toeplitz matrix sequences
by: Lailoune, Ayoub, et al.
Published: (2025)

Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory
by: Furci, Isabella, et al.
Published: (2024)