Preconditioners for all-at-once system from the fractional mobile/immobile advection-diffusion model
type: Item
instance of: scholarly article
title: Preconditioners for all-at-once system from the fractional mobile/immobile advection-diffusion model
zbMATH Open document ID: 1475.65049
author: Yong-Liang Zhao
author: Xian-Ming Gu
author: Meng Li
author: Huan-Yan Jian
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 7435190
zbMATH Keywords: all-at-once system
zbMATH Keywords: block lower triangular Toeplitz matrix
zbMATH Keywords: stair matrix
zbMATH Keywords: Krylov subspace methods
zbMATH Keywords: fractional advection-differential equations
zbMATH Keywords: \(L1\) formula
MaRDI profile type: Publication
full work available at URL: s12190-020-01410-y
OpenAlex ID: W3045880099
cites work: Parallel multistep methods for linear evolution problems
cites work: Block preconditioning strategies for time-space fractional diffusion equations
cites work: Finite difference approximations for the fractional Fokker-Planck equation
cites work: 50 Years of Time Parallel Time Integration
cites work: A compact finite difference scheme for the fractional sub-diffusion equations
cites work: Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations
cites work: Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
cites work: Strang-type preconditioners for solving fractional diffusion equations by boundary value methods
cites work: A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel
cites work: A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations
cites work: A high-order compact finite difference scheme for the fractional sub-diffusion equation
cites work: A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients
cites work: A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations
cites work: Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
cites work: On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors
cites work: A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
cites work: A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations
cites work: Galerkin finite element method for nonlinear fractional Schrödinger equations
cites work: Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation
cites work: Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation
cites work: Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
cites work: A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
cites work: Numerical methods and analysis for a class of fractional advection-dispersion models
cites work: A RBF meshless approach for modeling a fractal mobile/immobile transport model
cites work: Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equations
cites work: Approximate inversion method for time‐fractional subdiffusion equations
cites work: Quadratic spline collocation method for the time fractional subdiffusion equation
cites work: A new finite element analysis for inhomogeneous boundary-value problems of space fractional differential equations
cites work: Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations
cites work: A Note on Preconditioning for Indefinite Linear Systems
cites work: Q4250595
cites work: Q4414854
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Q4829998
cites work: Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
cites work: A new high order ADI numerical difference formula for time-fractional convection-diffusion equation
cites work: An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
cites work: Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection–diffusion model
cites work: An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
cites work: Investigations on several high-order ADI methods for time-space fractional diffusion equation
cites work: A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
cites work: A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations with fractional derivative boundary conditions
cites work: A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
cites work: A fast second-order implicit scheme for non-linear time-space fractional diffusion equation with time delay and drift term
DOI: 10.1007/S12190-020-01410-Y
description: scientific article; zbMATH DE number 7435190