Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations
DOI10.1016/j.apnum.2020.12.006zbMath1460.65134OpenAlexW3111579061MaRDI QIDQ2227757
Andrew J. Wathen, Micheal K. Ng, Xue-Lei Lin
Publication date: 15 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://ora.ox.ac.uk/objects/uuid:97610bf9-e625-4c21-8ffd-d49153cf1563
advection-dominatedfast sine transformmultilevel Toeplitz matrixconvergence of GMRESsteady-state and evolutionary advection-diffusion equation
Estimates of eigenvalues in context of PDEs (35P15) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations
- A posteriori error estimators for convection-diffusion equations
- A semi-circulant preconditioner for the convection-diffusion equation
- BiCGstab(\(l\)) and other hybrid Bi-CG methods
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- Preconditioned iterative methods and finite difference schemes for convection-diffusion
- The ubiquitous Kronecker product
- Meshless simulation of stochastic advection-diffusion equations based on radial basis functions
- Convergence and performance of iterative methods for solving variable coefficient convection-diffusion equation with a fourth-order compact difference scheme
- Fourier analysis of a robust multigrid method for convection-diffusion equations
- A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Heat transfer to a draining film
- Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation
- A GENERALIZED PRECONDITIONED MHSS METHOD FOR A CLASS OF COMPLEX SYMMETRIC LINEAR SYSTEMS
- Finite Elements and Fast Iterative Solvers
- Fast iterative solver for convection-diffusion systems with spectral elements
- A single cell high order scheme for the convection-diffusion equation with variable coefficients
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Time‐splitting procedures for the solution of the two‐dimensional transport equation
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Dispersion analysis in homogeneous lakes
- Aspects of Numerical Methods for Elliptic Singular Perturbation Problems
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Variants of BICGSTAB for Matrices with Complex Spectrum
- Accelerated Multigrid Convergence and High-Reynolds Recirculating Flows
- Conjugate Gradient Methods for Toeplitz Systems
- ILUT: A dual threshold incomplete LU factorization
- Fast inversion of triangular Toeplitz matrices
This page was built for publication: Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations