A Fast Block $\alpha$-Circulant Preconditoner for All-at-Once Systems From Wave Equations

From MaRDI portal
Publication:5854655

DOI10.1137/19M1309869zbMath1460.65102OpenAlexW3111546103MaRDI QIDQ5854655

Jun Liu, Shu-Lin Wu

Publication date: 17 March 2021

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1309869




Related Items (20)

A well-conditioned direct pint algorithm for first- and second-order evolutionary equationsParallel implementation for the two-stage SDIRK methods via diagonalizationSome observations on preconditioning for non-self-adjoint and time-dependent problemsParallel-in-time preconditioner for the Sinc-Nyström systemsA Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithmsA Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary ProblemsConvergence Analysis of a Mixed Precision Parareal AlgorithmImproved ParaDiag via low-rank updates and interpolationA New ParaDiag Time-Parallel Time Integration MethodA block Toeplitz preconditioner for all-at-once systems from linear wave equationsFast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid OperatorsA parallel-in-time collocation method using diagonalization: theory and implementation for linear problemsPinT Preconditioner for Forward-Backward Evolutionary EquationsA Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic EquationA sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEsA parallel-in-time implementation of the Numerov method for wave equationsA ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEsFast parallel-in-time quasi-boundary value methods for backward heat conduction problemsA direct parallel-in-time quasi-boundary value method for inverse space-dependent source problemsSpace-Time Block Preconditioning for Incompressible Flow


Uses Software


Cites Work


This page was built for publication: A Fast Block $\alpha$-Circulant Preconditoner for All-at-Once Systems From Wave Equations