Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
From MaRDI portal
Publication:3617011
DOI10.1051/proc:082508zbMath1156.65322OpenAlexW2014429544WikidataQ59540976 ScholiaQ59540976MaRDI QIDQ3617011
Madalina Petcu, Martin J. Gander
Publication date: 26 March 2009
Published in: ESAIM: Proceedings (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/proc:082508
Related Items (32)
Explicit parallel-in-time integration of a linear acoustic-advection system ⋮ Parallel implementation for the two-stage SDIRK methods via diagonalization ⋮ Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems ⋮ Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method ⋮ Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations ⋮ Parallel-in-time simulation of biofluids ⋮ A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems ⋮ Error Bound Analysis of the Stochastic Parareal Algorithm ⋮ Influence of the phase accuracy of the coarse solver calculation on the convergence of the parareal method iteration for hyperbolic pdes ⋮ Exponential Runge-Kutta parareal for non-diffusive equations ⋮ A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems ⋮ A Nonlinear ParaExp Algorithm ⋮ A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations ⋮ A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems ⋮ PARAOPT: A Parareal Algorithm for Optimality Systems ⋮ Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations ⋮ A stable parareal-like method for the second order wave equation ⋮ A stencil-based implementation of parareal in the C++ domain specific embedded language STELLA ⋮ An Exponential Time Integrator for the Incompressible Navier--Stokes Equation ⋮ A Direct Time Parallel Solver by Diagonalization for the Wave Equation ⋮ A parareal algorithm based on waveform relaxation ⋮ Parallel matrix function evaluation via initial value ODE modeling ⋮ Wave propagation characteristics of Parareal ⋮ Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening ⋮ Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model ⋮ A hybrid algorithm based on optimal quadratic spline collocation and parareal deferred correction for parabolic PDEs ⋮ 50 Years of Time Parallel Time Integration ⋮ Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients ⋮ Modified parareal method for solving the two-dimensional nonlinear shallow water equations using finite volumes ⋮ Convergence Analysis for Three Parareal Solvers ⋮ Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number ⋮ A minimal communication approach to parallel time integration
This page was built for publication: Analysis of a Krylov subspace enhanced parareal algorithm for linear problems