Fast parareal iterations for fractional diffusion equations
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Publication:1714427
DOI10.1016/j.jcp.2016.10.046zbMath1406.65077OpenAlexW2539298773MaRDI QIDQ1714427
Publication date: 31 January 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.10.046
Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)
Related Items (19)
An implicit wavelet collocation method for variable coefficients space fractional advection-diffusion equations ⋮ A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations ⋮ A fast second-order parareal solver for fractional optimal control problems ⋮ Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation ⋮ Analysis of the parareal algorithm for linear parametric differential equations ⋮ Analysis of a new accelerated waveform relaxation method based on the time-parallel algorithm ⋮ Parareal algorithms with local time-integrators for time fractional differential equations ⋮ Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space ⋮ Fast upwind and Eulerian-Lagrangian control volume schemes for time-dependent directional space-fractional advection-dispersion equations ⋮ A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm ⋮ An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation ⋮ All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations ⋮ Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains ⋮ A preconditioned fast parareal finite difference method for space-time fractional partial differential equation ⋮ Parallel algorithms for nonlinear time-space fractional parabolic PDEs ⋮ Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations ⋮ A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems ⋮ Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains ⋮ A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations
Uses Software
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