Convergence analysis of some second-order parareal algorithms

DOI10.1093/imanum/dru031zbMath1362.65073OpenAlexW2150635106MaRDI QIDQ2944226

Shu-Lin Wu

Publication date: 28 August 2015

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/dru031

zbMATH Keywords

implicit Euler methodparareal algorithmtrapezoidal method2s-DIRK methodTR/BDF2 method

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Three rapidly convergent parareal solvers with application to time‐dependent PDEs with fractional Laplacian, Tight Two-Level Convergence of Linear Parareal and MGRIT: Extensions and Implications in Practice, Toward Parallel Coarse Grid Correction for the Parareal Algorithm, Convergence Analysis of a Mixed Precision Parareal Algorithm, Multigrid method based on a space-time approach with standard coarsening for parabolic problems, Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial differential equations, Parareal algorithms with local time-integrators for time fractional differential equations, Fast parareal iterations for fractional diffusion equations, An efficient parareal algorithm for a class of time-dependent problems with fractional Laplacian, A second-order parareal algorithm for fractional PDEs, Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time, Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique, Convergence Analysis for Three Parareal Solvers