A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation
type: Item
instance of: scholarly article
title: A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation
zbMATH Open document ID: 1398.65375
author: Yanyan Li
published in: Computing and Visualization in Science
publication date: 2018-10-02T00:00:00Z
full work available at URL: https://hdl.handle.net/10871/30261
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 6946112
zbMATH Keywords: Parareal
zbMATH Keywords: Burgers' equation
zbMATH Keywords: semi-Lagrangian
zbMATH Keywords: Runge-Kutta
zbMATH Keywords: parallel-in-time
describes a project that uses: SWEET
describes a project that uses: GitHub
MaRDI profile type: Publication
OpenAlex ID: W2805483507
Wikidata QID: Q111288280
cites work: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
cites work: On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
cites work: Computational aspects of harmonic wavelet Galerkin methods and an application to a precipitation front propagation model
cites work: Parallel High-Order Integrators
cites work: Numerical Methods for Fluid Dynamics
cites work: Spectral deferred correction methods for ordinary differential equations
cites work: Toward an efficient parallel in time method for partial differential equations
cites work: Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
cites work: Parallel Time Integration with Multigrid
cites work: Analysis of the parareal algorithm applied to hyperbolic problems using characteristics
cites work: 50 Years of Time Parallel Time Integration
cites work: Analysis for parareal algorithms applied to Hamiltonian differential equations
cites work: Analysis of the Parareal Time‐Parallel Time‐Integration Method
cites work: Q4199478
cites work: A Space-Time Multigrid Method for Parabolic Partial Differential Equations
cites work: An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations
cites work: Additive Runge-Kutta schemes for convection-diffusion-reaction equations
cites work: A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations
cites work: Q5755052
cites work: A ``parareal'' in time discretization of PDE's
cites work: Multi-grid dynamic iteration for parabolic equations
cites work: On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids
cites work: Q4692890
cites work: Explicit parallel-in-time integration of a linear acoustic-advection system
cites work: Stability of the Parareal Algorithm
cites work: Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number
cites work: Q4839885
cites work: Q3550016
DOI: 10.1007/S00791-018-0294-1
description: scientific article; zbMATH DE number 6946112