Toward error estimates for general space-time discretizations of the advection equation
From MaRDI portal
Publication:6163827
DOI10.1007/s00791-020-00328-zOpenAlexW3111766459MaRDI QIDQ6163827
Thibaut Lunet, Martin J. Gander
Publication date: 30 June 2023
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-020-00328-z
Related Items (3)
A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms ⋮ Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection ⋮ Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schwarz methods over the course of time
- Wave propagation characteristics of Parareal
- Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening
- A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation
- A stable parareal-like method for the second order wave equation
- Convergence analysis of a \textit{periodic-like} waveform relaxation method for initial-value problems via the diagonalization technique
- Explicit parallel-in-time integration of a linear acoustic-advection system
- Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial differential equations
- Fourier-Laplace analysis of the multigrid waveform relaxation method for hyperbolic equations
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Toward Parallel Coarse Grid Correction for the Parareal Algorithm
- Nonlinear Convergence Analysis for the Parareal Algorithm
- Linear Instability of the Fifth-Order WENO Method
- A First Course in the Numerical Analysis of Differential Equations
- The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations
- A Direct Time Parallel Solver by Diagonalization for the Wave Equation
- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
- Convergence of the multigrid reduction in time algorithm for the linear elasticity equations
- Absorbing boundary conditions for the wave equation and parallel computing
- On the Multigrid Waveform Relaxation Method
- Optimizing multigrid reduction‐in‐time and Parareal coarse‐grid operators for linear advection
- On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method
- A Nonlinear ParaExp Algorithm
- Parallel Time Integration with Multigrid
- PARAEXP: A Parallel Integrator for Linear Initial-Value Problems
- Multigrid methods for Helmholtz problems: A convergent scheme in 1D using standard components
- High Order Difference Methods for Time Dependent PDE
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT
This page was built for publication: Toward error estimates for general space-time discretizations of the advection equation
