Multigrid reduction in time for non-linear hyperbolic equations
DOI10.1553/etna_vol58s43zbMath1512.65191arXiv2104.09404WikidataQ115513763 ScholiaQ115513763MaRDI QIDQ6105400
Federico Danieli, Scott MacLachlan
Publication date: 9 June 2023
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09404
Hyperbolic conservation laws (35L65) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Complexity and performance of numerical algorithms (65Y20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
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- The parareal algorithm for American options
- Toward an efficient parallel in time method for partial differential equations
- Numerical simulation of skin transport using Parareal
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- Multigrid methods with space-time concurrency
- Wave propagation characteristics of Parareal
- On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
- Revisionist integral deferred correction with adaptive step-size control
- Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial differential equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs
- Parallel High-Order Integrators
- Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems
- A Multigrid Tutorial, Second Edition
- Numerical Methods for Conservation Laws
- Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations
- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
- Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems
- Optimizing multigrid reduction‐in‐time and Parareal coarse‐grid operators for linear advection
- Parallel Time Integration with Multigrid
- Algorithm 965
- Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study
- Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT)
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
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