Reduced model-based parareal simulations of oscillatory singularly perturbed ordinary differential equations

DOI10.1016/j.jcp.2021.110282OpenAlexW3120036977WikidataQ115350079 ScholiaQ115350079MaRDI QIDQ2131070

Van Thanh Nguyen, Sever A. Hirstoaga, Julien Salomon, Laura Grigori

Publication date: 25 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110282

zbMATH Keywords

parareal algorithmmulti-scale modelstwo-scale expansionelectric and magnetic fieldsVlasov characteristics

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Computer aspects of numerical algorithms (65Yxx)

Related Items (5)

Error Bound Analysis of the Stochastic Parareal Algorithm ⋮ A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving ⋮ Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems ⋮ Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems ⋮ Singularly perturbed ordinary differential equation with turning point and interior layer

Cites Work

• Volume-preserving algorithms for charged particle dynamics
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• Résolution d'EDP par un schéma en temps «pararéel »
• Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems
• A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations
• An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs
• Nonlinear Convergence Analysis for the Parareal Algorithm
• On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
• A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
• Stability of the Parareal Algorithm
• Analysis of the Parareal Time‐Parallel Time‐Integration Method
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