Time parallelization scheme with an adaptive time step size for solving stiff initial value problems

DOI10.1515/MATH-2018-0022zbMath1404.65055OpenAlexW2801020550MaRDI QIDQ1643417

Sunyoung Bu

Publication date: 19 June 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0022

zbMATH Keywords

stiff systemparareal algorithmadaptive step sizeKrylov deferred correction

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for stiff equations (65L04)

Cites Work

• Unnamed Item
• Toward an efficient parallel in time method for partial differential equations
• A hybrid parareal spectral deferred corrections method
• Arbitrary order Krylov deferred correction methods for differential algebraic equations
• Order and stability of parallel methods for stiff problems
• An enhanced parareal algorithm based on the deferred correction methods for a stiff system
• Accelerating the convergence of spectral deferred correction methods
• Résolution d'EDP par un schéma en temps «pararéel »
• Semi-implicit Krylov deferred correction methods for differential algebraic equations
• Stiffness and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods
• Stability of the Parareal Algorithm

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