Towards essential improvement for the parareal-TR and parareal-Gauss4 algorithms

DOI10.1016/j.cam.2016.05.036zbMath1346.65037OpenAlexW2468167876MaRDI QIDQ738990

Shu-Lin Wu

Publication date: 16 August 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.05.036

zbMATH Keywords

convergence analysisiterative algorithmRunge-Kutta methodnumerical resulttrapezoidal ruleparareal4th-order Gauss RK method4th-order Lobatto III-C methodsingly diagonally implicit Runge-Kutta method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Toward Parallel Coarse Grid Correction for the Parareal Algorithm ⋮ Fast parareal iterations for fractional diffusion equations

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