Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation-Reference-Cited by-同舟云学术

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Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation

Published:2020-06-13 Issue:4 Volume:86 Page:1685-1703
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Song Bo^ORCID,Jiang Yao-Lin,Wang Xiaolong

Funder

National Natural Science Foundation of China

the International Science and Technology Cooperation Program of Shaanxi Key Research & Development Plan

the Fundamental Research Funds for the Central Universities

Natural Science Basic Research Plan in ShaanxiProvince of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11075-020-00949-y.pdf

Reference39 articles.

1. Baffico, L., Bernard, S., Maday, Y., Turinici, G., Zérah, G.: Parallel-in-time molecular-dynamics simulations. Phys. Rev. E 66, 057701 (2002)

2. Bal, G.: Parallelization in time of (stochastic) ordinary differential equations. Math. Meth. Anal Num. (submitted) (2003)

3. Engblom, S.: Parallel in time simulation of multiscale stochastic chemical kinetics. Multiscale Model. Simul. 8(1), 46–68 (2009)

4. Fischer, P.F., Hecht, F., Maday, Y.: A parareal in time semi-implicit approximation of the Navier-Stokes equations. In: Kornhuber, R. et al. (eds.) Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering, vol. 40, pp 433–440. Springer, Berlin (2005)

5. Gander, M.J.: 50 years of time parallel time integration. In: Multiple Shooting and Time Domain Decomposition Methods, pp 69–113. Springer (2015)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues;Numerical Algorithms;2022-11-08

2. Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems;SIAM Journal on Numerical Analysis;2022-05-03

3. A hybrid algorithm based on parareal and Schwarz waveform relaxation;Electronic Research Archive;2022

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