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International Journal of Computer Mathematics Volume 96, 2019 - Issue 7
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Original Article

Convergence analysis of a parareal-in-time algorithm for the incompressible non-isothermal flows

Zhen MiaoSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, People's Republic of ChinaView further author information
,
Yao-Lin JiangSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, People's Republic of ChinaCorrespondence[email protected]
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Yun-Bo YangSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, People's Republic of ChinaView further author information
Pages 1398-1415 | Received 05 Nov 2017, Accepted 23 Jun 2018, Published online: 30 Jul 2018

Citations (8)

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Read on this site (1)

Ren-Hao Zhang, Yao-Lin Jiang, Jun Li & Bo Song. (2023) Analysis of the parareal algorithm for linear parametric differential equations. International Journal of Computer Mathematics 100:4, pages 775-795.
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Articles from other publishers (7)

Zhen Miao, Ren-Hao Zhang, Wei-Wei Han & Yao-Lin Jiang. (2024) Analysis of a fractional-step parareal algorithm for the incompressible Navier-Stokes equations. Computers & Mathematics with Applications 161, pages 78-89.
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Christoph Lohmann & Stefan Turek. (2024) Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations. Journal of Mathematical Fluid Mechanics 26:2.
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Christoph Lohmann & Stefan Turek. (2023) On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems. Journal of Mathematical Fluid Mechanics 25:3.
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Jun Li, Yao‐Lin Jiang & Zhen Miao. (2021) Analysis of the parareal approach based on discontinuous Galerkin method for time‐dependent Stokes equations. Numerical Methods for Partial Differential Equations 39:1, pages 6-29.
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Federico Danieli, Ben S. Southworth & Andrew J. Wathen. (2022) Space-Time Block Preconditioning for Incompressible Flow. SIAM Journal on Scientific Computing 44:1, pages A337-A363.
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Wenqian Chen, Yaping Ju & Chuhua Zhang. (2021) A parallel inverted dual time stepping method for unsteady incompressible fluid flow and heat transfer problems. Computer Physics Communications 260, pages 107325.
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Jun Li, Yao‐Lin Jiang & Zhen Miao. (2019) A parareal approach of semi‐linear parabolic equations based on general waveform relaxation. Numerical Methods for Partial Differential Equations 35:6, pages 2017-2043.
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