Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A parareal exponential integrator finite element method for semilinear parabolic equations

Jianguo Huang, Lili Ju and Yuejin Xu
Numerical Methods for Partial Differential Equations (2024)
https://doi.org/10.1002/num.23116

A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems

Gayatri Čaklović, Robert Speck and Martin Frank
Communications in Applied Mathematics and Computational Science 18 (1) 55 (2023)
https://doi.org/10.2140/camcos.2023.18.55

Error Bound Analysis of the Stochastic Parareal Algorithm

Kamran Pentland, Massimiliano Tamborrino and T. J. Sullivan
SIAM Journal on Scientific Computing 45 (5) A2657 (2023)
https://doi.org/10.1137/22M1533062

Modified parareal method for solving the two-dimensional nonlinear shallow water equations using finite volumes

Joao G. Caldas Steinstraesser, Vincent Guinot and Antoine Rousseau
The SMAI journal of computational mathematics 7 159 (2022)
https://doi.org/10.5802/smai-jcm.75

Structural Reliability Analysis of a Beam with Different Distributed Variables Via Stochastic Reduced Basis Method

YJ Li, B Huang and HY Pei
Journal of Physics: Conference Series 2158 (1) 012021 (2022)
https://doi.org/10.1088/1742-6596/2158/1/012021

Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method

Franz Chouly and Pauline Klein
Numerical Algorithms 90 (2) 631 (2022)
https://doi.org/10.1007/s11075-021-01201-x

A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems

Shu-Lin Wu, Tao Zhou and Zhi Zhou
SIAM Journal on Matrix Analysis and Applications 43 (3) 1331 (2022)
https://doi.org/10.1137/21M145358X

Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations

Dandan Xue, Yanren Hou and Wenjia Liu
Applied Mathematics and Computation 387 124625 (2020)
https://doi.org/10.1016/j.amc.2019.124625

Influence of the phase accuracy of the coarse solver calculation on the convergence of the parareal method iteration for hyperbolic PDEs

Mikio Iizuka and Kenji Ono
Computing and Visualization in Science 19 (3-4) 97 (2018)
https://doi.org/10.1007/s00791-018-0299-9

Domain Decomposition Methods in Science and Engineering XXIV

Martin J. Gander, Stefan Güttel and Madalina Petcu
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 261 (2018)
https://doi.org/10.1007/978-3-319-93873-8_24

Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening

Thibaut Lunet, Julien Bodart, Serge Gratton and Xavier Vasseur
Computing and Visualization in Science 19 (1-2) 31 (2018)
https://doi.org/10.1007/s00791-018-0295-0

Time-parallel gravitational collapse simulation

Andreas Kreienbuehl, Pietro Benedusi, Daniel Ruprecht and Rolf Krause
Communications in Applied Mathematics and Computational Science 12 (1) 109 (2017)
https://doi.org/10.2140/camcos.2017.12.109

A Hybrid Algorithm Based on Optimal Quadratic Spline Collocation and Parareal Deferred Correction for Parabolic PDEs

Jun Liu, Yan Wang and Rongjian Li
Mathematical Problems in Engineering 2016 1 (2016)
https://doi.org/10.1155/2016/6943079

Two-Level Space–Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems

Xiaomao Deng, Xiao-Chuan Cai and Jun Zou
Journal of Scientific Computing 67 (3) 860 (2016)
https://doi.org/10.1007/s10915-015-0109-1

Domain Decomposition Methods in Science and Engineering XXII

Daniel Ruprecht, Robert Speck and Rolf Krause
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXII 104 371 (2016)
https://doi.org/10.1007/978-3-319-18827-0_37

Multiple Shooting and Time Domain Decomposition Methods

Martin J. Gander
Contributions in Mathematical and Computational Sciences, Multiple Shooting and Time Domain Decomposition Methods 9 69 (2015)
https://doi.org/10.1007/978-3-319-23321-5_3

A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA

Andrea Arteaga, Daniel Ruprecht and Rolf Krause
Applied Mathematics and Computation 267 727 (2015)
https://doi.org/10.1016/j.amc.2014.12.055

Numerical Mathematics and Advanced Applications - ENUMATH 2013

Johannes Steiner, Daniel Ruprecht, Robert Speck and Rolf Krause
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications - ENUMATH 2013 103 195 (2015)
https://doi.org/10.1007/978-3-319-10705-9_19

Analysis of Two Parareal Algorithms for Time-Periodic Problems

Martin J. Gander, Yao-Lin Jiang, Bo Song and Hui Zhang
SIAM Journal on Scientific Computing 35 (5) A2393 (2013)
https://doi.org/10.1137/130909172

PARAEXP: A Parallel Integrator for Linear Initial-Value Problems

Martin J. Gander and Stefan Güttel
SIAM Journal on Scientific Computing 35 (2) C123 (2013)
https://doi.org/10.1137/110856137

A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations

Jun Liu and Yao-Lin Jiang
Journal of Computational and Applied Mathematics 236 (17) 4245 (2012)
https://doi.org/10.1016/j.cam.2012.05.014