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48 changes: 37 additions & 11 deletions _bibliography/pint.bib
Original file line number Diff line number Diff line change
Expand Up @@ -7749,6 +7749,17 @@ @article{BhattEtAl2025
year = {2025},
}

@phdthesis{Bronasco2025,
author = {{Bronasco, Ausra}},
doi = {10.13097/ARCHIVE-OUVERTE/UNIGE:187048},
keywords = {info:eu-repo/classification/ddc/510, Parallel computing, High performance computing, Time-parallel, Partial differential equations, Pdes, Parallel-in-time, Runge-kutta methods, Spatial coarsening, Multigrid, Multilevel, Parareal, Mgrit, Stmg},
language = {en},
publisher = {Université de Genève},
title = {Improving the Efficiency and Theoretical Understanding of Time-Parallel Multigrid Methods},
url = {https://archive-ouverte.unige.ch/unige:187048},
year = {2025},
}

@unpublished{CaballeroEtAl2025,
abstract = {We consider the initial-boundary value problem for a quasilinear time-fractional diffusion equation, and develop a fully discrete solver combining the parareal algorithm in time with a L1 finite-difference approximation of the Caputo derivative and a spectral Galerkin discretization in space. Our main contribution is the first rigorous convergence proof for the parareal-L1 scheme in this nonlinear subdiffusive setting. By constructing suitable energy norms and exploiting the orthogonality of the spectral basis, we establish that the parareal iterations converge exactly to the fully serial L1-spectral solution in a finite number of steps, with rates independent of the fractional exponent. The spectral spatial discretization yields exponential accuracy in space, while the parareal structure induces a clock speedup proportional to the number of processors, making the overall method highly efficient. Numerical experiments for both subdiffusive and classical diffusion problems confirm our theoretical estimates and demonstrate up to an order of magnitude reduction in computational time compared to the conventional sequential solver. We observe that the speedup of the parareal method increases linearly with the fine integrator degrees of freedom.},
author = {Josefa Caballero and Łukasz Płociniczak and Kishin Sadarangani},
Expand Down Expand Up @@ -7948,6 +7959,18 @@ @inproceedings{HamdanEtAl2025
year = {2025},
}

@article{HeinzelreiterEtAl2025,
author = {Heinzelreiter, Bernhard and Pearson, John W},
doi = {10.1093/imanum/draf088},
issn = {1464-3642},
journal = {IMA Journal of Numerical Analysis},
month = {November},
publisher = {Oxford University Press (OUP)},
title = {Diagonalization-based parallel-in-time preconditioners for instationary fluid flow control problems},
url = {http://dx.doi.org/10.1093/imanum/draf088},
year = {2025},
}

@article{Hope-CollinsEtAl2025,
author = {Hope-Collins, Joshua and Hamdan, Abdalaziz and Bauer, Werner and Mitchell, Lawrence and Cotter, Colin},
doi = {10.5194/gmd-18-4535-2025},
Expand Down Expand Up @@ -8324,6 +8347,20 @@ @unpublished{TabeartEtAl2025
year = {2025},
}

@article{TachyridisEtAl2025,
author = {Tachyridis, Grigorios and Hon, Sean Y.},
doi = {10.1002/nla.70047},
issn = {1099-1506},
journal = {Numerical Linear Algebra with Applications},
month = {November},
number = {6},
publisher = {Wiley},
title = {An Optimal Preconditioned MINRES Method for Symmetrized Multilevel Block Toeplitz Systems With Applications},
url = {http://dx.doi.org/10.1002/nla.70047},
volume = {32},
year = {2025},
}

@article{TangEtAl2025,
author = {Tang, Changyang and Wu, Shu-Lin and Zhou, Tao and Zhou, Yuancheng},
doi = {10.1007/s10915-025-02899-w},
Expand Down Expand Up @@ -8427,17 +8464,6 @@ @unpublished{ZoltowskiEtAl2025
year = {2025},
}

@phdthesis{Bronasco2025,
author = {{Bronasco, Ausra}},
doi = {10.13097/ARCHIVE-OUVERTE/UNIGE:187048},
keywords = {info:eu-repo/classification/ddc/510, Parallel computing, High performance computing, Time-parallel, Partial differential equations, Pdes, Parallel-in-time, Runge-kutta methods, Spatial coarsening, Multigrid, Multilevel, Parareal, Mgrit, Stmg},
language = {en},
publisher = {Université de Genève},
title = {Improving the Efficiency and Theoretical Understanding of Time-Parallel Multigrid Methods},
url = {https://archive-ouverte.unige.ch/unige:187048},
year = {2025},
}

@article{AluthgeEtAl2026,
author = {Aluthge, Devin and Jeffrey, Ian and Filizadeh, Shaahin and Muthumuni, Dharshana},
doi = {10.1016/j.epsr.2025.112314},
Expand Down