Skip to content

pint.bib updates #994

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 1 commit into from
Oct 15, 2025
Merged

pint.bib updates #994

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
22 changes: 13 additions & 9 deletions _bibliography/pint.bib
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -7575,15 +7575,6 @@ @unpublished{SterckEtAl2024
year = {2024},
}

@unpublished{SterckEtAl2024b,
abstract = {We consider the parallel-in-time solution of hyperbolic partial differential equation (PDE) systems in one spatial dimension, both linear and nonlinear. In the nonlinear setting, the discretized equations are solved with a preconditioned residual iteration based on a global linearization. The linear(ized) equation systems are approximately solved parallel-in-time using a block preconditioner applied in the characteristic variables of the underlying linear(ized) hyperbolic PDE. This change of variables is motivated by the observation that inter-variable coupling for characteristic variables is weak relative to intra-variable coupling, at least locally where spatio-temporal variations in the eigenvectors of the associated flux Jacobian are sufficiently small. For an $\ell$-dimensional system of PDEs, applying the preconditioner consists of solving a sequence of $\ell$ scalar linear(ized)-advection-like problems, each being associated with a different characteristic wave-speed in the underlying linear(ized) PDE. We approximately solve these linear advection problems using multigrid reduction-in-time (MGRIT); however, any other suitable parallel-in-time method could be used. Numerical examples are shown for the (linear) acoustics equations in heterogeneous media, and for the (nonlinear) shallow water equations and Euler equations of gas dynamics with shocks and rarefactions.},
author = {H. De Sterck and R. D. Falgout and O. A. Krzysik and J. B. Schroder},
howpublished = {arXiv:2407.03873v1 [math.NA]},
title = {Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning},
url = {http://arxiv.org/abs/2407.03873v1},
year = {2024},
}

@article{WuEtAl2024,
author = {Wu, Shu-Lin and Zhou, Tao},
doi = {10.1137/23m1592481},
Expand Down Expand Up @@ -8028,6 +8019,19 @@ @inbook{KaiserEtAl2025
year = {2025},
}

@article{KrzysikEtAl2025,
author = {Krzysik, O. A. and De Sterck, H. and Falgout, R. D. and Schroder, J. B.},
doi = {10.1137/24m1673310},
issn = {1095-7197},
journal = {SIAM Journal on Scientific Computing},
month = {October},
pages = {S337–S363},
publisher = {Society for Industrial & Applied Mathematics (SIAM)},
title = {Parallel-in-Time Solution of Hyperbolic PDE Systems via Characteristic-Variable Block Preconditioning},
url = {http://dx.doi.org/10.1137/24m1673310},
year = {2025},
}

@article{L2025,
author = {L, D’Amore},
doi = {10.17352/tcsit.000091},
Expand Down