Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T21:27:18.595060Z
Paper Citation Record · LEDGER
A Parareal Algorithm with Low-Rank Coarse Solvers
As of 10 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2508.08873.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T00:25:11.447612Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
34 of 34 outbound references displayed
- verified exact15
- verified fuzzy2
- unresolved11
- parse uncertain0
- malformed identifier4
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2da71725-f69c-4576-a825-f29d3ed489ba · outbound
This paper cites Multi-step variant of the parareal algorithm: convergence analysis and numerics.
A Parareal Algorithm with Low-Rank Coarse Solvers Multi-step variant of the parareal algorithm: convergence analysis and numerics
Reference 1
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T21:27:19.325300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 02f01467-785b-41ab-afd1-592920e8c843 · outbound
This paper cites Model reduction of parametrized systems , volume 17 of MS&A.
A Parareal Algorithm with Low-Rank Coarse Solvers Model reduction of parametrized systems , volume 17 of MS&A
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.939397Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 159c8fd0-3169-43fd-a983-1f75ea9a7501 · outbound
This paper cites Localized model reduction for parameterized problems.
A Parareal Algorithm with Low-Rank Coarse Solvers Localized model reduction for parameterized problems
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.923570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a6c5aa38-be38-4a90-ab05-88bae9d824d0 · outbound
This paper cites Randomized local model order reduction.
A Parareal Algorithm with Low-Rank Coarse Solvers Randomized local model order reduction
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.907126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ebcc69a7-59cc-4211-b6ba-628776efa1c7 · outbound
This paper cites Gander, and Bart Vandereycken.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander, and Bart Vandereycken
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.887707Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c69b9c6c-fb81-4698-a267-e65bfec18795 · outbound
This paper cites Hesthaven, and Xueyu Zhu.
A Parareal Algorithm with Low-Rank Coarse Solvers Hesthaven, and Xueyu Zhu
Reference 6
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-05T21:27:19.416745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d3abf81f-25a4-4611-89ae-6c4d22bcc3d0 · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.482644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e59cc1e-ffd1-42a0-9389-df81f31a8a48 · outbound
This paper cites Time- parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses.
A Parareal Algorithm with Low-Rank Coarse Solvers Time- parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.870195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0b4749e0-cab8-467b-b02b-c9e5282c478e · outbound
This paper cites Gander and M.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander and M
Reference 9
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-05T21:27:18.853000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 75f2a997-e8c3-40cc-8155-424673bec720 · outbound
This paper cites Gander and Ernst Hairer.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander and Ernst Hairer
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.835150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 97a7e7ec-60a9-470f-9b24-dfbc5b8bc106 · outbound
This paper cites Gander and Ernst Hairer.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander and Ernst Hairer
Reference 11
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.818392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4481add2-4fc0-450a-97e3-50eafe4eee78 · outbound
This paper cites Gander and Thibaut Lunet.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander and Thibaut Lunet
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.503631Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e235bbe1-fde0-4cf4-b444-9353e373cd96 · outbound
This paper cites Gander, Thibaut Lunet, Daniel Ruprecht, and Robert Speck.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander, Thibaut Lunet, Daniel Ruprecht, and Robert Speck
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.791783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c666154f-0e3a-4c3b-9ac5-fa78f628a752 · outbound
This paper cites A Parareal algorithm without Coarse Propagator?.
A Parareal Algorithm with Low-Rank Coarse Solvers A Parareal algorithm without Coarse Propagator?
Reference 14
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-05T21:27:19.151583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bdc643fb-fdf6-4d10-bbec-cce8e653b1ca · outbound
This paper cites Gander and Stefan Vandewalle.
A Parareal Algorithm with Low-Rank Coarse Solvers Gander and Stefan Vandewalle
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T21:27:19.400659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b883d4cc-a830-4013-a427-8330b3d0d311 · outbound
This paper cites Hirstoaga, Van-Thanh Nguyen, and Julien Salomon.
A Parareal Algorithm with Low-Rank Coarse Solvers Hirstoaga, Van-Thanh Nguyen, and Julien Salomon
Reference 16
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-05T21:27:19.127431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cabd58e4-215f-411f-a259-ae792f130e0b · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 17
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-05T21:27:18.529308Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c5ee8d0-e8b9-44e0-ad80-4561a4460784 · outbound
This paper cites Halko, P.
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.533243Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c759976-1074-41a0-9354-b93230459ea0 · outbound
This paper cites The reduced basis technique as a coarse solver for parareal in time simulations.
A Parareal Algorithm with Low-Rank Coarse Solvers The reduced basis technique as a coarse solver for parareal in time simulations
Reference 19
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T21:27:19.042423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f7febb6d-2b03-45a1-b285-3ec81ced1362 · outbound
This paper cites Hesthaven, Gianluigi Rozza, and Benjamin Stamm.
A Parareal Algorithm with Low-Rank Coarse Solvers Hesthaven, Gianluigi Rozza, and Benjamin Stamm
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.540862Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd1e3707-6782-4442-8cfe-992b12219399 · outbound
This paper cites Optimizing coarse propagators in parareal algo- rithms.
A Parareal Algorithm with Low-Rank Coarse Solvers Optimizing coarse propagators in parareal algo- rithms
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.735239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation db15cbc7-6293-45f6-a2b5-2cef7704cf02 · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.548682Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08caa5ac-979a-4b3d-b16d-f051d7c0fbeb · outbound
This paper cites R´ esolution d’edp par un sch´ ema en temps parar´ eel.Comptes Rendus de l’Acad´ emie des Sciences-Series I-Mathematics, 332(7):661–668, 2001.
A Parareal Algorithm with Low-Rank Coarse Solvers R´ esolution d’edp par un sch´ ema en temps parar´ eel.Comptes Rendus de l’Acad´ emie des Sciences-Series I-Mathematics, 332(7):661–668, 2001
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.552493Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3bf0038-974d-4453-8536-ed0850e28ac4 · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 24
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-05T21:27:19.385686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d1aa9cc8-1e07-44c0-a444-8a4d23e57f70 · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T21:27:19.370328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3f2cbf75-3ffb-4854-800e-bd0f640a5cf6 · outbound
This paper cites Reduced basis methods for partial differential equations , volume 92 of Unitext.
A Parareal Algorithm with Low-Rank Coarse Solvers Reduced basis methods for partial differential equations , volume 92 of Unitext
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.569952Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 009f4d53-d195-4903-9151-b4da3404d440 · outbound
This paper cites A parareal algorithm with spectral coarse solver (supplement).
A Parareal Algorithm with Low-Rank Coarse Solvers A parareal algorithm with spectral coarse solver (supplement)
Reference 27
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.679623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5db98d48-4a13-4f46-b54d-30b983c99a02 · outbound
This paper cites Optimal local approximation spaces for parabolic problems.
A Parareal Algorithm with Low-Rank Coarse Solvers Optimal local approximation spaces for parabolic problems
Reference 28
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.664738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4d615ce4-24e6-4369-a751-caf8a8f5f8d7 · outbound
This paper cites Randomized quasi-optimal local approximation spaces in time.
A Parareal Algorithm with Low-Rank Coarse Solvers Randomized quasi-optimal local approximation spaces in time
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T21:27:19.353118Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 005baeca-c5f7-4fc3-87e5-716377296941 · outbound
This paper cites Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, St´ efan J.
A Parareal Algorithm with Low-Rank Coarse Solvers Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, St´ efan J
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.591009Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef0762cf-448e-494d-b294-7235fc6e42de · outbound
This paper cites Toward parallel coarse grid correction for the parareal algorithm.
A Parareal Algorithm with Low-Rank Coarse Solvers Toward parallel coarse grid correction for the parareal algorithm
Reference 31
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.633502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2bf0b9ac-6183-4dfd-bcae-cb10b4f0ec89 · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 2007
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.520475Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b7fb92cd-8604-44a6-9b5d-484dea9dcdf3 · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 2016
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:27:18.565053Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ec69c3d-c3f4-4973-b8a8-7418f795702a · outbound
This paper cites an unresolved cited work.
A Parareal Algorithm with Low-Rank Coarse Solvers Unresolved cited work
Reference 2023
- Resolution
- verified exact
- doi, observed 2026-08-05T21:27:18.649421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation 750fe58f-5abb-4a28-9d72-dcf74c589473 · inbound
A parallel-in-time Newton's method-based ODE solver cites this paper.
A parallel-in-time Newton's method-based ODE solver A Parareal Algorithm with Low-Rank Coarse Solvers
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T00:25:11.447612Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.