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.

pith.paper-citation-record.v1
2508.08873 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:27:18.595060Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T00:25:11.447612Z

measured 0 of 1 external citation measurements

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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.

A Parareal Algorithm with Low-Rank Coarse Solvers 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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.