Paper Citation Record · LEDGER

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations

As of 22 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2605.04455.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.04455 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T16:55:54.607480Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

verified exact2
verified fuzzy21
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20b0f306-7db4-4769-9a17-f69b5d919047 · outbound

This paper cites Akbas, S.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Akbas, S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.812386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f8df537e-5e0c-43ba-8f4f-7b680ad13ff6 · outbound

This paper cites Akbas Belenli, L.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Akbas Belenli, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.744569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0a3c7229-b942-4198-8f9b-83d8dd707497 · outbound

This paper cites Breckling and S.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Breckling and S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.836988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f8e63e81-0e8e-45a0-b7bd-fbcfb846d192 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.732633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0fb52b91-1b21-4357-9996-af82301206a6 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.714913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7a236e28-bb5d-4115-a395-c0dff9dbf65a · outbound

This paper cites Cheng and C.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Cheng and C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.857571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 753cbd8b-98dd-4258-9db4-9a467254f099 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.877831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3e79b63a-32d5-4544-84d4-ce5e7059f839 · outbound

This paper cites Foias, O.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Foias, O

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.865708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 96e2e6c2-82dd-455f-94ac-75f5551217d4 · outbound

This paper cites Formaggia, A.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Formaggia, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.775218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 11b06d08-8cee-482e-aa88-abf6ac1ce668 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.804794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b2b840cd-6c0c-4386-9251-774977f11fbf · outbound

This paper cites Gottlieb, F.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Gottlieb, F

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.788276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 029f1c6a-6d80-498f-959f-982c441fbe25 · outbound

This paper cites Grisvard.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Grisvard

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.765563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 21513a8a-c531-4971-a225-9fd6c273a286 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.840981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2f351354-999c-480d-9674-445c8f86b8b7 · outbound

This paper cites Heister, M.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Heister, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.820411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 634346fc-ad41-46c5-8efe-fec3fe7b4486 · outbound

This paper cites in the large.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations in the large

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.779266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d1ca482c-6d5f-47dd-ab50-b6c4ab7f537d · outbound

This paper cites in the large.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations in the large

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.828246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ae7e05ad-7e17-4d5d-9e5e-6dd32976c549 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.736502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dba567af-77d4-4eba-a04a-96a972009238 · outbound

This paper cites Layton, W.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Layton, W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.720658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 20ab9be5-8237-484d-ac58-45b37efc6ef0 · outbound

This paper cites Layton, W.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Layton, W

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.705340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 203005cd-7467-45fe-b9da-3fa223347fcf · outbound

This paper cites Layton, W.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Layton, W

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.816446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5e70c653-4d75-4ce2-8e58-0dc0f9e62840 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.824194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cd43ee1b-c8e9-460e-bb91-8f3030639956 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.800087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2eb17063-4ca9-4543-918b-18e19e5cd938 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.761484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 39b9b7b3-4fac-48ab-8473-6ed818e8e402 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.844889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 040b4875-d9b4-4fa5-90e3-a7b82739f6d9 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.752819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d52dab40-5d89-46f7-a645-4c198460d6ed · outbound

This paper cites Rebholz and F.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Rebholz and F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.869853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 645f0fb4-c9cf-40b1-b507-92fefa475b7f · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:56:06.564640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b3c0614d-cb00-4033-b24f-75f23b227b6c · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.710404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 906b63dd-d9a2-4ed8-8677-8d08103af85a · outbound

This paper cites Siddiqua and W.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Siddiqua and W

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.770228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 78b1dfbe-4c0c-4b21-a26c-ccdfaa779aca · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.748933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 979f9fba-b273-47cd-bf0e-0b84d0c7014c · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.740384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e15fb713-c424-456d-acb6-5a41cec33eb5 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.873768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f403b211-3ad4-4601-b658-23d386667d4d · outbound

This paper cites Tone and D.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Tone and D

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.832568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9d7feeed-8cd9-421d-a809-10f4b91a646d · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.796105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d62b078a-08ab-4ef1-ba53-bdab1956a381 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.808798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 59a0e871-5e1a-4f0f-bac9-b0525262eb0e · outbound

This paper cites Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:18.390639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3bf06c2b-fd92-4958-99aa-1a786d3e466f · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.783484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 74723858-88fc-4f9b-bab8-856525e17c02 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.792011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 50c15bed-f023-4ae5-9b29-10893655662d · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.757546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 03d1e644-22fa-434f-a19d-001a856201d7 · outbound

This paper cites an unresolved cited work.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-05-26T09:02:00.724512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d7256522-f537-4268-b3e3-3997d5d43bd7 · outbound

This paper cites Xie and K.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Xie and K

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.853526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7e7c8bb5-3c39-4baf-b614-8ec16f97182d · outbound

This paper cites Zhang and J.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Zhang and J

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.861932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f88be4f1-ea3a-485c-bd03-90c4eabbd735 · outbound

This paper cites Zheng, Q.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Zheng, Q

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.728596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 562feb34-e100-4cc9-bb42-0ecfef5890d6 · outbound

This paper cites Zheng, X.

Long-time $L^2$&$H^1$-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations Zheng, X

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T09:02:00.849419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.