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Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 2 inbound Pith citation observations for arXiv:2602.10268.

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

pith.paper-citation-record.v1
2602.10268 v3

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:20:36.264061Z

measured 62 of 62 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:17:56.380876Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T17:56:06.558282Z

Reference resolution

60 of 60 outbound references displayed

  • verified exact19
  • verified fuzzy0
  • unresolved36
  • parse uncertain0
  • malformed identifier5
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d153351f-9113-483e-9838-3602c82d8918 · outbound

This paper cites Frisch, A.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Frisch, A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:31.521175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:31.521175Z digest=sha256:102b397f24d26c6f78fc11d066b83ff28bf912f8ade8a5b710327cc4f0ba36e8

Observation dd325ab3-052a-4c60-bf4f-2b02d4689d6a · outbound

This paper cites Constantin, C.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Constantin, C

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:31.552708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:31.552708Z digest=sha256:ecea05eb89b29c9f789ca71b30173d3ef1de5503b828ad85f47ff3592fb517d0

Observation 8c1fc6bb-4a3c-4a1a-a0d2-84d8e134ad7a · outbound

This paper cites Foias, O.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Foias, O

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:31.622696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:31.622696Z digest=sha256:a8db51f243a56e9b648eb39f0a21f8a04d6b38c2faf5971d169e554880343ec9

Observation df602a8b-e93c-4e29-9e8c-26114b5bd7f0 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:31.707978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:31.707978Z digest=sha256:b306a0454a8355847e887d0782636e9566c270b3bcfe73e0c57813fff7961337

Observation 8f81b8e4-4816-47c9-bc44-7e8a266f6766 · outbound

This paper cites Temam, Infinite-dimensional dynamical systems in mechanics and physics, Vol.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Temam, Infinite-dimensional dynamical systems in mechanics and physics, Vol

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:31.787374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:31.787374Z digest=sha256:310bcb9c6162e418e7b60895a95e70946ce29837e11037169e1d21e50f49c1f7

Observation 1001e535-2cf9-4edc-b882-126ed0173554 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-03T01:23:28.311877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:31.875749Z digest=sha256:9e1b38b74e69a5456cfd1ba062053eeb18f6fee03e455892c30e3640c1a45189

Observation ee62dfaf-779b-450c-9095-035aafd6694c · outbound

This paper cites Lubich, A.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Lubich, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:31.967241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:31.967241Z digest=sha256:bfc9b04524237755c63a692177765d0ace50ae1f4cbb6bbe826c53bd2765c782

Observation 3d814102-61cd-4222-b7cc-51a693b1becb · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-03T01:23:28.199087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.040451Z digest=sha256:458a6bc0d97b6e254baa6834648ab4ab4abf77265ca47c8e0b5f5c7363222d5c

Observation af156d8c-9986-4b7e-99db-21059fa441f3 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-03T01:23:28.138557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.132431Z digest=sha256:83c5957976016e55aa4b4368a6760aa56c20bb024e4a8e03426d91e18aff6c24

Observation a8be1725-d5bc-4e53-8bad-d23cb266c08c · outbound

This paper cites Geveci, On the convergence of a time discretization scheme for the Navier- Stokes equations, Mathematics of Computation 53 (187) (1989) 43–53.doi: 10.1090/S0025-5718-1989-0969488-5.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Geveci, On the convergence of a time discretization scheme for the Navier- Stokes equations, Mathematics of Computation 53 (187) (1989) 43–53.doi: 10.1090/S0025-5718-1989-0969488-5

Reference 10

Resolution
verified exact
doi, observed 2026-08-03T01:23:28.023723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.184814Z digest=sha256:23fa04a2da16bcd708672770ef1b27f14ff912b651c741072bebf623c36a98b0

Observation 32e4d430-e57f-4fa3-a14e-baddf288a1c3 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:32.254325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:32.254325Z digest=sha256:8c1900406d3a8faf5c00844f1bcc4898b31937ab82989d3abc0346e0ace882a7

Observation ad1ce0b0-7e94-4f16-992e-03389d1c3aa8 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.825233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.328116Z digest=sha256:f10dd3375fa90e46e30204e4073faecb2a58dbe49d4a5c251a1c6fc5643204b5

Observation 0b66a839-bb26-4383-9c5b-7ff1453b3411 · outbound

This paper cites Heister, M.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Heister, M

Reference 13

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.778130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.403690Z digest=sha256:5e51570b3c02c1e83204af6b7890c08e0842ce7e6367591529fb5f7cbf81abeb

Observation 62074b68-bb3b-4281-99b9-a8deaac639e8 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.714574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.493627Z digest=sha256:8e0ff0079a824e6844caec0d68ada2962f0b4cd94dee444f4c351e622f11c97e

Observation 30b50cc1-bade-4a0d-b385-8248b55c2d2f · outbound

This paper cites Rebholz, F.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Rebholz, F

Reference 15

Resolution
malformed identifier
no resolver link, observed 2026-08-03T01:20:32.563597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:32.563597Z digest=sha256:6e463ccc0204a42de8359176368a857b44d7aab05d2873e7e7d7234d35c1c3e1

Observation 5fd26948-177d-4689-8fd4-a6b08941efc5 · outbound

This paper cites Contri, B.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Contri, B

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:32.616823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:32.616823Z digest=sha256:b12cfcd79484ddd9d902594bcf858d11fcee3670bf99fc038cb6cae27e43fdfb

Observation 040705e8-fe1c-4e39-bf89-c7414b09e11b · outbound

This paper cites Error analysis of BDF schemes for the evolutionary incompressible Navier--Stokes equations.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Error analysis of BDF schemes for the evolutionary incompressible Navier--Stokes equations

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:32.658327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:32.658327Z digest=sha256:5ade69700be077c6053f7c1b3034b6782c6ee7c14b0ee0810e9733d08f881434

Observation a4cbd389-96d1-4743-9076-6b58e9a6d351 · outbound

This paper cites Gottlieb, F.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Gottlieb, F

Reference 18

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.643089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.725182Z digest=sha256:1333397aea9ea43b8857ac10c09b9ff9cf05dca57b739d665a959d7e0a5b7b3f

Observation 13a02b99-7ec7-4989-90dc-ed90affa08a4 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.587568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.796739Z digest=sha256:cda9b1a620ca2e5ba32f209490cd2b9e44d41cc9f4bbae3fb61c01f5e051ea91

Observation b2ea25d4-f1eb-4013-a1d4-315f67f33bb7 · outbound

This paper cites Cheng, C.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Cheng, C

Reference 20

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.490586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:32.878488Z digest=sha256:ed3052bf846d4e91989f0ccaec7da260fd8ad961e93290c0d7ae3cffd4c5777a

Observation 92a69dd2-745d-417b-aed3-ef585b82b54c · outbound

This paper cites Du, W.-x.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Du, W.-x

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:32.943683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:32.943683Z digest=sha256:bb15aea29282cd227a04d60312998605b532e764f2cb141791bdbf0cf641ab0d

Observation 0b82c009-2833-43e2-b641-41b259552dba · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.126406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.126406Z digest=sha256:0cf89bd60aeabbe9f62dd343b9fc21468ffe07ddb6fb815fc8f981b0840c36b9

Observation ba1716c6-0d5f-48b2-bfe3-1113fa05da04 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.244902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.244902Z digest=sha256:0d9aad989d1c55b1bc6fc23e71da0984eededf6a7f7796249f690801d6e55d48

Observation f054da44-7223-4c53-bee4-d5763e8b4324 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.317584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.317584Z digest=sha256:2506b9d0e0e598f15efe87343e56be9254c115ca247c7c501b7f3a379873e04c

Observation a5febbed-f3be-46b5-8a57-8dbb5983ccc1 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.403227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.403227Z digest=sha256:5f26f38c317dc480bce67cfb3c70ec07e9cf531d020f45868457cc30963156e1

Observation 20b8f1e7-f2d3-43fc-a628-66a0f400aa06 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.486461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.486461Z digest=sha256:e5a8cacee2e3363da7cdd70adcfe008601f4e1b562d68caa0728b9cc3e3cc511

Observation f365f3eb-9037-4504-8525-7bcaee9a43c8 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.528239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.528239Z digest=sha256:7593f216f03ac4edc93ec9265d1cd411c595614f75f226e09b59fd6843cb5045

Observation b3123b04-d6fb-4e76-abc8-afa47043e3d2 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.599512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.599512Z digest=sha256:2bd9f538a85aeaebfbb24a6bebcef7239ff201730bcb89eb7f9811199754f185

Observation d510256b-ae71-4f00-933b-0c684deac786 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-08-03T01:23:27.308558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:33.664638Z digest=sha256:120bf830fb9bf70d8a7c424dceb530ed22768e7fe2f6affb0bf2b80d0a0fb98c

Observation e68c76b8-dc65-49e1-8422-4da903795be2 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.725540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.725540Z digest=sha256:f4707d0658cf191c21869257ec07db155ece0c34fa42461f9e0b26d6661ad3fb

Observation 4932b450-bf59-4d33-ab67-73979012dc60 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:33.785947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:33.785947Z digest=sha256:4e54e47698769ea67b8c39e8cbd176d752288a57fc837bf4f860f021ce282b39

Observation 39a02580-b0d4-40b3-b11e-512209d034fb · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 32

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.170590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:33.869417Z digest=sha256:5a548105b7809d6c6e61cc92c89c337b0199696b5bbdd295220537f131fe761f

Observation 315b0f12-b351-40a6-9e49-95c8c4f7d3d9 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 33

Resolution
verified exact
doi, observed 2026-08-03T01:23:27.059669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:33.915539Z digest=sha256:614cf8b7e77269eedfe5b4b4fe84c24e7d163512b02305ecbc6c93c1efd63a4b

Observation 361ac241-12a8-4b3a-971f-57315badd352 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 34

Resolution
verified exact
doi, observed 2026-08-03T01:23:26.927027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:33.981191Z digest=sha256:7099dcae53407777a7513a6e80c214756a36e856390974c3e5672ed35db43a0f

Observation e38c71e2-fe8f-4d1a-8c79-c6e0da6360e8 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 35

Resolution
malformed identifier
no resolver link, observed 2026-08-03T01:20:34.043758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.043758Z digest=sha256:f0ec07aa3b6a57182da0754ecb4f2641890f318c7f0fd48651185a90df4327d5

Observation c7dca760-8189-4f0e-bee5-71c1335e69db · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.131739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.131739Z digest=sha256:b6fd9af4a3718f2351e8817e54df03fa613c387a6e1c346323b3db6f6ad5e5ae

Observation 49c3acf1-d0b6-40d4-8c30-4ecb54c064d1 · outbound

This paper cites Akrivis, B.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Akrivis, B

Reference 37

Resolution
verified exact
doi, observed 2026-08-03T01:23:26.768617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:34.197059Z digest=sha256:2335fd6deb24da4c7b011e74977b556b65706d02f6926ec46910d20886d5243c

Observation 8ae942ac-e5cc-4f27-8e37-8767971fe458 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.276334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.276334Z digest=sha256:fc5616e501e041bd4d584a44d3cb8b9b0521e15dfe6fb15bcd359950da868eab

Observation 7587397c-a10a-46a0-86a6-9a52a5b9948d · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.353268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.353268Z digest=sha256:1c91e6cf3c379e18072cdaa45760fcb6b09ecb146e3a62e4b9d789d0dbef60a3

Observation a97a7aa6-a640-436b-ad3d-0b6a649f042a · outbound

This paper cites Huang, J.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Huang, J

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.422943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.422943Z digest=sha256:9c552fce8f0416eb9efbe55ac6e352b226ba512a37211df2b3a939f30991bf72

Observation bfc23e0e-d0e4-4801-8256-ce7bafd3558a · outbound

This paper cites Huang, J.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Huang, J

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.483999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.483999Z digest=sha256:b5e3a50e42e3c434802e51285d735cc0ef4e3cfe2c2668687276dd88688ed60e

Observation 1e8bddf1-de36-4b25-943b-9125e6830f14 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.563219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.563219Z digest=sha256:8d52eede131a432ee2f3cb7415584be9a8a0e4027bd687ab3497799568f441b3

Observation 18cc442f-0a4c-42e1-b416-94015b6a8b5b · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.619221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.619221Z digest=sha256:53a1cda01d101c95c02be5a7f5dee8b460f0ea2e1efbb8ee41097e71ee779e5a

Observation 43300f56-dbe5-48d0-92ca-565e6ca94c87 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.675756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.675756Z digest=sha256:7b97deba4c930dbae3b2e183dd35de407b7d092d1ae951c8a99b878d7de50424

Observation bc553f0a-6798-4b89-bfd4-bd01cb8df39a · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 45

Resolution
verified exact
doi, observed 2026-08-03T01:23:26.613575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:34.738498Z digest=sha256:493cda9744f7a77c8c24f7752dea3a54a6a5ff6acb38e109d62b1791f8159b8a

Observation 0c1280cd-aa4d-4e1e-aeeb-8575109c86b5 · outbound

This paper cites Zhang, S.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Zhang, S

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.826047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.826047Z digest=sha256:e103b441faa2b4d99dd9e2629ccce3977c15413121f9acf92c2608c79d7a8fd0

Observation 0d326d18-6f82-497d-9c24-8583b9614e81 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.913214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.913214Z digest=sha256:166be07cc329641b79cef2c33df446b9ff80edc8daa0ba72438a83f8a1a6a5e2

Observation 04af5648-76fd-4670-aa00-7698eb377fcf · outbound

This paper cites Coleman, D.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Coleman, D

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:34.976731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:34.976731Z digest=sha256:e75976249a8fb260e124bf1afd9a580bf88bacf71f5a99d81a5a5196864748ab

Observation 6fead7ea-902e-425c-8b93-8f905725ffbd · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:35.054889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.054889Z digest=sha256:ee57943c7a7c6e9ff02a286dee7945043ad53521305d061e6f83488288ad8837

Observation fcdb9326-a54a-4803-ab73-12f8ae5a95b0 · outbound

This paper cites Huang, J.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Huang, J

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:35.112111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.112111Z digest=sha256:b68dd10930a6116e717d03508dde13eeb1652fcf1a5a590e2ba380c8bc96ac38

Observation 0c3e5234-4f44-44b2-916d-34d0e88b5960 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 51

Resolution
malformed identifier
no resolver link, observed 2026-08-03T01:20:35.223340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.223340Z digest=sha256:dcdd5d55c5d9296f86948bf254b4831f1f6631575631b4a2959608e8cbf1c365

Observation 109cb0b1-7287-4289-9108-566fcb480b93 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 52

Resolution
malformed identifier
no resolver link, observed 2026-08-03T01:20:35.341312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.341312Z digest=sha256:4328ffcfccc01490729f8b61e3500e4ccd61411c1e1928e84f5c9948ee986bdb

Observation f80d8549-9562-4647-973c-00c33114ef46 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 53

Resolution
verified exact
doi, observed 2026-08-03T01:23:26.394461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:35.458473Z digest=sha256:ac39c5c7ec7517b39b2880528ccafed5dae9b6a0f380fb7aa2b9760e9de857ba

Observation b9d4b46a-7d2d-4281-ae77-5af46d29e3f6 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:35.590788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.590788Z digest=sha256:9395d91ed797b2db2236285871717d69373ce0d920f2056814a43e15d3ca5662

Observation 44a1f620-467e-4a42-a5cc-ac0caa03528b · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:35.698841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.698841Z digest=sha256:be7d847a9ed940ebcad104013650bafcc45c0fa29164cc528e1c293df6c8f383

Observation 199a3c42-8261-4787-afd4-d032e3221d85 · outbound

This paper cites DeCaria, M.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE DeCaria, M

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:35.816016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.816016Z digest=sha256:975a4ad7ada8937f31e87b60c1cef8bc435f5357c1355dd949107aa8d50f27c4

Observation 8389f92d-cda4-4b48-afe0-c11bda872247 · outbound

This paper cites Hairer, G.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Hairer, G

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-03T01:20:35.900987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:35.900987Z digest=sha256:b1e417627a6492d26428084e028b002369f4d6f1a3660a1d7141c0b3688b3d9a

Observation 94c5d5ca-c49a-49da-aff3-a5ecb2bd6105 · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 58

Resolution
verified exact
doi, observed 2026-08-03T01:23:26.254939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:36.009618Z digest=sha256:4deedf53f52e31892587f8c10ecd82640f2b2d18926f8de0a61027d48d2e5e75

Observation 3ce0f1e4-5a44-43cc-85f3-7ffd4c9c87ab · outbound

This paper cites an unresolved cited work.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Unresolved cited work

Reference 59

Resolution
malformed identifier
no resolver link, observed 2026-08-03T01:20:36.137194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:20:36.137194Z digest=sha256:342a130827d24f10753a3b598aa03444df692b75e9fe4c23e0a1dfe0b86476fe

Observation 7ccd83eb-92b1-4a8c-a09f-5865ed5587e3 · outbound

This paper cites Armbruster, B.

Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE Armbruster, B

Reference 60

Resolution
verified exact
doi, observed 2026-08-03T01:23:26.135594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-03T01:20:36.264061Z digest=sha256:ce1555040e7b3c0a869bb466625221832b8c3b0c502c6e97e8b076d1c0004007

Pith citing papers

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

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

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-08T16:55:54.607480Z digest=sha256:3b4563873225a86249bf3f0231ac3a40a2a9ce50da5eee44434f7416576af24f

Observation 6001df67-26de-41ab-b0dc-a9c6fb56e4fa · inbound

A Linear Variable-Step Embedded ETD Scheme with Uniform-in-Time Stability for the 2D Navier--Stokes Equations cites this paper.

A Linear Variable-Step Embedded ETD Scheme with Uniform-in-Time Stability for the 2D Navier--Stokes Equations Unconditionally Long-Time Stable Variable-Step Second-Order ETD Schemes for the 2D Periodic Incompressible NSE

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T19:17:56.380876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:17:56.380876Z digest=sha256:b8b17d371a6030aa827123cf90f3a67dea3d1ad7ae7344fd48e97db4401c6a1b