Paper Citation Record · LEDGER

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2411.14977.

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

pith.paper-citation-record.v1
2411.14977 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:44:35.610479Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:53:44.016862Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:53:45.979340Z

Reference resolution

48 of 48 outbound references displayed

verified exact26
verified fuzzy5
unresolved15
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 162dee90-fd78-4aba-8e03-8f4c42c1fd69 · outbound

This paper cites Engsig-Karup, C.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Engsig-Karup, C

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T14:44:35.448127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3d5a00d-4249-472e-bec0-5525f94543db · outbound

This paper cites Ransley, S.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Ransley, S

Reference 2

Resolution: verified exact; doi, observed 2026-08-12T14:44:36.458832Z

Source-reported events for the cited work

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Observation 4f04faf2-64a1-4c57-9a98-98b6dce364d2 · outbound

This paper cites Sriram, S.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Sriram, S

Reference 3

Resolution: verified exact; doi, observed 2026-08-12T14:44:36.448352Z

Source-reported events for the cited work

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Observation 24e6ded4-0460-4c06-a354-1fc6c6e84d4b · outbound

This paper cites Osher, J.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Osher, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T14:44:35.459695Z

Source-reported events for the cited work

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Observation 775ef9ed-8a00-4690-a847-535a36d1a188 · outbound

This paper cites Grooss, J.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Grooss, J

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b913f8b9-f7b1-49b2-b38d-551658cdeaa5 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.917000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aec95811-b5d3-45a7-835e-f4964207b435 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T14:44:35.469857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47621fa9-8faf-4c11-a5c9-ebe3ffdc20b5 · outbound

This paper cites W eller, G.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves W eller, G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T14:44:35.473284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed84da57-e7be-498d-b430-68cee6387baa · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.893203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0011dc01-9087-4276-a1fe-39b16b5165d3 · outbound

This paper cites Donea, A.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Donea, A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T14:44:35.480781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2d1ae1a-f864-4680-8a62-3385c2038273 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:44:36.341173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d3318257-d4c6-44b2-9ed0-73f73ef326a6 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.876206Z

Source-reported events for the cited work

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Observation 9d86053e-9d71-4fe9-bb9f-29b7038b6aaa · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.863989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 13aff360-0d96-4cd8-9050-bdadeb9ab118 · outbound

This paper cites Decoene, J.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Decoene, J

Reference 14

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.853623Z

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Observation b65f9926-16cd-4dae-9831-0cbd0ef70d78 · outbound

This paper cites Chorin, Numerical solution of the navier–stokes equ ations, Math.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Chorin, Numerical solution of the navier–stokes equ ations, Math

Reference 15

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Observation 71c6212b-8c02-49c8-971b-af392e01bb98 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8f415f1-6494-4c85-aa1d-4b5792e228e6 · outbound

This paper cites Engsig-Karup, A.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Engsig-Karup, A

Reference 17

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Source-reported events for the cited work

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Observation 7ea32e6c-c6bb-43b9-968a-53b7bc143922 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 18

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Source-reported events for the cited work

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Observation 35276f47-2c9e-4ecb-924f-5b3548960346 · outbound

This paper cites A High-Order Hybrid-Spectral Incompressible Navier-Stokes Model For Nonlinear Water Waves.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves A High-Order Hybrid-Spectral Incompressible Navier-Stokes Model For Nonlinear Water Waves

Reference 19

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Observation 4905ce23-948d-4705-8a42-3e5750520457 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.813063Z

Source-reported events for the cited work

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Observation 23f2c8cd-c4c1-4055-a200-5bb2a94cc85c · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.802274Z

Source-reported events for the cited work

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Observation 12bf3cba-e6bb-4feb-822c-9ba8338fbb5a · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:44:36.425490Z

Source-reported events for the cited work

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Observation 9d9a02e7-e3c6-41e8-bbf5-4ffe83ce7db2 · outbound

This paper cites Klahn, P.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Klahn, P

Reference 23

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.791382Z

Source-reported events for the cited work

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Observation 81f7a682-1303-491c-8db8-63ec24ac6e60 · outbound

This paper cites Bonnefoy, G.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Bonnefoy, G

Reference 24

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.780354Z

Source-reported events for the cited work

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Observation cc93e649-add8-45dd-bdf7-ec9b83918a0b · outbound

This paper cites Melander, A.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Melander, A

Reference 25

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.770128Z

Source-reported events for the cited work

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Observation f72dafa9-76cc-4c0e-888f-d8f80d652de7 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 26

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Observation d96b1dd6-b93d-4c61-bf1b-1f8150d78fb5 · outbound

This paper cites Maday, A.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Maday, A

Reference 27

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Observation 990c3309-dcf6-4a6b-affd-34130873b678 · outbound

This paper cites Robertson, S.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Robertson, S

Reference 28

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:44:36.189554Z

Source-reported events for the cited work

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Observation d99c3a95-3657-4f41-bdde-4b8d215cdd33 · outbound

This paper cites Kreiss, J.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Kreiss, J

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21c15cbe-5e5a-40c0-8553-215d96a10e6f · outbound

This paper cites Trottenberg, C.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Trottenberg, C

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:36.404904Z

Source-reported events for the cited work

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Observation 35f6a09e-b292-4020-9ac0-d20f44c1eda5 · outbound

This paper cites Brandt, Barriers to Achieving Textbook Multigrid Eﬃ ciency (TME) in CFD, Technical Report NASA/CR-1998-207647, ICASE Interim Report No.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Brandt, Barriers to Achieving Textbook Multigrid Eﬃ ciency (TME) in CFD, Technical Report NASA/CR-1998-207647, ICASE Interim Report No

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:36.395050Z

Source-reported events for the cited work

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Observation 6c550080-c98c-4f4d-a99c-c6af85dd4802 · outbound

This paper cites Thomas, B.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Thomas, B

Reference 32

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Observation 468cf982-b99a-497c-99b0-285e70b38694 · outbound

This paper cites Engsig-Karup, H.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Engsig-Karup, H

Reference 33

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.753214Z

Source-reported events for the cited work

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Observation 01d39f57-433c-42d1-9b17-b4ffb2368baf · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.742021Z

Source-reported events for the cited work

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Observation 7d5f95f3-98b3-4b02-8728-5d3aefb9f7c9 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 35

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Observation fbbcf783-97be-433d-9139-894171193d7c · outbound

This paper cites Duarte, R.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Duarte, R

Reference 36

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.731421Z

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Observation d42bd373-e8b9-4a06-af8f-4249f0fdef9d · outbound

This paper cites Carpenter, C.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Carpenter, C

Reference 37

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Observation 2aafe38e-16d2-483f-adfc-6b7859bd1e62 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 38

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.721149Z

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Observation c2d27d37-1247-40bc-b0cd-da72f5e3bac5 · outbound

This paper cites Lottes, P.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Lottes, P

Reference 39

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.710990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a2c59bfb-34ef-4cce-b88a-3428eefb2597 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 40

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.700442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9759150f-5a32-4249-bebd-3444a072818d · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 41

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17d03ca0-6a6d-4f50-81d2-1c416033086d · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 42

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.683190Z

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Observation 8270a16b-6dae-488e-941a-8e9e324ef96c · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:44:36.363822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e472b18-3ad3-423f-a823-89f1ab3bcfcf · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 44

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.673268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 76f1e5f3-9c0f-467f-ae7f-17edeeed9433 · outbound

This paper cites Larsen, H.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Larsen, H

Reference 45

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.662380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fe903ac1-12ed-4f7b-88be-2fc6b0c5154e · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 46

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.651719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2ca334fd-8acb-4522-a029-b349ba831d91 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 47

Resolution: verified exact; doi, observed 2026-08-12T14:44:35.641060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d26eeb5c-3bdf-4bd8-a967-32dd20becad0 · outbound

This paper cites an unresolved cited work.

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:44:36.351879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation de62ea61-e582-4344-be2b-0b348c9cebdb · inbound

FNPF-SEM: A parallel spectral element model in Firedrake for fully nonlinear water wave simulations cites this paper.

FNPF-SEM: A parallel spectral element model in Firedrake for fully nonlinear water wave simulations A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves

Reference 48

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T04:53:46.061295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.