Paper Citation Record · LEDGER

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions

As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.02663.

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

pith.paper-citation-record.v1
2506.02663 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:27:46.725933Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

36 of 36 outbound references displayed

verified exact2
verified fuzzy15
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c62320d9-45be-49a9-85d3-72e0467c5a43 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.308152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3416b731-6faa-47db-afcd-b2926c7c5f20 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.293327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e0044118-4509-47b5-83e3-182f41fd6bb3 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.277754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4d4576e6-c9e1-4bbe-ab45-527929e3f5b8 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.262759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 42e97af7-9e76-415d-a8f8-c2e1dff6c04f · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.246986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1136b230-302e-468f-8c9d-36fa198bb798 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.231215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 00749d01-6cd7-4b60-b538-80c2c4827731 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.216728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 763cf6f7-0a41-4e40-9374-4b4accc7b753 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.202587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6edccc8b-5519-49f3-a1fe-f2b09005348b · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.188458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e211178-333e-4607-933b-bca1e251ad82 · outbound

This paper cites Christopher, S.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Christopher, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:47.173909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9dbd241d-079a-452a-9e1c-b1dce3ffc60f · outbound

This paper cites Coquel, Q.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Coquel, Q

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:47.160131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7cfe0770-80aa-43aa-b417-6d88bbc87823 · outbound

This paper cites Cozzi and R.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Cozzi and R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:47.145414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 19ae32c9-3e71-4978-88eb-53fc6b060658 · outbound

This paper cites Emmett, E.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Emmett, E

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:47.129534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6d5c2c50-5d69-489e-b467-4b3ad13aaa5f · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.114418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60d1c498-0b5a-4ad8-afc7-a1e621113009 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.099598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6b762eee-6645-4a1b-b4e1-7dea6048ed27 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.083706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 15503719-72d2-44cf-a940-f325481b286c · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.068554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 81ce2dd7-d623-428f-966f-d34064b8f92f · outbound

This paper cites Kramer, H.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Kramer, H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:47.053096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1881c803-5ad5-42f9-afcb-09bdaa2c9086 · outbound

This paper cites GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:27:46.796593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f68a668f-a660-4157-922c-a81d1382ee48 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.037251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37a7151c-d3b0-4ed1-b927-e3576b9418e7 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:47.022155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4f433b09-c457-4b03-8638-46b375bd1865 · outbound

This paper cites McCorquodale and P.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions McCorquodale and P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:47.006943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b48eb821-d5d4-4e75-92ac-786ceca9b33f · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:46.992786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 043a1591-a7f6-4c38-a721-2da8cf161604 · outbound

This paper cites Osher and R.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Osher and R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.977954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8bf366f3-4325-47b2-94b6-895b9327f103 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:46.963395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d2561150-f991-40e0-a7a6-0e09f5d7abb7 · outbound

This paper cites Saad, Iterative Methods for Sparse Linear Systems , SIAM, Philadelphia, 2nd ed., 2003.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Saad, Iterative Methods for Sparse Linear Systems , SIAM, Philadelphia, 2nd ed., 2003

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.948715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9ca8628-5315-4379-90d8-20098c231ceb · outbound

This paper cites Shirokoff and R.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Shirokoff and R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.933734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 813658a1-6b59-4a97-a437-38e94602d060 · outbound

This paper cites A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:27:46.772990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9fe3f7c-e322-465f-a3f7-7a93b04d3a57 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:46.919293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b4e85ad2-8411-4d9c-b211-f91bd693fe34 · outbound

This paper cites an unresolved cited work.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:46.905039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57c0092c-91cd-4ab9-8ac7-8a8b71ebefaf · outbound

This paper cites Zhang, AMRCFI: A matlab package for coarse-fine interpolation in adaptive mesh refine- ment, 2011.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Zhang, AMRCFI: A matlab package for coarse-fine interpolation in adaptive mesh refine- ment, 2011

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.890343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b76b58ae-6918-472c-b255-0877dbc5b047 · outbound

This paper cites Zhang, High-order, multidimensional, and conservative coarse-fine interpolation for adap- tive mesh refinement , Comput.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Zhang, High-order, multidimensional, and conservative coarse-fine interpolation for adap- tive mesh refinement , Comput

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.875955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 310718ea-2cc9-4a93-bfa0-f373edd546a3 · outbound

This paper cites Zhang, A fourth-order approximate projection method for the incompressible Navier-Stokes equations on locally-refined periodic domains , Appl.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Zhang, A fourth-order approximate projection method for the incompressible Navier-Stokes equations on locally-refined periodic domains , Appl

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.859333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6e81974f-e7c1-4d1b-9f04-9f2b2492851d · outbound

This paper cites Zhang, GePUP: Generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions , J.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Zhang, GePUP: Generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions , J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.843127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23c43189-ebdd-4d3a-b672-38bbf8bcdd02 · outbound

This paper cites Zhang, H.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Zhang, H

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.827582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ba63f010-2c73-4a89-99a0-cd688c89b85c · outbound

This paper cites Zhang, Y.

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions Zhang, Y

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:46.812193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.