Paper Citation Record · LEDGER

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 2 inbound Pith citation observations for arXiv:2506.05886.

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

pith.paper-citation-record.v1
2506.05886 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:27:48.063488Z

measured 32 of 32 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:52:44.513907Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T19:03:08.666613Z

Reference resolution

30 of 30 outbound references displayed

verified exact1
verified fuzzy16
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cfa1e792-8f9d-4d66-bca3-464c27bd2df4 · outbound

This paper cites Abdulle and P.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Abdulle and P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:51.057506Z

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 0e32be0c-d8fb-4ce4-8573-e7d0b62fdbd9 · outbound

This paper cites Anselmann and M.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Anselmann and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:51.050261Z

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 e967a376-a72b-4ae0-b3f4-36df003ec256 · outbound

This paper cites Anselmann, M.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Anselmann, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:51.043387Z

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 ea9318b1-3576-45b0-a7fd-276fbdfe49de · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:51.036365Z

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 68095e1f-ee97-4953-b618-d9d7b91f4c1a · outbound

This paper cites Bales and I.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Bales and I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:51.029458Z

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 032d2d1e-bab7-430b-89fa-cc2dac30d473 · outbound

This paper cites Bignardi and A.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Bignardi and A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T10:27:46.015576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3c13208-f8dc-4c3b-8b8c-7c1231fa07fc · outbound

This paper cites Demkowicz, J.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Demkowicz, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:51.023379Z

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 6ed56869-2c6d-4814-8a47-eb0d4df000b8 · outbound

This paper cites A priori and a posteriori error estimates of a $\mathcal C^0$-in-time method for the wave equation in second order formulation.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation A priori and a posteriori error estimates of a $\mathcal C^0$-in-time method for the wave equation in second order formulation

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:27:46.277750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8e29ca1-d485-4cf7-97b5-125e3368b9fc · outbound

This paper cites Ern and J.-L.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Ern and J.-L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:51.016496Z

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 3db10e1d-8b94-4eb8-b790-fff4298c1c83 · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:51.009795Z

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 d650da99-3898-4c12-902f-885a70df0279 · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:50.881929Z

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 48e85c6c-0231-44b0-8184-6f44e8bcf70c · outbound

This paper cites Ferrari and S.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Ferrari and S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T10:27:46.650595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1edaed52-34b8-45f8-a95d-a7ac709d4c12 · outbound

This paper cites Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:27:46.726555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 742102d0-2e80-4db9-a632-8eecb13fa2a4 · outbound

This paper cites Ferrari, R.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Ferrari, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:50.804350Z

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 1207134b-84ea-424e-bd2a-2ed91ea9a794 · outbound

This paper cites Intrinsic unconditional stability in space-time isogeometric approximation of the acoustic wave equation in second-order formulation.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Intrinsic unconditional stability in space-time isogeometric approximation of the acoustic wave equation in second-order formulation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T10:27:46.968895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e67a6a2-ced0-4622-aa85-d607a2801e7a · outbound

This paper cites Fraschini, G.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Fraschini, G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:50.561824Z

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 23683bcb-1d4d-4471-ade5-f06651e8a904 · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:50.294606Z

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 fcda95f5-b24b-40a6-af8c-be671f7f0e85 · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:50.017973Z

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 b014a983-2275-430b-b05e-b0b92a42c7b8 · outbound

This paper cites F¨ uhrer, R.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation F¨ uhrer, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:49.883965Z

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 723797a6-b47d-4ed9-8b57-b1fdc054c3b9 · outbound

This paper cites A variational approach to the analysis of the continuous space-time FEM for the wave equation.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation A variational approach to the analysis of the continuous space-time FEM for the wave equation

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:27:48.240925Z

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 4bacb995-c06a-405a-9563-d68180b2c8f6 · outbound

This paper cites Henning, D.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Henning, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:49.787529Z

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 2af53936-6104-47fb-bd84-c0bc79a76097 · outbound

This paper cites Adaptive least-squares space-time finite element methods.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Adaptive least-squares space-time finite element methods

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:27:47.540244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3d01125-a70e-4133-9784-cdf3d9c8c127 · outbound

This paper cites Lions and E.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Lions and E

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:49.616524Z

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 1a920cd6-83ba-4a0b-8323-4099d266e23c · outbound

This paper cites L¨ oscher, O.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation L¨ oscher, O

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:49.458265Z

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 8c41b563-38d2-467b-b91f-dbd5a65901fe · outbound

This paper cites Lyche, C.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Lyche, C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:49.264755Z

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 16ff43ff-f4ab-42af-942c-f54201042d33 · outbound

This paper cites Steinbach.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Steinbach

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:49.110376Z

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 b1bab8cb-a47e-42ab-9157-8ae6009b7ed7 · outbound

This paper cites Steinbach and M.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Steinbach and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:48.964273Z

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 f676d3c5-ad07-4c14-8310-4ef6988f916f · outbound

This paper cites Steinbach and M.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Steinbach and M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:27:48.816939Z

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 27b434d8-86e1-4f74-90d8-20c957b5ed76 · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:48.662332Z

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 a6d46f15-7e72-445a-afe6-c96e1b5a7b60 · outbound

This paper cites an unresolved cited work.

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:27:48.538185Z

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

Observation f440cb83-6758-4953-a183-32f7ddd37531 · inbound

Paving the way to a $\operatorname{T}$-coercive method for the wave equation cites this paper.

Paving the way to a $\operatorname{T}$-coercive method for the wave equation Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T11:52:44.513907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c12350a2-259e-40e0-86b5-733056393b5d · inbound

An unconditionally stable space-time isogeometric method for a biharmonic wave equation cites this paper.

An unconditionally stable space-time isogeometric method for a biharmonic wave equation Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-13T19:03:08.668015Z

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.