Paper Citation Record · LEDGER

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.08505.

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

pith.paper-citation-record.v1
2608.08505 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:48:29.439818Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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 exact1
verified fuzzy21
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 350ba60b-910b-4108-9383-d680d213257d · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.701138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b8bfc82a-2fd1-494d-a968-60ecaa009aca · outbound

This paper cites Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:48:29.541861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f0441d9a-17b7-4342-b6d4-4f3df9e3c8f4 · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.690289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bf5fc65c-abc7-4f25-8c87-a5ee2f33a554 · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.593979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation eff12b0c-a9bd-49dd-9a08-0f6938b71298 · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.487278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b5e2704d-9c8a-43fc-b69b-5ac73be97b85 · outbound

This paper cites Robusttreatmentofcross-pointsinoptimizedSchwarzmethods.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Robusttreatmentofcross-pointsinoptimizedSchwarzmethods

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:31.476042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1e191834-ecd3-457e-a95e-e7c8da3e351c · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.399703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df7a4cf8-54c0-498b-a694-906644e9778d · outbound

This paper cites Dolean, P.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Dolean, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:31.276066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 56e22c88-b74c-468c-b64c-63aede728017 · outbound

This paper cites Eiermann and O.G.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Eiermann and O.G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:31.266410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b4f8a09b-ff98-4f9e-8e0e-2eab3120047c · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.256492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9e5f9bd0-5274-46b1-a3d8-403e7f5ae43d · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:31.195367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bb487a71-481c-4f14-9380-024e55bce4c0 · outbound

This paper cites Farhat, P.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Farhat, P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:31.031598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f8882c88-9f34-4b81-ade7-d81e605538d3 · outbound

This paper cites Farhat, A.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Farhat, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:31.017943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c66a607-6843-4228-983a-c8313b2f3db1 · outbound

This paper cites Farhat, A.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Farhat, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.929876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 017160be-cd33-455b-9d27-25b1accda29f · outbound

This paper cites Golub and C.F.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Golub and C.F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.817856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation afab0699-e785-4c35-a286-24b300747622 · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:30.806144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 154687cc-fc43-4b38-b09b-aa27f57834d2 · outbound

This paper cites Liesen and Z.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Liesen and Z

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.683176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bbfac990-c148-42db-996f-3e52f5934d7e · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:30.591757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation db1975c8-d871-4625-ad2f-7e95177c7baa · outbound

This paper cites Two-level Restricted Additive Schwarz preconditioner based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Two-level Restricted Additive Schwarz preconditioner based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T04:48:29.157779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6462844b-b4d8-44ca-816b-e6f46cfdc33f · outbound

This paper cites Ma and Y.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Ma and Y

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.579146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ff3efacd-e0dd-4530-be6a-03de547d27b8 · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:30.567565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 017b7ee6-35ba-4729-b85e-e63dc0a2e84a · outbound

This paper cites Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T04:48:29.169146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31bf7b6b-9766-40d4-88a9-190cc6cc500c · outbound

This paper cites Netrusov and Y.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Netrusov and Y

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.411912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 45e9d470-9b9c-4a47-b6fd-abca98ed386d · outbound

This paper cites Nevanlinna.Convergence of iterations for linear equations.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Nevanlinna.Convergence of iterations for linear equations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.344652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 66976c96-5a82-465b-acd9-ee4564c4501a · outbound

This paper cites Pechstein.Finite and boundary element tearing and interconnecting solvers for mul- tiscale problems, volume 90 ofLecture Notes in Computational Science and Engineering.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Pechstein.Finite and boundary element tearing and interconnecting solvers for mul- tiscale problems, volume 90 ofLecture Notes in Computational Science and Engineering

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.332820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ce44914b-d01c-4431-ae1a-a7647f7d5e93 · outbound

This paper cites Compactnon-self-adjointoperators.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Compactnon-self-adjointoperators

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.320693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a4220bd8-705b-4213-aa6b-03cb2fbdf6aa · outbound

This paper cites Rozenblum.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Rozenblum

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.224766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8b99ce59-1437-4cd9-9b38-74ca19de6a47 · outbound

This paper cites Rudin.Real and complex analysis.New York, NY: McGraw-Hill, 3rd ed.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Rudin.Real and complex analysis.New York, NY: McGraw-Hill, 3rd ed

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T04:48:29.283371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6e98ecf-f31d-42b4-bf90-12ffc7ba7dff · outbound

This paper cites Rudin.Functional analysis.New York, NY: McGraw-Hill, 2nd ed.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Rudin.Functional analysis.New York, NY: McGraw-Hill, 2nd ed

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.207008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 535cc609-c2f9-44ce-b584-9ff70e723f9f · outbound

This paper cites Saad.Iterative Methods for Sparse Linear Systems.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Saad.Iterative Methods for Sparse Linear Systems

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.125791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e308a332-bb44-42f0-bf2e-c5fc3641e2d8 · outbound

This paper cites Saad and M.H.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Saad and M.H

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.050693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d35c7009-26ae-4583-b458-81202e2f3155 · outbound

This paper cites Spillane, V.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Spillane, V

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:30.002156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9139e483-29b6-4d69-96c5-75c7a289019e · outbound

This paper cites Fast-convergenttwo-levelrestrictedadditiveSchwarz methods based on optimal local approximation spaces.SIAM J.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Fast-convergenttwo-levelrestrictedadditiveSchwarz methods based on optimal local approximation spaces.SIAM J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:29.911442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 91dc5822-13cb-4b56-a9f5-f3ccc10abacd · outbound

This paper cites Toselli and O.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Toselli and O

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:29.834514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c99bcff-98bb-4645-9188-8feed7a1a2ac · outbound

This paper cites an unresolved cited work.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:48:29.750398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aea2046a-465e-4a5c-ba3a-5277048c80ed · outbound

This paper cites Woodbury.Inverting modified matrices.

Coarse space preconditioning for Generalized Optimized Schwarz Methods. Part I: continuous case Woodbury.Inverting modified matrices

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:48:29.655915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.