Paper Citation Record · LEDGER

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems

As of 7 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2505.22656.

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

pith.paper-citation-record.v1
2505.22656 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:10:51.945767Z

measured 47 of 47 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:10:45.108605Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:10:58.774429Z

Reference resolution

46 of 46 outbound references displayed

verified exact21
verified fuzzy8
unresolved12
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External citation measurements

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Outbound references

Observation 3ec468cd-5c42-44bc-b9d1-44b9e3ff61cd · outbound

This paper cites Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:10:58.877340Z

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

Observation a04b06c1-43c8-45d6-9fb3-d44d129b7ce2 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:11:02.958409Z

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Observation 24d9f1d2-473f-44f7-a97e-d40cc3bed7ab · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:11:02.811914Z

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Observation 565d3128-266f-4b88-a29c-8afda342edb6 · outbound

This paper cites In this section, we show that our scheme can be also used to compute the interface problem: Ut + AUx = 1 ǫ(x) QU, x ∈ R.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems In this section, we show that our scheme can be also used to compute the interface problem: Ut + AUx = 1 ǫ(x) QU, x ∈ R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:11:02.594807Z

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Observation f011bd81-9bb8-4d31-9f55-5962f02a2788 · outbound

This paper cites Example 1 (Linear Jin-Xin model): In this numerical experiment, we check the validity of the boundary AP scheme by showing the convergence rate.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Example 1 (Linear Jin-Xin model): In this numerical experiment, we check the validity of the boundary AP scheme by showing the convergence rate

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:11:02.384268Z

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Observation 86ecd7b9-a68c-46ea-847d-8c6c93995609 · outbound

This paper cites Bal and Y.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Bal and Y

Reference 6

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Observation f7f58781-afa5-4717-b30b-dd1ad130dff2 · outbound

This paper cites Bensoussan, J.-L.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Bensoussan, J.-L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:46.064800Z

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Observation bb22d4bf-2522-4b38-bfe7-cbf77091f79b · outbound

This paper cites Benzoni-Gavage and D.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Benzoni-Gavage and D

Reference 8

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Observation 58c66ab4-1cc6-43c9-875e-f136412ca0fa · outbound

This paper cites Degond and F.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Degond and F

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T13:10:56.222661Z

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Observation 90fbba95-8501-47f1-9a9f-9ea6c1659e15 · outbound

This paper cites Borsche and A.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Borsche and A

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T13:10:57.492025Z

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Observation ec95c6ad-485e-4950-af3d-8bafdf61f48f · outbound

This paper cites Borsche and A.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Borsche and A

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T13:10:57.178861Z

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Observation 1b2022fc-61fc-40fe-888d-3ac76c37b79b · outbound

This paper cites Bourgat, P.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Bourgat, P

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T13:10:56.871938Z

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Observation 023b3c36-9cd3-411a-b357-5114bc90be05 · outbound

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Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 13

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Observation 3dbcd72c-6051-42b0-bfed-730e13e8d004 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T13:10:56.501538Z

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Observation 549e2a3f-62db-4063-9b71-b17215f7100a · outbound

This paper cites Huang, R.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Huang, R

Reference 15

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Observation 8e808405-083a-49b2-a334-d0cc61f7347c · outbound

This paper cites Filbet and S.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Filbet and S

Reference 16

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Source-reported events for the cited work

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Observation b652e1ed-2897-472f-a878-548aa7127992 · outbound

This paper cites Gatignol , Th´ eorie cin´ etique des gaz ` a r´ epartition discr` ete de vi tesses, vol.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Gatignol , Th´ eorie cin´ etique des gaz ` a r´ epartition discr` ete de vi tesses, vol

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:11:01.062427Z

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Observation 1f88f675-32d1-4f8f-8a51-7ce8ef0220a6 · outbound

This paper cites Giovangigli and M.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Giovangigli and M

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T13:10:55.985981Z

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Observation 0c6f24cd-903b-4d45-9e3f-8fe581b3508f · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 19

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Observation 1d82cc5f-4344-464e-8892-b9ecceb23fe3 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:11:00.857028Z

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Observation 6b443d7c-8ed7-4b57-9732-f6edebdb626a · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T13:10:54.774611Z

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 b0d4ae0e-c893-4bb1-89b7-148247fb1c73 · outbound

This paper cites Jin , Runge-Kutta methods for hyperbolic conservation laws with stiﬀ relaxation terms , J.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Jin , Runge-Kutta methods for hyperbolic conservation laws with stiﬀ relaxation terms , J

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-07T13:10:58.597365Z

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Observation 1dd3bc34-9378-4588-b95e-b5f15210ec7c · outbound

This paper cites Jin , Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review, Riv.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Jin , Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review, Riv

Reference 23

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Observation 24d6e229-6f92-413e-a4b2-7b4be01529c8 · outbound

This paper cites Jin , Asymptotic-preserving schemes for multiscale physical pr oblems, Acta Numer., 31 (2022), pp.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Jin , Asymptotic-preserving schemes for multiscale physical pr oblems, Acta Numer., 31 (2022), pp

Reference 24

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Observation a1af0666-5a21-4c57-abb8-e722a16f44d4 · outbound

This paper cites Jin, J.-G.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Jin, J.-G

Reference 25

Resolution: verified exact; doi, observed 2026-08-07T13:10:55.325307Z

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Observation 4bb93db0-34e7-48ed-8d2e-55d99d436bf1 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-08-07T13:10:55.016423Z

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Observation bc8e8ccb-8f5b-489c-8447-6ffa8ebd2f40 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 27

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Observation b317c8b1-3fdb-4858-bce2-4a214891b6e9 · outbound

This paper cites Kato , A short introduction to perturbation theory for linear oper ators, Springer-Verlag, New York-Berlin, 1982.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Kato , A short introduction to perturbation theory for linear oper ators, Springer-Verlag, New York-Berlin, 1982

Reference 28

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Observation 81f64fda-9723-47ee-a92c-03e70b3afa3b · outbound

This paper cites Klar , Convergence of alternating domain decomposition schemes f or kinetic and aerody- namic equations , Math.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Klar , Convergence of alternating domain decomposition schemes f or kinetic and aerody- namic equations , Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:10:59.685997Z

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Observation c75be5c3-591c-44eb-a238-3b1868d73ea1 · outbound

This paper cites Klar , An asymptotic-induced scheme for nonstationary transport equations in the diﬀu- sive limit , SIAM J.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Klar , An asymptotic-induced scheme for nonstationary transport equations in the diﬀu- sive limit , SIAM J

Reference 30

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Observation e05696e4-9904-4ba0-8862-2f80df235aa5 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-08-07T13:10:54.415325Z

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Observation bf0cdc88-3686-45e3-8248-3657d12e85b1 · outbound

This paper cites Lemou and L.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Lemou and L

Reference 32

Resolution: verified exact; doi, observed 2026-08-07T13:10:54.074858Z

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Observation e5baa872-c4ee-462c-a664-10e31b5bbe03 · outbound

This paper cites Xin and W.-Q.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Xin and W.-Q

Reference 33

Resolution: malformed identifier; no resolver link, observed 2026-08-07T13:10:51.404820Z

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Observation b1a623d1-e16a-4131-b019-88bda8ee07c2 · outbound

This paper cites Mieussens , Discrete-velocity models and numerical schemes for the Bol tzmann-BGK equa- tion in plane and axisymmetric geometries , J.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Mieussens , Discrete-velocity models and numerical schemes for the Bol tzmann-BGK equa- tion in plane and axisymmetric geometries , J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:50.849216Z

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Unavailable: canonical work link unavailable.

Observation 3e9a7967-1c3f-4abc-9f85-ab905a66bb52 · outbound

This paper cites M ¨uller, A history of thermodynamics: the doctrine of energy and entr opy, Springer Science & Business Media, 2007.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems M ¨uller, A history of thermodynamics: the doctrine of energy and entr opy, Springer Science & Business Media, 2007

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:10:59.300431Z

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Observation 8f9ccda8-d6ae-4fda-8c52-c551250987f6 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T13:10:53.586009Z

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

Observation 1206709f-0ac7-4a74-b042-8c6d9ce8d0f7 · outbound

This paper cites W ang and Z.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems W ang and Z

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:51.240323Z

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Unavailable: canonical work link unavailable.

Observation a8f5ecd8-5df1-4eca-830b-68e884e167b6 · outbound

This paper cites Xin and W.-Q.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Xin and W.-Q

Reference 38

Resolution: verified exact; raw_fallback, observed 2026-08-07T13:10:58.247073Z

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

Observation 0a622f57-3933-4f51-b875-1f76b905a4fc · outbound

This paper cites Zhou and W.-A.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Zhou and W.-A

Reference 39

Resolution: verified exact; doi, observed 2026-08-07T13:10:52.133371Z

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Observation 0048d014-1054-455d-bc01-e70511b7b6a3 · outbound

This paper cites Xu , Initial-boundary value problem for a class of linear relaxa tion systems in arbitrary space dimensions , J.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Xu , Initial-boundary value problem for a class of linear relaxa tion systems in arbitrary space dimensions , J

Reference 40

Resolution: verified exact; raw_fallback, observed 2026-08-07T13:10:57.977250Z

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Observation 350cb778-212b-494d-9384-84e210908264 · outbound

This paper cites Xu, Boundary conditions and boundary layers for a multi-dimens ional relaxation model, J.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Xu, Boundary conditions and boundary layers for a multi-dimens ional relaxation model, J

Reference 41

Resolution: verified exact; doi, observed 2026-08-07T13:10:53.082725Z

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Observation c47dbfb2-91c0-4bb8-8b65-f8bdadb7a7aa · outbound

This paper cites Yong, Boundary conditions for hyperbolic systems with stiﬀ sourc e terms , Indiana Univ.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Yong, Boundary conditions for hyperbolic systems with stiﬀ sourc e terms , Indiana Univ

Reference 42

Resolution: verified exact; doi, observed 2026-08-07T13:10:52.697768Z

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Observation 9fe5b4d2-687f-415d-9578-bf6cff8e441f · outbound

This paper cites Yong , Singular perturbations of ﬁrst-order hyperbolic systems w ith stiﬀ source terms , J.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Yong , Singular perturbations of ﬁrst-order hyperbolic systems w ith stiﬀ source terms , J

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:51.724592Z

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Unavailable: canonical work link unavailable.

Observation ca320386-519e-490e-a65d-994a5bc3910f · outbound

This paper cites Zhou and W.-A.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Zhou and W.-A

Reference 44

Resolution: verified exact; doi, observed 2026-08-07T13:10:52.339611Z

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Observation 5db47672-7f9a-436b-8660-b010e193f802 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:10:59.086313Z

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Observation f6742b8e-8a33-4ca2-918b-7681436211f6 · outbound

This paper cites an unresolved cited work.

Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems Unresolved cited work

Reference 2007

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:11:01.732674Z

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Pith citing papers

Observation 3ec468cd-5c42-44bc-b9d1-44b9e3ff61cd · inbound