Paper Citation Record · LEDGER

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities

As of 9 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2606.05155.

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

pith.paper-citation-record.v1
2606.05155 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-28T05:05:08.737275Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 4c9e2a7e-48c9-46d4-99b3-06bb04905333 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Unavailable: canonical work link unavailable.

Observation dace9d8e-0e0b-468d-867d-5bc985300f2f · outbound

This paper cites We cannot demand this near the outer boundary because the underlying Cartesian SBP gradient loses accuracy near the outer boundary.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities We cannot demand this near the outer boundary because the underlying Cartesian SBP gradient loses accuracy near the outer boundary

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 70975226-818c-48eb-8496-4df30e0a276d · outbound

This paper cites We do this to increase the number of conditions to match the number of unknowns (see below).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities We do this to increase the number of conditions to match the number of unknowns (see below)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation acf76874-def9-4ad6-bbb1-92c45c16f5a7 · outbound

This paper cites that R f(r)r p dris exact forf(r) = 1.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities that R f(r)r p dris exact forf(r) = 1

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 20f4743c-30da-4568-abc2-f159a1ea8388 · outbound

This paper cites multiply by (p/r).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities multiply by (p/r)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 6f27d864-bae6-455f-be35-f0fc02335741 · outbound

This paper cites Gundlach, J.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Gundlach, J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 60505fc8-3f50-43b0-adc5-b085495a363b · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation bd069dd5-a891-46bb-af2c-e1fc81db11e9 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation fcab5833-3e7b-4652-a021-61ad23bb0f5c · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 134eef41-ed72-4e3e-b04f-ed4833b876f7 · outbound

This paper cites Gundlach and J.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Gundlach and J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation fe266683-d5b1-4a71-b51b-48001b4d4db1 · outbound

This paper cites Critical Phenomena in Gravitational Collapse.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Critical Phenomena in Gravitational Collapse

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-02T10:26:51.500283Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 81871a42-44b7-4533-8c9b-86cd4b2004b2 · outbound

This paper cites M¨ uller, Hydrodynamics of core-collapse supernovae and their progenitors, Living Reviews in Computational Astrophysics 6, 3 (2020).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities M¨ uller, Hydrodynamics of core-collapse supernovae and their progenitors, Living Reviews in Computational Astrophysics 6, 3 (2020)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation c3d4787d-5778-4bc6-849c-5c15e9990a08 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 3efcf75b-78fc-43d0-96aa-b47db98f64ad · outbound

This paper cites Lehner and F.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Lehner and F

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 699d71b1-7d43-47b6-bfbb-c433c11df03f · outbound

This paper cites Prochnow, O.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Prochnow, O

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 2a3b699a-5682-4144-beab-9668d9156960 · outbound

This paper cites O’Reilly and N.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities O’Reilly and N

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation a3f00499-6d88-40b3-b821-febbcf8a4727 · outbound

This paper cites Srinivasan, M.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Srinivasan, M

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 9c1e0230-1a0e-478f-be87-3c29cabacfc6 · outbound

This paper cites Mohseni and T.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Mohseni and T

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 7347a62a-40d9-4ea3-a2f2-9476556b6d04 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 7c75617e-4cbb-47e6-a331-1fc9e217cbf9 · outbound

This paper cites Constantinescu and S.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Constantinescu and S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation ad30a032-6d26-4091-8c61-b77ac6f4d1f7 · outbound

This paper cites Bhole, B.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Bhole, B

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 0dc60a04-3d9f-474d-ac2d-dddee069a4ae · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-06-28T05:51:41.297526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3b8bc21a-e8c1-495d-80f2-4e7116ef88ee · outbound

This paper cites Friedrichs and H.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Friedrichs and H

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 19c78fef-e306-4909-a0bb-0dcb562033ba · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-06-28T05:51:41.297995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f845ee64-e3b9-44e2-869c-86e9c19f19a4 · outbound

This paper cites Gustafsson, H.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Gustafsson, H

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 7977dde1-d12f-4d8e-a912-cfd90a5b53e3 · outbound

This paper cites Strand, Summation by parts for finite difference approximations for d/dx, Journal of Computational Physics110, 47 (1994).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Strand, Summation by parts for finite difference approximations for d/dx, Journal of Computational Physics110, 47 (1994)

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation b6b7cb00-ab0b-41b6-9d8e-46f87bd86123 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation b1db6f29-f41a-4220-ba78-f17e1dc57882 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-06-28T05:51:41.299231Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 642499ad-48fb-4513-b121-2d07bd04ad90 · outbound

This paper cites Mattsson and J.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Mattsson and J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 89e5e2be-3fe7-46f7-974a-272cbd78938f · outbound

This paper cites Diener, E.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Diener, E

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation ca9ad18f-5c37-40e1-a71f-7a1c23d1a28e · outbound

This paper cites Mattsson, M.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Mattsson, M

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 199abe16-a5d2-4451-8aa8-7fb4b933ec4b · outbound

This paper cites Mattsson, Summation by parts operators for finite difference approximations of second-derivatives with variable coeffi- cients, J.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Mattsson, Summation by parts operators for finite difference approximations of second-derivatives with variable coeffi- cients, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation c7b40241-c46c-49ab-844a-b718c5ad7585 · outbound

This paper cites Mattsson, M.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Mattsson, M

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation f601cab1-9104-44bd-a3bb-9880b5d09bca · outbound

This paper cites Hairer and G.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Hairer and G

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation dc52add4-8a8a-450d-9300-59836a57d9bf · outbound

This paper cites Shampine, Solving odes and ddes with residual control, Applied Numerical Mathematics52, 113 (2005).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Shampine, Solving odes and ddes with residual control, Applied Numerical Mathematics52, 113 (2005)

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 74f3da12-ae2a-4f85-8777-bcc6308479c2 · outbound

This paper cites Hairer, S.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Hairer, S

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation e1302593-606e-46ea-a399-c41f10925f1d · outbound

This paper cites Rackauckas and Q.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Rackauckas and Q

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 0f59539b-e821-4942-a6ad-4c32f1d3ac09 · outbound

This paper cites Vretinaris, SphericalSBPOperators.jl (2026).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Vretinaris, SphericalSBPOperators.jl (2026)

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation b3518e0a-118a-4034-840e-5558359c828e · outbound

This paper cites Danisch and J.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Danisch and J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 8c919f64-2522-4240-b86e-7aeb1ae4d2b9 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation 5ab40bc5-d0e6-4d23-beb7-044fe339d4f0 · outbound

This paper cites an unresolved cited work.

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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Observation f079de71-1e7b-4ffa-8539-991d27b97ee6 · outbound

This paper cites Ranocha, SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties, Journal of Open Source Software6, 3454 (2021).

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities Ranocha, SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties, Journal of Open Source Software6, 3454 (2021)

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-28T05:05:08.737275Z

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