Paper Citation Record · LEDGER

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2509.08413.

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

pith.paper-citation-record.v1
2509.08413 v1

Coverage vector

measured 26 of 26 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T20:55:42.207049Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

26 of 26 outbound references displayed

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unresolved1
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External citation measurements

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Outbound references

Observation 33297fb3-b5d0-45f4-ae38-2f5ac52b761a · outbound

This paper cites Weighted essentially non-oscillatory schemes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Weighted essentially non-oscillatory schemes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.485827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a10d555d-56f0-40ef-93b1-0cb4b0aaa6bd · outbound

This paper cites Efficient implementation of weighted ENO schemes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Efficient implementation of weighted ENO schemes

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.476523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2ffebf3d-b57e-4348-a254-840d1e6dfe70 · outbound

This paper cites Mapped weigted essentially non-oscillatory schemes: achieving optimal order near critical points.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Mapped weigted essentially non-oscillatory schemes: achieving optimal order near critical points

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.467050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1b0f7a02-da37-4fb8-a722-a9f0a052e306 · outbound

This paper cites An improved weighted essentially non -oscillatory scheme for hyperbolic conservation laws.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation An improved weighted essentially non -oscillatory scheme for hyperbolic conservation laws

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.457788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 76b57061-3de0-4d89-9a79-577a1e3e771b · outbound

This paper cites High order weighted essentially no n-oscillatory WENO -Z schemes for hyperbolic conservation laws.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation High order weighted essentially no n-oscillatory WENO -Z schemes for hyperbolic conservation laws

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.448610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 25f37655-27ad-4e95-9b0f-d369f00bc620 · outbound

This paper cites Accuracy of the weighted essentially non -oscillatory conservative finite difference schemes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Accuracy of the weighted essentially non -oscillatory conservative finite difference schemes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.439202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 81b3d41c-4de4-4b35-add8-c7004906c171 · outbound

This paper cites An improved WENO-Z scheme.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation An improved WENO-Z scheme

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.430122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e0f73e9f-cb45-410b-b0df-021330c1c12c · outbound

This paper cites A high-resolution hybrid scheme for hyperbolic conservation laws.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation A high-resolution hybrid scheme for hyperbolic conservation laws

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.420585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a5f6779e-f365-4daf-b49d-80aa602eec8a · outbound

This paper cites A new smoothness indicator for third-order WENO scheme.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation A new smoothness indicator for third-order WENO scheme

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.410316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ee0ff21e-562e-4690-a3ea-8ab8db38dd84 · outbound

This paper cites Third-order WENO scheme with a new smoothness indicator.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Third-order WENO scheme with a new smoothness indicator

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.400638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 64d24c8f-5376-4ada-8c91-d0680f3f9b89 · outbound

This paper cites An improved third -order weighted essentially non-oscillatory scheme achieving optimal order near critical points.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation An improved third -order weighted essentially non-oscillatory scheme achieving optimal order near critical points

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.391420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d09618a8-5d27-4c7a-aef4-26b749a5f034 · outbound

This paper cites Improvement of third -order WENO -Z scheme at critical points.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Improvement of third -order WENO -Z scheme at critical points

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.381683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 67f60997-fcf0-44f9-af6c-bb38c455ec47 · outbound

This paper cites Third-order scale-independent WENO-Z scheme achieving optimal order at critical points.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Third-order scale-independent WENO-Z scheme achieving optimal order at critical points

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.372300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 086cbb16-ba67-45d2-a997-9c2bd4a7e767 · outbound

This paper cites On developing piecewise rational mapping with fine regulation capability for WENO schemes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation On developing piecewise rational mapping with fine regulation capability for WENO schemes

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.362619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4da417c9-88b8-465f-b650-0352054f79b5 · outbound

This paper cites Improvements to Enhance Robustness of Third -Order 3 Scale-Independent WENO-Z Schemes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Improvements to Enhance Robustness of Third -Order 3 Scale-Independent WENO-Z Schemes

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.352554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 29928591-7028-456b-ae14-b5bc25621373 · outbound

This paper cites Modified non -linear weights for fifth -order weighted essentially non-oscillatory schemes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Modified non -linear weights for fifth -order weighted essentially non-oscillatory schemes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.342305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4fed137a-6221-46c1-9a44-c81a9be6e46e · outbound

This paper cites An efficient class of WENO schemes with adaptive order.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation An efficient class of WENO schemes with adaptive order

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.332155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a0c2cf9-fe7f-4a4d-9f5b-63341baff496 · outbound

This paper cites A family of high-order targeted ENO schemes for compressible-fluid simulations.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation A family of high-order targeted ENO schemes for compressible-fluid simulations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.322626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 501a21d5-d92b-4a86-bf91-dd43a1d0f4e6 · outbound

This paper cites Constructing higher order discontinuity-capturing schemes with upwind- biased interpolations and boundary variation diminishing algorithm.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Constructing higher order discontinuity-capturing schemes with upwind- biased interpolations and boundary variation diminishing algorithm

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.312622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d95c1c9f-d56c-417d-b263-bd42af05bcd2 · outbound

This paper cites an unresolved cited work.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-04T20:55:42.302972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e24dfe05-8671-4dbb-bfa5-b6840cf10c33 · outbound

This paper cites Affine-invariant WENO operator on nonuniform cartesian mesh with application to finite volume and discontinuous Galerkin methods.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Affine-invariant WENO operator on nonuniform cartesian mesh with application to finite volume and discontinuous Galerkin methods

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.293162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f23233a3-bb8a-479c-8036-0bef86954b18 · outbound

This paper cites Numerical simulation of Richtmyer-Meshkov instability of density-stratified interface of light-gas cylinder.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Numerical simulation of Richtmyer-Meshkov instability of density-stratified interface of light-gas cylinder

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.281966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4d24aef0-3f5e-4789-89aa-89d16014ad3c · outbound

This paper cites The numerical simulation of two dimensional fluid flow with strong shocks.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation The numerical simulation of two dimensional fluid flow with strong shocks

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.271284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c25e929e-a114-4d8f-a950-2ca7837798ec · outbound

This paper cites On positivity preserving high order discontinuous Galerkin schemes for compressible euler equations on rectangular meshes.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation On positivity preserving high order discontinuous Galerkin schemes for compressible euler equations on rectangular meshes

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.260651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fc618079-9be7-47ed-90bb-e9c4aa648a51 · outbound

This paper cites Evaluation of tvd high resolution schemes for unsteady viscous shocked flows.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Evaluation of tvd high resolution schemes for unsteady viscous shocked flows

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.249828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 428e731d-c2ff-4aae-bbfa-8ed105b7aa8a · outbound

This paper cites Direct simulation Monte Carlo simulations of hypersonic flows with shock interactions.

Accuracy analysis and optimization of scale-independent third-order WENO-Z scheme with critical-point accuracy preservation Direct simulation Monte Carlo simulations of hypersonic flows with shock interactions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T20:55:42.238150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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