Paper Citation Record · LEDGER

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform

As of 24 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2412.03477.

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

pith.paper-citation-record.v1
2412.03477 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:26:24.722360Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:17:18.814392Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T18:14:12.326432Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy4
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 213eef52-14e6-4b5a-a4af-6e172fc78a3a · outbound

This paper cites Extensions of A ctive F lux to arbitrary order of accuracy.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Extensions of A ctive F lux to arbitrary order of accuracy

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.648910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8127a6d3-b392-4f90-b167-33eb0f9c1a01 · outbound

This paper cites A hybrid finite element--finite volume method for conservation laws.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform A hybrid finite element--finite volume method for conservation laws

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:26:24.935927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1937aa0d-21fd-42ed-bfec-dfb48a0ddc5c · outbound

This paper cites an unresolved cited work.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.659360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b02a0d74-9e22-4b6b-8849-e483a9b70d98 · outbound

This paper cites A semi-discrete Active Flux method for the Euler equations on Cartesian grids.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform A semi-discrete Active Flux method for the Euler equations on Cartesian grids

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.664904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 392fde12-c73a-44a0-90d4-85bfb7e85f64 · outbound

This paper cites Stationarity preserving schemes for multi-dimensional linear systems.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Stationarity preserving schemes for multi-dimensional linear systems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:26:24.906698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 67094935-ffe8-411c-a548-f38c969a95b2 · outbound

This paper cites Stationarity preservation properties of the active flux scheme on cartesian grids.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Stationarity preservation properties of the active flux scheme on cartesian grids

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:26:24.890472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d378afe9-38c9-4773-bbda-d20872497035 · outbound

This paper cites The active flux scheme for nonlinear problems.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform The active flux scheme for nonlinear problems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.681791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1632cdcc-3108-4013-8434-00b310a4fca3 · outbound

This paper cites The active flux scheme on C artesian grids and its low M ach number limit.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform The active flux scheme on C artesian grids and its low M ach number limit

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.686567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c49d59a5-bacb-444d-bf1f-056ea4553bf3 · outbound

This paper cites Exact solution and a truly multidimensional G odunov scheme for the acoustic equations.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Exact solution and a truly multidimensional G odunov scheme for the acoustic equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.691595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8299d3e-d348-49a5-8fde-15f86825bd35 · outbound

This paper cites The C artesian G rid A ctive F lux method: L inear stability and bound preserving limiting.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform The C artesian G rid A ctive F lux method: L inear stability and bound preserving limiting

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.696689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d80a74f6-296a-4e2d-ba2a-1ced33a3516f · outbound

This paper cites Multidimensional active flux schemes.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Multidimensional active flux schemes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.702025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2b90f69-37ea-4e5f-bf66-3f40e3c8d784 · outbound

This paper cites A new ADER method inspired by the active flux method.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform A new ADER method inspired by the active flux method

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.707124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 442254a8-4aa4-4293-9618-b3fc0019f51b · outbound

This paper cites Designing CFD methods for bandwidth—a physical approach.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Designing CFD methods for bandwidth—a physical approach

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.712283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc6869c4-8f72-40b5-8481-5c84e65729dd · outbound

This paper cites Towards the ultimate conservative difference scheme.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Towards the ultimate conservative difference scheme

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T22:26:24.717579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c880c61-e4fc-46f4-bf7c-4544df97949e · outbound

This paper cites Linear hybrid-variable methods for advection equations.

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform Linear hybrid-variable methods for advection equations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:26:24.779896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 9ee5164b-3e33-4b23-b3ae-44a933b5e9a0 · inbound

An Active Flux method for the Euler equations based on the exact acoustic evolution operator cites this paper.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.814392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dcb2ff2-d4a3-496a-904e-bd74ce410a6e · inbound

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids cites this paper.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:14:12.368018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.