Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2508.15017.

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

pith.paper-citation-record.v1
2508.15017 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:14:12.166637Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T21:07:28.651783Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T21:10:16.965018Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy24
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 55dfbb20-5bab-476f-8c4b-70bd1f9ccaec · outbound

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

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Extensions of A ctive F lux to arbitrary order of accuracy

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:16.459516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d3dc91c2-c1c4-4afd-944e-662789d32c84 · outbound

This paper cites an unresolved cited work.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T18:14:16.285802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 807116d9-8f37-402e-8009-39f482573db3 · outbound

This paper cites A semi-discrete A ctive F lux method for the E uler equations on C artesian grids.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids A semi-discrete A ctive F lux method for the E uler equations on C artesian grids

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:16.122409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2b22afce-264f-46ce-9c96-c34edf597c1c · outbound

This paper cites The active flux scheme for nonlinear problems.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids The active flux scheme for nonlinear problems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:15.972268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 59cbaad9-27e9-4c52-bdab-d478a10a6bdf · outbound

This paper cites A generalized A ctive F lux method of arbitrarily high order in two dimensions.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids A generalized A ctive F lux method of arbitrarily high order in two dimensions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T18:14:10.308656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c56ac61-0fe9-4a18-8ba1-aa3c07f0dc46 · outbound

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

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids The active flux scheme on C artesian grids and its low M ach number limit

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:15.799006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

This paper cites Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform.

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 2026-08-08T06:32:00.761636+00:00.

Observation 79f1c3bf-02be-438c-a594-a9f474f9711c · outbound

This paper cites Proving stability of the active flux method in the framework of summation-by-parts operators.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Proving stability of the active flux method in the framework of summation-by-parts operators

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:15.625281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bdd9b3e9-6fba-49b1-94b4-4b4323065e34 · outbound

This paper cites Active F lux methods for hyperbolic systems using the method of bicharacteristics.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Active F lux methods for hyperbolic systems using the method of bicharacteristics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:15.459552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9d45a5e-41a7-4b55-a62a-00033328fd42 · outbound

This paper cites Active F lux methods for hyperbolic conservation laws— F lux V ector splitting and bound-preservation.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Active F lux methods for hyperbolic conservation laws— F lux V ector splitting and bound-preservation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:15.316571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5f72278e-e4d2-4ca9-9cef-252381006ddb · outbound

This paper cites Evaluating local approximations of the l2-orthogonal projection between non-nested finite element spaces.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Evaluating local approximations of the l2-orthogonal projection between non-nested finite element spaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:15.152610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 89c8fbce-5cd6-4828-a042-bb0f327fc3aa · outbound

This paper cites Finite E lements I : A pproximation and I nterpolation , volume 72.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Finite E lements I : A pproximation and I nterpolation , volume 72

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:14.991651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5dae9dce-0642-4177-90bc-883c99e8a52c · outbound

This paper cites Multidimensional active flux schemes.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Multidimensional active flux schemes

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:14.811093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 799a9aa5-0502-4e2c-9927-95a78e3fbf11 · outbound

This paper cites Investigations of a new scheme for wave propagation.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Investigations of a new scheme for wave propagation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:14.658575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 10543172-a0eb-45fd-b8f4-3f6bf29477b1 · outbound

This paper cites Biorthogonal refinable spline functions.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Biorthogonal refinable spline functions

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:14.504155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2362d885-7067-4de8-96a8-37e7926b2ce2 · outbound

This paper cites High order biorthogonal functions in (curl).

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids High order biorthogonal functions in (curl)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:14.371046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 39e2bd1f-4c00-4779-9333-2c9033d55d71 · outbound

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

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids A new ADER method inspired by the active flux method

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:14.195522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b18dda4c-16d8-4287-a6ad-59c0998ea3c0 · outbound

This paper cites Some properties of biorthogonal polynomials.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Some properties of biorthogonal polynomials

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.983979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c4dce9f-39ad-49a1-bd8b-822ba5d31e00 · outbound

This paper cites Biorthogonal bases with local support and approximation properties.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Biorthogonal bases with local support and approximation properties

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.782080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c3a7df38-6296-4410-9271-a5613b364440 · outbound

This paper cites On polynomial reproduction of dual fe bases.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids On polynomial reproduction of dual fe bases

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.629744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 97d0d7e4-1a44-443d-910d-625bfcbae66a · outbound

This paper cites An investigation of biorthogonal polynomials derivable from ordinary differential equations of the third order.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids An investigation of biorthogonal polynomials derivable from ordinary differential equations of the third order

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.501612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e0dcea6c-b819-499d-aa6c-32d7399d166c · outbound

This paper cites Penetration and diffusion of x-rays.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Penetration and diffusion of x-rays

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.403808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 569d400d-0d8a-4185-a680-f19cc3a9c597 · outbound

This paper cites Finite element interpolation of nonsmooth functions satisfying boundary conditions.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Finite element interpolation of nonsmooth functions satisfying boundary conditions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.241030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6a6ac1ae-1afd-42e5-903e-570a0eb6aeea · outbound

This paper cites Biorthogonalit \'e et th \'e orie des op \'e rateurs.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Biorthogonalit \'e et th \'e orie des op \'e rateurs

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:13.051719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8f7d526f-8b44-47f3-8fd3-672bf010fed5 · outbound

This paper cites Towards the ultimate conservative difference scheme.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids Towards the ultimate conservative difference scheme

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:12.907986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 10b07f2e-ad95-4cff-9e86-be839e46f43d · outbound

This paper cites A mortar finite element method using dual spaces for the lagrange multiplier.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids A mortar finite element method using dual spaces for the lagrange multiplier

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:12.761919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5e77e0f2-b895-4e9c-a55d-754aa6c98d1c · outbound

This paper cites A high-order hybrid finite difference--finite volume approach with application to inviscid compressible flow problems: a preliminary study.

Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids A high-order hybrid finite difference--finite volume approach with application to inviscid compressible flow problems: a preliminary study

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T18:14:12.564729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 46114cde-2706-44a5-a9c8-51677a34b460 · inbound

Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions cites this paper.

Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-21T01:20:36.233633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1af0bfd6-9ea3-49a4-a478-d2d5884c2bca · inbound

Fully Discrete Active Flux Method based on Transported Acoustic Increments for the Compressible Euler Equations cites this paper.

Fully Discrete Active Flux Method based on Transported Acoustic Increments for the Compressible Euler Equations Semi-discrete Active Flux as a Petrov-Galerkin method: the case of one-dimensional and Cartesian grids

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-21T01:20:36.233633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.