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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.033612Z digest=sha256:885b14baa59af56e235a01cce5a3a25b56d242acd37ef14f7b2260fc09d91fc8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.080067Z digest=sha256:f3471f79b6c84c21f9c432081bbc1c0a3bac4e830f5f604814f2bde4719f4f9d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.148251Z digest=sha256:df3b8d348efd90ad3baae15023aabbf37f596be32cd5ba115c1fc24046661819

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.202526Z digest=sha256:b862d28a0b713384f9ee8cd467f77c7e4731f7a4aab7e1fdebbd724be82c89f0

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.

source=arxiv_source observed=2026-08-05T18:14:10.308656Z digest=sha256:97908ee5f3e753ae0803c8b718a0694ebd76bc4a9bb76245f914156a9f0a380c

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.369450Z digest=sha256:422a62de5be284865901e50bb292c4806c3ef7ab55065ad7cb94a3526187f109

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.416953Z digest=sha256:901f18742b918866e69e02d7182837174b0d4385a0163ff5c2a899641fa35fdb

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.491129Z digest=sha256:69ae04dbf3b80ef0b4808380f08996ee6901fd55a3bc79acbd1f97e24d8f6b78

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.561907Z digest=sha256:aec23985ded37939ff2490c454ca37af01d078d629ff277ab83209c98aebc49f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.620070Z digest=sha256:cf412a819c3aaa6f7a81b8bc9f85f7c415c95f5f6b747c9750a81368f4a6ca48

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.676676Z digest=sha256:396a07d315207ea87a5bdd6ddd386b37ddaa207ac50a3a732b45dab165355849

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.732840Z digest=sha256:b2284f1d8eabb1ce7cb9f4649b064d85070a220b44f89ae170db3bf60312e524

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.821370Z digest=sha256:32c5ec8eda32118f6cb1861137a1e3f62b118da501a131e90eebd376561512a7

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:10.912294Z digest=sha256:7441be44cff2829e72582cb0523ff37a9cebec5fcb685845cb40e95c15c9e30f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.023303Z digest=sha256:a16e4b32705ed0d73508fd52640256c2ded1bd5abb49a770da9a3b874f5ea8d1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.089744Z digest=sha256:0db3403cbd20153fbf33a7e669d74a934e38316d07995f95ce7fa0b36c610e5f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.134080Z digest=sha256:c612a37f810b676dc200b270c7c29d7001e292383fbbe7d66ab1ed7160866adc

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.140067Z digest=sha256:70b3e8556434ab2cd1bdd62a99a2cd031fefb38b64d17b12df8aa7e3ab8606c8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.202664Z digest=sha256:3ff591e7af5dbbd7ed94e9ac699dae2ed3001da49f7aeed947073c5f5adb9fcb

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.286124Z digest=sha256:2c37ab98df16ab6763d35de89bf2a63b9f5435a5abc63fd69bc871060897e45a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.389778Z digest=sha256:24becb6a5163d15973d939e4ca8c367f3a1ebabbaacd06df25a9051f4878bac3

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.521198Z digest=sha256:7bfa5e13cb4b236547c686cfc3858f4ff460760bd6b7ba2f778e38f0c624c188

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.603027Z digest=sha256:162f6943ee310daa983377ab21050bef614491fa248dc6d0fc9fce18afa15a65

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.777861Z digest=sha256:ce626bce935e808bb900d2ad4408a5f012ffa2e3000771fdc34b75342f47d844

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:11.850722Z digest=sha256:1e4a279cba8bdbec14a6f926957d0e952ecba19e91c1f13a4f6629a139c5d524

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:12.030654Z digest=sha256:a52f469ae8aeee3f7d106a6e5c6443eeba09652c6c64e16816e9c19c34edcb27

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T18:14:12.166637Z digest=sha256:c67ccbb926aac833e10050306ea9f5863b29e509edd6c7a1bb53e4d538f2b7c5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-17T21:07:28.651783Z digest=sha256:3c93aaeb98b593d4e40fc9713c13c17e45718ab36e1983bab93ca575d917a555

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-14T19:07:32.692153Z digest=sha256:dc564ed03ec89bf7736ac29855d6e0667d31c12912f5fd86b1e62040aaf2822d