Paper Citation Record · LEDGER

An Active Flux method for the Euler equations based on the exact acoustic evolution operator

As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2506.03291.

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

pith.paper-citation-record.v1
2506.03291 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:17:20.927912Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T13:42:42.027742Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

41 of 41 outbound references displayed

verified exact0
verified fuzzy29
unresolved12
parse uncertain0
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External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 2cb4bafd-9554-46c6-995d-3546aad3d0b7 · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Extensions of A ctive F lux to arbitrary order of accuracy

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.350738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e19e83f-d851-4ea7-85da-64c402dffb2b · outbound

This paper cites an unresolved cited work.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.370438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da960dac-aeb5-4bfe-ac3f-68d93a307c86 · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator A semi-discrete A ctive F lux method for the E uler equations on C artesian grids

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.439862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 738a8557-1802-4e16-a7aa-80813578e81b · outbound

This paper cites A new approach for designing well-balanced schemes for the shallow water equations: a combination of conservative and primitive formulations.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator A new approach for designing well-balanced schemes for the shallow water equations: a combination of conservative and primitive formulations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:25.450438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fb2400d7-05a1-47de-8779-c8fe30cd8f9b · outbound

This paper cites The active flux scheme for nonlinear problems.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator The active flux scheme for nonlinear problems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.531022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ddc8bd9-0c5d-4a55-8308-5867d9a3f039 · outbound

This paper cites Truly multi-dimensional all-speed schemes for the euler equations on cartesian grids.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Truly multi-dimensional all-speed schemes for the euler equations on cartesian grids

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:25.251500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6aea47bb-5cf4-4a20-a5c5-83a10245abfc · outbound

This paper cites Implicit active flux methods for linear advection.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Implicit active flux methods for linear advection

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:25.131425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 43af5bdb-a94e-4e4b-9fde-abf34d444116 · outbound

This paper cites A numerical scheme for the compressible low- M ach number regime of ideal fluid dynamics.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator A numerical scheme for the compressible low- M ach number regime of ideal fluid dynamics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:25.011637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64c5a52b-c736-4a4d-b118-bac2c1c2d4cd · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator The active flux scheme on C artesian grids and its low M ach number limit

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.723199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 792b95a7-14f9-436b-b16a-5c3b39ad3421 · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Exact solution and a truly multidimensional G odunov scheme for the acoustic equations

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.896166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

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

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 c40abde1-fe00-4497-b67c-56d97455600b · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator The C artesian G rid A ctive F lux method: L inear stability and bound preserving limiting

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.772168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 04ca6a08-8fdd-44fd-b7a4-9f9cdd18b111 · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Active F lux methods for hyperbolic systems using the method of bicharacteristics

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.922575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b970fe5f-7a42-4626-957c-e3a99831f317 · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Active F lux methods for hyperbolic conservation laws— F lux V ector splitting and bound-preservation

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:18.965163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be22759b-8840-4d8b-bdd1-9ed29ca3bfcf · outbound

This paper cites Analysis of G odunov type schemes applied to the compressible E uler system at low M ach number.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Analysis of G odunov type schemes applied to the compressible E uler system at low M ach number

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.678845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c9e4854-c318-4731-bc12-753aa4ec09c6 · outbound

This paper cites Active flux schemes.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Active flux schemes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.600362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6cdf8fb8-9085-4785-9552-9af657699f18 · outbound

This paper cites Active flux schemes for systems.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Active flux schemes for systems

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.475986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a5e1c5b7-fffe-4033-91a4-d9b35464a231 · outbound

This paper cites Multidimensional active flux schemes.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Multidimensional active flux schemes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:19.145071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb48ca67-7f99-493d-8760-9db251893874 · outbound

This paper cites On the acoustic component of active flux schemes for nonlinear hyperbolic conservation laws.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator On the acoustic component of active flux schemes for nonlinear hyperbolic conservation laws

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.396318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 47be1b64-c551-4e74-b7af-80ba71614242 · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Investigations of a new scheme for wave propagation

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:19.247407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4d7407d-d504-489b-81ea-8c3066132cda · outbound

This paper cites Invariant domains and first-order continuous finite element approximation for hyperbolic systems.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Invariant domains and first-order continuous finite element approximation for hyperbolic systems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.319597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66b13b0e-f8a8-4b2b-bfb7-b01e6570f80d · outbound

This paper cites Tablitsy integralov, summ, ryadov i proyavleniy.—izd.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Tablitsy integralov, summ, ryadov i proyavleniy.—izd

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.221718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 340333da-5a22-460d-95a5-63a9e359a94e · outbound

This paper cites On the behaviour of upwind schemes in the low M ach number limit.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator On the behaviour of upwind schemes in the low M ach number limit

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.144610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a4f06f37-8747-4870-83d3-9f56c8267e64 · outbound

This paper cites Monolithic convex limiting in discontinuous galerkin discretizations of hyperbolic conservation laws.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Monolithic convex limiting in discontinuous galerkin discretizations of hyperbolic conservation laws

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:24.067130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 872ab298-8add-4ea8-ba56-cd4544682ded · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator A new ADER method inspired by the active flux method

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:19.472633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4df31fc8-dc8d-45d1-b6d8-819cb0943693 · outbound

This paper cites Weighted essentially non-oscillatory schemes on triangular meshes.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Weighted essentially non-oscillatory schemes on triangular meshes

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:23.983646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f54fc5b8-0ed2-41d0-b336-6ca777363244 · outbound

This paper cites Efficient implementation of weighted ENO schemes.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Efficient implementation of weighted ENO schemes

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:23.800470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 21bf5ba1-9e7d-4083-a5e2-d674578f9f4f · outbound

This paper cites Flux- Corrected Transport : Principles , Algorithms , and Applications.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Flux- Corrected Transport : Principles , Algorithms , and Applications

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:23.605906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 58566f1a-d47b-433f-a829-668573b0c4c3 · outbound

This paper cites Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:23.319654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ffacd8b7-5518-40e3-95e5-aa28187ec7bd · outbound

This paper cites Performance of high-order godunov-type methods in simulations of astrophysical low mach number flows.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Performance of high-order godunov-type methods in simulations of astrophysical low mach number flows

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:23.022351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bf3cfae3-32d7-4a08-9e6d-b14989ee2a1c · outbound

This paper cites Finite volume methods for hyperbolic problems , volume 31.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Finite volume methods for hyperbolic problems , volume 31

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:22.670110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 60c90c82-e1ab-41ae-bfe6-32fffb3dbe9e · outbound

This paper cites Solution of two-dimensional riemann problems of gas dynamics by positive schemes.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Solution of two-dimensional riemann problems of gas dynamics by positive schemes

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:22.418046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 75b5f482-4a0c-4d1d-b40b-b8f38d2f60e2 · outbound

This paper cites On the advective component of active flux schemes for nonlinear hyperbolic conservation laws.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator On the advective component of active flux schemes for nonlinear hyperbolic conservation laws

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:22.178254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f2d8863e-9275-4568-8720-641f96202a1a · outbound

This paper cites The extension of incompressible flow solvers to the weakly compressible regime.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator The extension of incompressible flow solvers to the weakly compressible regime

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.885311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5ab30ed5-5a6e-4b22-989e-0c25855a9719 · outbound

This paper cites High-order discontinuous G alerkin methods for CFD.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator High-order discontinuous G alerkin methods for CFD

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.752759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0b2aa7eb-1769-464f-9134-726c57c5fec3 · outbound

This paper cites On positivity preserving finite volume schemes for euler equations.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator On positivity preserving finite volume schemes for euler equations

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.631836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f9dbc06b-536c-4734-90c9-0f1956e98ef0 · outbound

This paper cites Comparing active flux and D iscontinuous G alerkin methods for compressible flow.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Comparing active flux and D iscontinuous G alerkin methods for compressible flow

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.545823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7ed9b8e9-fbe4-46f6-9cdf-177dc69e1259 · outbound

This paper cites Multidimensional upwinding.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Multidimensional upwinding

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.405906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5e861849-73b8-40bf-8e24-af24fd7eaa9c · outbound

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

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Designing CFD methods for bandwidth—a physical approach

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.271921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9fc71fb2-d832-43dd-9a39-d9903c06dd40 · outbound

This paper cites A posteriori correction of high-order discontinuous galerkin scheme through subcell finite volume formulation and flux reconstruction.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator A posteriori correction of high-order discontinuous galerkin scheme through subcell finite volume formulation and flux reconstruction

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:17:21.159784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 966d4349-d343-48da-895f-ae86dc5bd493 · outbound

This paper cites Towards the ultimate conservative difference scheme.

An Active Flux method for the Euler equations based on the exact acoustic evolution operator Towards the ultimate conservative difference scheme

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T11:17:20.927912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8fae0152-11e6-4064-ad2c-5554e8d3bf53 · inbound

On Enhancing the Dissipative Behavior of Active Flux Advection Schemes cites this paper.

On Enhancing the Dissipative Behavior of Active Flux Advection Schemes An Active Flux method for the Euler equations based on the exact acoustic evolution operator

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-14T01:20:44.262360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4854341e-5747-4a4a-ae8b-5e8a10263254 · inbound

A fully discrete Active Flux method for the Euler equations comparing different truly multi-dimensional evolution operators cites this paper.

A fully discrete Active Flux method for the Euler equations comparing different truly multi-dimensional evolution operators An Active Flux method for the Euler equations based on the exact acoustic evolution operator

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-14T01:20:44.262360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.