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Paper Citation Record · LEDGER

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D

As of 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.13221.

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

pith.paper-citation-record.v1
2506.13221 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:45:45.897795Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T12:43:24.003539Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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

Outbound references

Observation dd3e565e-ed27-4fc1-9f82-9f37c22f5bc3 · outbound

This paper cites Vanishing viscosity solutions of nonlinear hyperbolic systems.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Vanishing viscosity solutions of nonlinear hyperbolic systems

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:48.506313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:48.488266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:44.816373Z digest=sha256:df64827ac5666a29c16fc1173965697f1b394b50f344de1987f11331f8cc6600

Observation 3891b8f6-68eb-4115-ac3a-dc8391c52549 · outbound

This paper cites Hyperbolic systems of conservation laws , volume 20 of Oxford Lecture Series in Mathematics and its Applications.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Hyperbolic systems of conservation laws , volume 20 of Oxford Lecture Series in Mathematics and its Applications

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:48.472687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:44.884545Z digest=sha256:30f1098de6f8c8f16094e380c46ee822c7280c8e1cf4ff366c3cdcb858418bd8

Observation 274f32ae-7354-4fa2-9e37-f03b520edf61 · outbound

This paper cites A posteriori error estimates for numerical solutions to hyperbolic conservation laws.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D A posteriori error estimates for numerical solutions to hyperbolic conservation laws

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:48.454488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:44.958220Z digest=sha256:2eebf4da01414eb7e74f1eaf7a92fae5554b8c378ff2464edb9158430ad00d0d

Observation 6ef9cb7d-f980-4ae9-b70b-2efb83891695 · outbound

This paper cites An instability of the Godunov scheme.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D An instability of the Godunov scheme

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:48.387202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.048181Z digest=sha256:9f13b322f262f76d25b53f3c2f3f0d9dcbfbc0e374a03c685f3621ad53909b78

Observation 545d2b51-85c0-4919-acf1-812015e49c56 · outbound

This paper cites TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:48.091955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.086696Z digest=sha256:a9f422ddb3e9044bd0f59d5b37a79735dd3a50471a32a5ec5eca2ad403c50afb

Observation 9e13dc67-8efd-449d-a657-dc6f24a9e8f9 · outbound

This paper cites Multiresolution schemes for conservation laws.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Multiresolution schemes for conservation laws

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:47.847634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.169414Z digest=sha256:0a674c043a3e33f5aa42d222de5d71378c403cdcf7f24ce8ee8352a8c5af672f

Observation 9e98be0e-c949-4e3f-b738-7f3bb90a3c26 · outbound

This paper cites Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:47.631918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.223490Z digest=sha256:12c1ec8757e76a772a714e0a1eed577650c7793105dfbdc1a4bba57fe616dcd3

Observation 3312dffc-2f5f-4b5e-ba3e-f6f1f148f7b2 · outbound

This paper cites Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:47.445547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.281105Z digest=sha256:c4b0eba10f4fe823571f73b6f2b0c0b1a49d67573a4d8379312ab64c4023bbb2

Observation c5b5c39f-208c-4a5e-af73-76b8cca6d3c4 · outbound

This paper cites Modeling, Simulation and Applications.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Modeling, Simulation and Applications

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:47.235634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.362394Z digest=sha256:b941ce2116ff65a43d26270015966c327c86e9e0257f1417b174ae1af1d000ac

Observation a210973e-21eb-40bd-9135-501bddfd3015 · outbound

This paper cites A wavelet-free approach for multiresolution-based grid adaptation for conservation laws.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D A wavelet-free approach for multiresolution-based grid adaptation for conservation laws

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:47.048054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.442202Z digest=sha256:c009688f7ce2301f14a81cfcf90c5a7cdc97aeb703152362ff69ac14344cb226

Observation b35ffdbd-fcdd-401c-bfe7-4beb6c83fa65 · outbound

This paper cites A-posteriori error estimates for systems of hyperbolic conservation laws via computing negative norms of local residuals.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D A-posteriori error estimates for systems of hyperbolic conservation laws via computing negative norms of local residuals

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:46.848879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.529188Z digest=sha256:adacdf1a02d01e920d761da27ccb4d72509a6b89f1b5f1bd88db022fc02b63eb

Observation e9d084c3-f911-4ff6-8afb-b2ab30dbdc22 · outbound

This paper cites A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:46.600659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.600417Z digest=sha256:1727cb20d0b637938e7e653231437a06cf09c649d746ba747200257a18291dd3

Observation ff3a7420-6edb-4f76-b5a7-c5141900d291 · outbound

This paper cites LeVeque and Blake Temple.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D LeVeque and Blake Temple

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:46.471618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.675459Z digest=sha256:f9b7e794a626b3997cc883ea6a01e22b467cedfb6e69b9eed480ca6e8a784843

Observation 228d03b6-bdba-436d-8c72-64cd14827723 · outbound

This paper cites Convex integration applied to the multi-dimensional compressible Euler equations , volume 2294 of Lecture Notes in Mathematics.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Convex integration applied to the multi-dimensional compressible Euler equations , volume 2294 of Lecture Notes in Mathematics

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:46.352653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.720134Z digest=sha256:4f60bb681b2d36b34631e03e324d431481ff2404f3b0904af5a27f6d2f83f134

Observation fa4e42e5-9ca9-4d48-9561-41384ee427e1 · outbound

This paper cites Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:45:46.201341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.806455Z digest=sha256:f0760e0b31b4947063d6e6173135c02c7bc23d9a66d9f7e051b424d0e332fb8a

Observation 0a71c211-2a9a-4720-b018-78d9226c5b8d · outbound

This paper cites an unresolved cited work.

Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:45:46.076989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T00:45:45.897795Z digest=sha256:e05bf7afc373ace24ebc678e3e62485ba2842be8a7d04234a6ac494b5bc1af12

Pith citing papers

Observation 01516815-48b8-4e2c-9264-fa22da5d3c9c · inbound

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws cites this paper.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D

Reference 78

Resolution
verified exact
local_arxiv, observed 2026-07-30T12:45:56.830662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-30T12:43:24.003539Z digest=sha256:93efa087f0a793f4ce72b2bad28b0136e328af47fce26964ffae3d84bc333560