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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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:44.749862Z digest=sha256:e1f5a66835ff5b3036327e88b859be92eb2f23428a44e44355cddde6104b639b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:44.816373Z digest=sha256:04d0f47946e4678b980cd78ae979eebfce6599720674e089174eeb65464f5e85

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:44.884545Z digest=sha256:5a0f5a4fafd77542c1315032aa57d92e2f5c93e4d24d5730b3e5ce2e64bf955a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:44.958220Z digest=sha256:42c9e94463d1d05888ece4f90731c52317308f6f15acd1a7806d38a16fe9e400

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.048181Z digest=sha256:fa09650963f09b1f4446f75d55f4f83716f068d262584989a35e6f969e875f6a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.086696Z digest=sha256:2669ac662f0e17c3eca3fefcc3c14f2d407477f6a82e029792170156f4b899a3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.169414Z digest=sha256:7202864f2adb350078d99fef9ac46d10d5fee567ab80510ff570654863bc6948

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.223490Z digest=sha256:1dc52cd4fd847393cbcd698400ba52330ef395cf9c5a733fcddac62a3de18f2c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.281105Z digest=sha256:7a0095431990842211900885d8425c793dbbd8ab816173f7e41a4b7674157a60

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.362394Z digest=sha256:bc7a1c23410133123db5eb1e8676964306657ceb9e0befa3804937624e32efec

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.442202Z digest=sha256:1dac6f24c74f6b46e2216280b920769342f6199530e41b20ba693a3a7f592d51

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.529188Z digest=sha256:9202bb8bfca6acc1a3026abd449ddcb932fdbf09a4bfa603c92c16ccb029b692

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.600417Z digest=sha256:d9a15f8499742303fa86ee62028adcbbbba13745a1e91f8886856569b567883d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.675459Z digest=sha256:b7c1b3890d41f55d84345ffd7b1bbcd3cb8834f59b1583f87b82b7354ffc6ae0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.720134Z digest=sha256:8afcf244217b2a9f806701bc3fa7d832ade47df8ac42eecb91ab51b3ea1aca43

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.806455Z digest=sha256:0b7f43ef7fef76682200d1a6236e7b4d685d2c626a1566359ce5905b35bb38bc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T00:45:45.897795Z digest=sha256:e22e42ee58c86e369c0dbc6254a852720c51182ff67e429d15427047504efbf4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-30T12:43:24.003539Z digest=sha256:e4673431ebeb65f394baaf9a7c2201f63f06860867bd98bb2a5d08bdae3eb3b4