Paper Citation Record · LEDGER

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting

As of 11 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2508.21226.

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

pith.paper-citation-record.v1
2508.21226 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:35:30.915456Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T18:44:47.329479Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T18:48:08.070719Z

Reference resolution

20 of 20 outbound references displayed

verified exact1
verified fuzzy16
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c6f64a26-b150-44e2-9442-bca35f13fb2a · outbound

This paper cites An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T14:35:29.319955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e531ef25-0dee-43ee-8576-bd62a53a2245 · outbound

This paper cites Rueda-Ram ´ ırez, Gregor Gassner, and Tim War- burton.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Rueda-Ram ´ ırez, Gregor Gassner, and Tim War- burton

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:33.653111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d02e3d7a-3ef5-4d1f-a3f8-0352ba941fec · outbound

This paper cites Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T14:35:29.494226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 567f0ba5-bea8-442e-a404-6e3a8cca199f · outbound

This paper cites Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T14:35:29.559277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22fc0175-bc76-4b00-bb0c-ae358496cce6 · outbound

This paper cites High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:33.474921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4d566b0-12ab-436f-98f5-dbeab8c1fb14 · outbound

This paper cites Gassner, Andrew R.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Gassner, Andrew R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:33.317166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bc97a9bb-0970-4796-8966-90747a7e000a · outbound

This paper cites Numerical approximation of hyperbolic systems of conservation laws, volume 118.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Numerical approximation of hyperbolic systems of conservation laws, volume 118

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:33.185573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6a45b3a6-ef80-4082-9acf-112b0ba5c980 · outbound

This paper cites Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:33.007632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 50c4dbb7-f241-4ce7-b357-f4222f309d6c · outbound

This paper cites Lax, and Bram van Leer.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Lax, and Bram van Leer

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:32.857298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation de23b7c2-d96b-444e-bdc9-1fec6d2cd735 · outbound

This paper cites High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:32.706896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation be65438e-7089-41fd-9bf9-6a8710e85ccf · outbound

This paper cites A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equa- tions.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equa- tions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:32.572821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b7c757a0-e287-4e42-82d5-1b858d9de91f · outbound

This paper cites Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:32.393537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c6688c07-f9cc-4322-9ced-99eabea544ee · outbound

This paper cites DISPATCH methods: An approximate, entropy-based Riemann solver for ideal magnetohydrodynamics.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting DISPATCH methods: An approximate, entropy-based Riemann solver for ideal magnetohydrodynamics

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:32.191436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 797eb1e9-479b-411c-b7d2-d1384a07d40b · outbound

This paper cites DifferentialEquations.jl – A Performant and Feature- Rich Ecosystem for Solving Differential Equations in Julia.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting DifferentialEquations.jl – A Performant and Feature- Rich Ecosystem for Solving Differential Equations in Julia

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:32.047779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9fdf18dd-08f3-40dc-a83a-58600b8a6ff9 · outbound

This paper cites Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:31.896849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ec3e9f29-af89-4b6d-8d7d-df358f100d23 · outbound

This paper cites Mono- lithic convex limiting for Legendre-Gauss-Lobatto discontinuous Galerkin spectral-element methods.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Mono- lithic convex limiting for Legendre-Gauss-Lobatto discontinuous Galerkin spectral-element methods

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:31.768734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 22755a6a-38e6-40fe-97ac-886cd3ecef98 · outbound

This paper cites Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:31.629668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8a1a37f9-8170-43fb-a749-85dc1f70a5ad · outbound

This paper cites Entropy stable boundary conditions for the Euler equations.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Entropy stable boundary conditions for the Euler equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:31.487514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f695ca05-7b03-4fb6-863b-1683cb4f3e92 · outbound

This paper cites Entropy-stable in- and outflow boundary conditions for the compressible Navier-Stokes equations.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Entropy-stable in- and outflow boundary conditions for the compressible Navier-Stokes equations

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:35:31.117492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0b93256c-a6d1-4b6e-8cbe-ee5d00bceefd · outbound

This paper cites Local subcell monolithic DG/FV convex property preserving scheme on un- structured grids and entropy consideration.

Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting Local subcell monolithic DG/FV convex property preserving scheme on un- structured grids and entropy consideration

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:35:31.343597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation ab8f401e-b523-4b25-9bca-6990c33b28a4 · inbound

Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities cites this paper.

Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:48:08.072370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dbdf5903-bf3e-4500-882f-4a3ab7623a35 · inbound

Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations cites this paper.

Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting

Reference 63

Resolution: metadata mismatch; arxiv_id, observed 2026-05-09T05:55:31.346731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.