Paper Citation Record · LEDGER

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods

As of 13 August 2026, this Paper Citation Record lists 89 of 89 outbound references and 5 inbound Pith citation observations for arXiv:2501.16529.

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pith.paper-citation-record.v1
2501.16529 v3

Coverage vector

measured 89 of 89 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:41:51.083393Z

measured 94 of 94 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:09:03.240631Z

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

89 of 89 outbound references displayed

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External citation measurements

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

Outbound references

Observation 89892919-0056-44ae-9dcc-2d39ed06a6cb · outbound

This paper cites A general framework to construct schemes satisfying additional conservation relations.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A general framework to construct schemes satisfying additional conservation relations

Reference 1

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Observation f9f214ee-1706-439d-bd04-01f856e91615 · outbound

This paper cites Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization

Reference 2

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Observation 3c3987c4-a442-42c0-9e60-73000424b2a7 · outbound

This paper cites High-order conservative and accurately dissipative numerical integrators via auxiliary variables.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods High-order conservative and accurately dissipative numerical integrators via auxiliary variables

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-08-10T12:41:51.331860Z

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Observation d8e2c692-d619-4e2b-9c3d-c5f8e0cdcd8b · outbound

This paper cites Shock capturing with PDE-based artificial viscosity for DGFEM: Part I.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Shock capturing with PDE-based artificial viscosity for DGFEM: Part I

Reference 4

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Observation b4292ee4-e9ac-408b-95c8-5c00021e0166 · outbound

This paper cites Numerical methods for gasdynamic systems on unstructured meshes.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Numerical methods for gasdynamic systems on unstructured meshes

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:50.788543Z

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Observation 5ad081ae-8d13-4eeb-85e9-01455bfd0532 · outbound

This paper cites On the choice of wavespeeds for the HLLC Riemann solver.SIAM Journal on Scientific Computing , 18(6):1553– 1570, 1997.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the choice of wavespeeds for the HLLC Riemann solver.SIAM Journal on Scientific Computing , 18(6):1553– 1570, 1997

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:50.791893Z

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Observation 5d4f6a48-96ea-4d62-b71c-d64edd66dcfe · outbound

This paper cites Artificial viscosity to get both robustness and discrete entropy inequalities.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Artificial viscosity to get both robustness and discrete entropy inequalities

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:50.795552Z

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Observation 9aa64ad5-81f6-476f-b600-2f8c03c2ee0a · outbound

This paper cites The mathematical theory of finite element methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods The mathematical theory of finite element methods

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:50.798454Z

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Observation 10dc6c65-7841-40fe-a62e-dc71dfdb9cf8 · outbound

This paper cites Entropy stable spectral collocation schemes for the Navier-Stokes equations: Discontinuous interfaces.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy stable spectral collocation schemes for the Navier-Stokes equations: Discontinuous interfaces

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:50.801514Z

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Observation 77b65bf8-4f57-467d-a358-24a1fa6035d6 · outbound

This paper cites GPU-accelerated Bernstein–B´ ezier discontinuous Galerkin methods for wave prob- lems.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods GPU-accelerated Bernstein–B´ ezier discontinuous Galerkin methods for wave prob- lems

Reference 10

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Observation 3c9057e9-c5d2-49df-b33d-9ff44b4dc4f9 · outbound

This paper cites On discretely entropy conservative and entropy stable discontinuous Galerkin methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On discretely entropy conservative and entropy stable discontinuous Galerkin methods

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.150146Z

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Observation b8787d70-9700-4a42-9671-9f2476b00acf · outbound

This paper cites Skew-symmetric entropy stable modal discontinuous Galerkin formulations.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Skew-symmetric entropy stable modal discontinuous Galerkin formulations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.140152Z

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Observation b26ebfb5-ba6e-48cd-8b97-98bdcab0e074 · outbound

This paper cites Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.129796Z

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Observation 91b6b34f-ca20-41f1-a00b-6d1e8660a1f7 · outbound

This paper cites On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.119003Z

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Observation fee2699c-31f1-467c-8814-8fcf79590978 · outbound

This paper cites On the penalty stabilization mechanism for upwind discontin- uous Galerkin formulations of first order hyperbolic systems.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the penalty stabilization mechanism for upwind discontin- uous Galerkin formulations of first order hyperbolic systems

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.108130Z

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Observation 65bb915e-83f6-4c77-b72d-8e443695518d · outbound

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

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:50.826114Z

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Observation 08ef5330-6225-430e-ae9c-fe425e4d6c42 · outbound

This paper cites Review of entropy stable discontinuous Galerkin methods for systems of conservation laws on unstructured simplex meshes.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Review of entropy stable discontinuous Galerkin methods for systems of conservation laws on unstructured simplex meshes

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.091772Z

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Observation c2fa0054-dd0f-4e70-b2b4-5bbffc94b649 · outbound

This paper cites An analysis of the minimal dissipation local discontinuous Galerkin method for convection–diffusion problems.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods An analysis of the minimal dissipation local discontinuous Galerkin method for convection–diffusion problems

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.081122Z

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Observation 67cb61a6-9aa2-4304-b701-e0d93a13e1f4 · outbound

This paper cites The local discontinuous Galerkin method for time- dependent convection-diffusion systems.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods The local discontinuous Galerkin method for time- dependent convection-diffusion systems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.070795Z

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Observation ed1d97f3-f7cd-4fec-bffa-4213f606a501 · outbound

This paper cites On the entropy conserv- ing/stable implicit DG discretization of the Euler equations in entropy variables.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the entropy conserv- ing/stable implicit DG discretization of the Euler equations in entropy variables

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.060286Z

Source-reported events for the cited work

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Observation a5078e45-5533-4ee6-8f0b-f2264bbb477e · outbound

This paper cites Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.049224Z

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Observation 2af426e6-af29-4195-ab8e-0b2eca5ee3c2 · outbound

This paper cites Hyperbolic conservation laws in con- tinuum physics , volume 3.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Hyperbolic conservation laws in con- tinuum physics , volume 3

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.038954Z

Source-reported events for the cited work

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Observation 2151d3dd-ac40-40dc-ab88-2c658df5f670 · outbound

This paper cites Simplified second-order Godunov-type methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Simplified second-order Godunov-type methods

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.028537Z

Source-reported events for the cited work

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Observation 6215df9a-ea4b-472e-8e34-a99cedc1db0b · outbound

This paper cites Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.018116Z

Source-reported events for the cited work

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Observation ceb09741-0a35-45e1-8dc5-ba03dd7f5183 · outbound

This paper cites Conservative correction procedures utilizing artificial dissipation operators.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Conservative correction procedures utilizing artificial dissipation operators

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:52.007811Z

Source-reported events for the cited work

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Observation e5300731-4275-490f-b0ea-54a8cede3cac · outbound

This paper cites Embedded pairs for optimal explicit strong stability preserving runge–kutta methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Embedded pairs for optimal explicit strong stability preserving runge–kutta methods

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.997665Z

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Observation b78a2e00-b51d-4f76-af0c-396dc5e39afb · outbound

This paper cites Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.987722Z

Source-reported events for the cited work

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Observation 67aa9241-b161-4d0f-94cc-4b7cbdf5e136 · outbound

This paper cites High order entropy pre- serving ADER-DG schemes.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods High order entropy pre- serving ADER-DG schemes

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.977759Z

Source-reported events for the cited work

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Observation 94cad1b1-3022-47e6-bf6a-484e65b4bc48 · outbound

This paper cites Stability issues of entropy- stable and/or split-form high-order schemes: Analysis of linear stability.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Stability issues of entropy- stable and/or split-form high-order schemes: Analysis of linear stability

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.967068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c101a512-0a9a-4316-a349-b4f127fc1084 · outbound

This paper cites A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where? Frontiers in Physics, 8:500690, 2021.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where? Frontiers in Physics, 8:500690, 2021

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.956304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 046ed85a-e752-47d6-b401-7c3ae7c5d42c · outbound

This paper cites The BR1 scheme is stable for the compressible Navier–Stokes equations.Journal of Scientific Computing, 77(1):154–200, 2018.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods The BR1 scheme is stable for the compressible Navier–Stokes equations.Journal of Scientific Computing, 77(1):154–200, 2018

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.945088Z

Source-reported events for the cited work

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Observation 4a11c6eb-ae54-4ecf-8e48-02e12d673745 · outbound

This paper cites Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.934396Z

Source-reported events for the cited work

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Observation 78379ce0-be4e-477b-b86d-f69a9ca5ba94 · outbound

This paper cites A new class of entropy stable schemes for hy- perbolic systems: Finite element methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A new class of entropy stable schemes for hy- perbolic systems: Finite element methods

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.923537Z

Source-reported events for the cited work

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Observation 6795ee6a-fc2a-400e-a76c-907f103a97c0 · outbound

This paper cites Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.912730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 809bb2e8-23b2-4b30-a66a-bdf1ab912074 · outbound

This paper cites Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.901499Z

Source-reported events for the cited work

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Observation 34cfefe9-9e4c-4e34-bf77-9b39e66d646f · outbound

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

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Numerical approximation of hyperbolic systems of conservation laws , volume 118

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.890816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8ec4bfce-613b-405f-8c7e-6cda66d6fc04 · outbound

This paper cites Second-order in- variant domain preserving approximation of the Euler equations using convex limiting.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Second-order in- variant domain preserving approximation of the Euler equations using convex limiting

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.880571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80ffd500-8677-4a09-9d69-6c6f59c6582d · outbound

This paper cites Entropy viscosity method for nonlinear conservation laws.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy viscosity method for nonlinear conservation laws

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.870434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f4dcb7f2-171e-4b95-ad08-a3983c24a09e · outbound

This paper cites Viscous regularization of the Euler equations and entropy principles.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Viscous regularization of the Euler equations and entropy principles

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.860126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c70fd7d1-150d-472b-b39b-ca1248c190e6 · outbound

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

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.851662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6e942310-fb56-4466-8123-9b429bf14adf · outbound

This paper cites On the symmetric form of systems of conservation laws with entropy.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the symmetric form of systems of conservation laws with entropy

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.843146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 23f59b12-5266-43b9-99da-3a7122e909e9 · outbound

This paper cites A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.833969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ab1e8b4e-a2a2-43b5-91ef-7a2026ac960b · outbound

This paper cites Nodal discontinuous Galerkin methods: algorithms, analysis, and applications.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Nodal discontinuous Galerkin methods: algorithms, analysis, and applications

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.823757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 306e680c-6cdc-4e09-b0e1-92552234d562 · outbound

This paper cites On the order reduction of entropy stable DGSEM for the compressible Euler equations.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the order reduction of entropy stable DGSEM for the compressible Euler equations

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.812964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6d255a87-a609-4cff-b0d9-12f7c14904e1 · outbound

This paper cites Error estimates to smooth solutions of semi-discrete dis- continuous Galerkin methods with quadrature rules for scalar conservation laws.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Error estimates to smooth solutions of semi-discrete dis- continuous Galerkin methods with quadrature rules for scalar conservation laws

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.802701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4977da42-3eee-4646-acf6-c40f9e70f17c · outbound

This paper cites A new finite element formulation for com- putational fluid dynamics: I.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A new finite element formulation for com- putational fluid dynamics: I

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.792328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94c55cc0-6661-470c-9342-120e29167e50 · outbound

This paper cites On a cell entropy inequality for discontinuous Galerkin methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On a cell entropy inequality for discontinuous Galerkin methods

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.780862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cd4d3b50-fea0-49fc-a9a5-2f71e4bb8501 · outbound

This paper cites Stable discontinuous Galerkin FEM without penalty parameters.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Stable discontinuous Galerkin FEM without penalty parameters

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.770349Z

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Observation a2588299-f586-4fc4-b449-87f983505f38 · outbound

This paper cites Spectral/hp element methods for computational fluid dynamics.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Spectral/hp element methods for computational fluid dynamics

Reference 49

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This paper cites Viscous shock capturing in a time-explicit discontinuous Galerkin method.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Viscous shock capturing in a time-explicit discontinuous Galerkin method

Reference 50

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This paper cites On the quadrature and weak form choices in colloca- tion type discontinuous Galerkin spectral element methods.

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Reference 51

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Observation 72350743-0c1f-4e2d-83f7-508eba3cd73d · outbound

This paper cites On the scaling of entropy viscosity in high order methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On the scaling of entropy viscosity in high order methods

Reference 52

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This paper cites Contractivity of Runge-Kutta methods.

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Reference 53

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This paper cites Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers

Reference 54

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Observation db917a56-aa30-43dc-823f-7a5335f26b22 · outbound

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

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting

Reference 55

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Observation 972ce9a2-253a-4cfa-aa60-8504d62d52d9 · outbound

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

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations

Reference 56

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Observation 99f7e4e5-19ea-4a0e-a261-fe7fc65b1a30 · outbound

This paper cites Taming nonlinear instability for discontinuous Galerkin scheme with artificial viscosity.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Taming nonlinear instability for discontinuous Galerkin scheme with artificial viscosity

Reference 57

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This paper cites An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods

Reference 58

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This paper cites Numerical viscosity and the entropy condition.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Numerical viscosity and the entropy condition

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.660237Z

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Observation 2bdfb003-0151-4327-a141-1752d46d8986 · outbound

This paper cites Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction

Reference 60

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Observation fd6517c0-042b-4121-add8-5eb02e7f42a5 · outbound

This paper cites An entropy stable spectral van- ishing viscosity for discontinuous Galerkin schemes: application to shock capturing and LES models.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods An entropy stable spectral van- ishing viscosity for discontinuous Galerkin schemes: application to shock capturing and LES models

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.637286Z

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This paper cites A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.626365Z

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Observation 53fc4659-20a9-42ca-a4bf-d9220045a61a · outbound

This paper cites an unresolved cited work.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-10T12:41:51.615067Z

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Observation 264213c6-b3cd-459d-b805-e6295df11b80 · outbound

This paper cites Sub-cell shock capturing for discontinuous Galerkin meth- ods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Sub-cell shock capturing for discontinuous Galerkin meth- ods

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.604487Z

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Observation 75dbf39b-a90b-47a2-89ef-e04d0b6f8756 · outbound

This paper cites Differentialequations.jl–a performant and feature-rich ecosystem for solving differential equations in Julia.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Differentialequations.jl–a performant and feature-rich ecosystem for solving differential equations in Julia

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.593473Z

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Observation 1e92292f-8f04-4fa7-9719-6fbf64648cda · outbound

This paper cites Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.582842Z

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Observation 9a68a51c-c757-45ab-9d63-03644be515bf · outbound

This paper cites Optimized Runge- Kutta methods with automatic step size control for compressible computational fluid dynamics.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Optimized Runge- Kutta methods with automatic step size control for compressible computational fluid dynamics

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.572072Z

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Observation fa2b1250-5e83-413f-8272-5b8d03941464 · outbound

This paper cites Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.561405Z

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Observation 38c74de6-e03b-44bd-9a5a-02fd00ada9f0 · outbound

This paper cites Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for con- servation laws.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for con- servation laws

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.550775Z

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This paper cites Adaptive numerical simulations with Trixi.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Adaptive numerical simulations with Trixi

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.540382Z

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Observation cf68881d-9e87-4d94-bf24-49a97297f1dc · outbound

This paper cites Forward-Mode Automatic Differentiation in Julia.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Forward-Mode Automatic Differentiation in Julia

Reference 71

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Observation 10a70371-d7a2-48de-9bd9-6aac99f67367 · outbound

This paper cites Development and analysis of en- tropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Development and analysis of en- tropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.528788Z

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Observation 84986476-6177-4d96-9a9a-5ae48b71042c · outbound

This paper cites On 2D elliptic discontinuous Galerkin methods.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods On 2D elliptic discontinuous Galerkin methods

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.517409Z

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Observation 641f2a92-0720-4727-ac46-d70a424a13a6 · outbound

This paper cites Discontinuous Galerkin methods: general approach and stability.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Discontinuous Galerkin methods: general approach and stability

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.505115Z

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Observation cfa41233-5cd2-400c-b6de-c3994ff311b6 · outbound

This paper cites High order weighted essentially nonoscillatory schemes for convection domi- nated problems.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods High order weighted essentially nonoscillatory schemes for convection domi- nated problems

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.491713Z

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Observation 98a640b9-29b7-4533-866d-3b824059b54b · outbound

This paper cites Refining the diffusive compressible Euler model.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Refining the diffusive compressible Euler model

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.480276Z

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Observation 7564de6b-4155-4a95-bb1e-7e06b60cb9d3 · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy stable far-field boundary conditions for the compressible Navier-Stokes equations

Reference 77

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Observation bac76c0b-7777-4b91-989f-15f313e93e46 · outbound

This paper cites The numerical viscosity of entropy stable schemes for systems of conservation laws.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods The numerical viscosity of entropy stable schemes for systems of conservation laws

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.456612Z

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Observation f0c3878c-c9f2-458d-9e91-773c9edaf31a · outbound

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

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

Reference 79

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Observation 7e06f2dd-48f0-4624-9c01-a45a8b2282c4 · outbound

This paper cites Riemann solvers and numerical methods for fluid dynamics: a practical introduction.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Riemann solvers and numerical methods for fluid dynamics: a practical introduction

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-10T12:41:51.052658Z

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Observation 00deb470-5b4b-4596-a37e-17005a36226a · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Local subcell monolithic DG/FV convex property preserving scheme on un- structured grids and entropy consideration

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.425389Z

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Observation 9d78c989-c279-44e8-b00a-e6e94cc4ca94 · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A method for the numerical calculation of hydrodynamic shocks

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.415373Z

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Observation 01269d8b-8f86-4654-84c2-ec1de17208ac · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity

Reference 83

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and L2 stability

Reference 84

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Observation 12e2dfd6-dcf4-4a3b-9c02-3810ea2e9272 · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.386771Z

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Observation b6d0cb06-7940-40fd-ae39-28dc69e70a4a · outbound

This paper cites A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions.

An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions

Reference 86

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Observation f49d0ecb-b7c9-40b4-8d03-1a46f314a3a6 · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A study of several artificial viscosity models within the dis- continuous Galerkin framework

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.364913Z

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Observation 9285bc75-1d8e-4af4-a0fb-c51b121d3018 · outbound

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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods A data-driven high order sub-cell artificial viscosity for the dis- continuous Galerkin spectral element method

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.354114Z

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Observation e8e23b6d-d7b1-4ec4-8336-95a11f87e247 · outbound

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Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T12:41:51.343356Z

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Pith citing papers

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Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods

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

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Observation 5e13a120-9b5a-4361-8b0a-1a15f3be4881 · inbound

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