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Paper Citation Record · LEDGER

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

As of 10 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 5 inbound Pith citation observations for arXiv:2507.11068.

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

pith.paper-citation-record.v1
2507.11068 v2

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:31:59.271346Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:28:00.276559Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T02:57:35.615809Z

Reference resolution

60 of 60 outbound references displayed

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  • verified fuzzy5
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External citation measurements

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Outbound references

Observation 62c5f2d6-310f-4bfe-961a-136fab3975a8 · outbound

This paper cites Acombinationofresidualdistributionandtheactivefluxformulationsoranew classofschemesthatcancombineseveralwritingsofthesamehyperbolicproblem:applica- tion to the 1D Euler equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Acombinationofresidualdistributionandtheactivefluxformulationsoranew classofschemesthatcancombineseveralwritingsofthesamehyperbolicproblem:applica- tion to the 1D Euler equations

Reference 1

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Observation b48aa081-85d8-49af-a631-fe71c33b0d0b · outbound

This paper cites A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids

Reference 3

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 433f441a-1263-4ee4-8297-17c3034dc622 · outbound

This paper cites Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems

Reference 4

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Observation 22b120f7-24c3-4ed2-8d80-129957cfc6e2 · outbound

This paper cites A hybrid finite element - finite volume method for conserva- tion laws.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A hybrid finite element - finite volume method for conserva- tion laws

Reference 5

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Observation a699603e-097e-49d4-9459-be4ae3231004 · outbound

This paper cites Extensions of Active Flux to arbitrary order of accu- racy.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Extensions of Active Flux to arbitrary order of accu- racy

Reference 6

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Observation 739b2352-fb5a-4cab-b3e9-6a9e9661695a · outbound

This paper cites Stationarity preserving schemes for multi-dimensional linear systems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Stationarity preserving schemes for multi-dimensional linear systems

Reference 7

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verified exact
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8d45adfb-0f51-4e08-bb33-45db7388090c · outbound

This paper cites A generalized Active Fluxmethodofarbitrarilyhighorderintwodimensions.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A generalized Active Fluxmethodofarbitrarilyhighorderintwodimensions

Reference 8

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Observation 5e78f26f-8e64-4ac2-ba83-55575364b99b · outbound

This paper cites Stability of the Active Flux Method in the Framework of Summation- by-Parts Operators.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Stability of the Active Flux Method in the Framework of Summation- by-Parts Operators

Reference 9

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 5fe4c490-ad17-4222-8233-f8b1d45a8d78 · outbound

This paper cites Julia:AFreshApproachtoNumerical Computing.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Julia:AFreshApproachtoNumerical Computing

Reference 10

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Observation c59b90e0-1755-4497-8f04-c13ee318f88a · outbound

This paper cites Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces

Reference 11

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Observation b5bcfbbd-0370-4eeb-ab7a-8c71ea8a4221 · outbound

This paper cites Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Reference 12

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Observation e21a68a1-b5d1-4189-b222-bf1fc945eca4 · outbound

This paper cites Makie.jl: Flexible high-performance data visualization for Julia.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Makie.jl: Flexible high-performance data visualization for Julia

Reference 14

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Observation 1b624aa8-b6fa-4573-be5c-5a1990f61d6f · outbound

This paper cites an unresolved cited work.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation aa4a698e-e41b-4577-8de9-a7ea731a911f · outbound

This paper cites High-accuracy finite-difference schemes for solving elas- todynamic problems in curvilinear coordinates within multiblock approach.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators High-accuracy finite-difference schemes for solving elas- todynamic problems in curvilinear coordinates within multiblock approach

Reference 16

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Observation 938be77f-19ee-42fb-a46c-d76232a060fc · outbound

This paper cites Active flux schemes for systems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Active flux schemes for systems

Reference 17

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Observation af6a95b3-9606-4351-bb47-50096f9a68f0 · outbound

This paper cites ActiveFluxSchemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators ActiveFluxSchemes

Reference 18

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Observation b0576d49-e05f-495c-84c5-9efaec11156e · outbound

This paper cites MultidimensionalActiveFluxSchemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators MultidimensionalActiveFluxSchemes

Reference 19

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verified exact
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Observation 125d6c23-56c6-4262-b585-aaf0b0fc7ff7 · outbound

This paper cites Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

Reference 20

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Observation 5494d089-6444-46b2-907f-a2800701d215 · outbound

This paper cites A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

Reference 21

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Observation 47624d8d-7c02-4bbe-9b37-cba53df088ae · outbound

This paper cites Multi-dimensionalsummation-by-parts operators for general function spaces: Theory and construction.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Multi-dimensionalsummation-by-parts operators for general function spaces: Theory and construction

Reference 22

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Observation fd021bf9-5a4c-487c-9dc7-6a7251bd1f5e · outbound

This paper cites Summation-by-parts operators for general function spaces: The second derivative.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Summation-by-parts operators for general function spaces: The second derivative

Reference 23

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Observation e72cf8b2-3147-410d-98a4-d81036a0d186 · outbound

This paper cites Summation-by-Parts Operators for General Func- tion Spaces.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Summation-by-Parts Operators for General Func- tion Spaces

Reference 24

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Observation 25620dda-0e02-4142-97ef-8265e61c756a · outbound

This paper cites Energy-Stable Global Radial Basis Function Meth- ods on Summation-By-Parts Form.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Energy-Stable Global Radial Basis Function Meth- ods on Summation-By-Parts Form

Reference 25

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Observation c9e850dc-09ed-4395-8b72-6120365781bd · outbound

This paper cites Hairer, C.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Hairer, C

Reference 26

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Observation e0d211d3-ff1d-4c12-a573-47305b683d55 · outbound

This paper cites Constructing stable, high-order finite-difference operators on point clouds over complex geometries.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Constructing stable, high-order finite-difference operators on point clouds over complex geometries

Reference 27

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Observation c9148361-1475-4a68-97a4-c1e28898a857 · outbound

This paper cites Multidimensional Summation-By- PartsOperators:GeneralTheoryandApplicationtoSimplexElements.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Multidimensional Summation-By- PartsOperators:GeneralTheoryandApplicationtoSimplexElements

Reference 29

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Observation 3cefb6de-0c63-4c8a-9bfc-2468edf60d54 · outbound

This paper cites AFluxReconstructionApproachtoHigh-OrderSchemesIncludingDiscontin- uous Galerkin Methods.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators AFluxReconstructionApproachtoHigh-OrderSchemesIncludingDiscontin- uous Galerkin Methods

Reference 30

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Observation ae578295-a5b5-4377-a116-f790e672a6a2 · outbound

This paper cites Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms

Reference 31

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Observation eb020bb2-b8e9-4890-a3a5-dca730a76557 · outbound

This paper cites Finite Element and Finite Difference Methods for Hyperbolic PartialDifferentialEquations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Finite Element and Finite Difference Methods for Hyperbolic PartialDifferentialEquations

Reference 32

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Observation 7ada521a-803d-4308-8fac-f63590e6cbc9 · outbound

This paper cites Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection

Reference 33

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Observation 7be04ca1-7885-4371-912a-713d19f1f9c5 · outbound

This paper cites Entropy Production by Explicit Runge-Kutta Schemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Entropy Production by Explicit Runge-Kutta Schemes

Reference 34

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8f2e4ce4-f5a2-425e-b458-1457363a35eb · outbound

This paper cites An efficient finite difference method for the shallow water equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators An efficient finite difference method for the shallow water equations

Reference 35

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Observation 3425b50e-6d59-4090-ae41-43fc09562830 · outbound

This paper cites Diagonal-norm upwind SBP operators.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Diagonal-norm upwind SBP operators

Reference 36

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Observation 06eaf3eb-334a-4c15-9076-cf2493717259 · outbound

This paper cites High-orderaccuratecomputations for unsteady aerodynamics.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators High-orderaccuratecomputations for unsteady aerodynamics

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.142008Z digest=sha256:b1d62c0a42584a10668793642f1edd5eb9119bd7aa523477fe99c3595e7c1f2d

Observation 39dd8e27-a0b2-46e9-9011-6e3709feafb0 · outbound

This paper cites A stable and conservative high ordermulti-blockmethodforthecompressibleNavier-Stokesequations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A stable and conservative high ordermulti-blockmethodforthecompressibleNavier-Stokesequations

Reference 38

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source=pdf_text observed=2026-08-06T17:31:59.147264Z digest=sha256:f484b39c53fe7dd81ae4eaba011fe2fa1a32728b56c5997f1bf1a67047af4f3c

Observation a5d23b76-206a-4699-949e-4cf469a01bbc · outbound

This paper cites Finitevolumeapproximationsandstrictstabilityforhyperbolic problems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Finitevolumeapproximationsandstrictstabilityforhyperbolic problems

Reference 39

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source=pdf_text observed=2026-08-06T17:31:59.151659Z digest=sha256:f01f8f5a218838c122973e057fd2ab75cd8631b19f4537b658beef5834df66f1

Observation 1ac451cd-3f2f-4a5c-b2a5-a51942ede45d · outbound

This paper cites Finite volume methods, unstruc- turedmeshesandstrictstabilityforhyperbolicproblems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Finite volume methods, unstruc- turedmeshesandstrictstabilityforhyperbolicproblems

Reference 40

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no resolver link, observed 2026-08-06T17:31:59.156257Z

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source=pdf_text observed=2026-08-06T17:31:59.156257Z digest=sha256:95a6e30dfafb34bbafb84feb945d9f9df9e957b4208d2aabeec978e58e5aecd1

Observation 8e22b8da-58f3-470c-a14c-080344d2e8d9 · outbound

This paper cites Summation by parts, projections, and stability. I.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Summation by parts, projections, and stability. I

Reference 41

Resolution
verified exact
doi, observed 2026-08-06T17:31:59.393106Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.160600Z digest=sha256:ccf987271ffed019ff932deca107b9201307359dd08d8460652d041e3a159d5f

Observation 18384089-6032-434a-805d-c3b54ebc570c · outbound

This paper cites Summationbyparts,projections,andstability.II.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Summationbyparts,projections,andstability.II

Reference 42

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source=pdf_text observed=2026-08-06T17:31:59.165192Z digest=sha256:4ea6decd4cdc87998ff77fd69623e1d7f8f16cbf1c0479117871e2deebc5d846

Observation e3515063-50db-455f-8e7d-f113853f2d98 · outbound

This paper cites A kinetic energy preserving DG scheme based on Gauss-Legendre points.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A kinetic energy preserving DG scheme based on Gauss-Legendre points

Reference 43

Resolution
verified exact
doi, observed 2026-08-06T17:31:59.366941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.169781Z digest=sha256:c18a82ebd64d338626c002e95cc49edb1db0bd2eba6e875a10cadef65b6e00fd

Observation fef49099-78ea-4a91-bcb8-a2a82c55d840 · outbound

This paper cites On the Stability of IMEX Upwind gSBP Schemes for 1D Linear Advection- Diffusion Equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators On the Stability of IMEX Upwind gSBP Schemes for 1D Linear Advection- Diffusion Equations

Reference 44

Resolution
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no resolver link, observed 2026-08-06T17:31:59.174651Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.174651Z digest=sha256:8716d643a9891da2cae334a4c17818717fc21537b44d7a5ab97eb30aeb6ce43f

Observation 926e778b-06cf-4a62-9035-b2d74b726842 · outbound

This paper cites On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators

Reference 45

Resolution
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local_arxiv, observed 2026-08-06T17:32:00.165945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.180573Z digest=sha256:b9fa27160f3ccc1f396c14200287300b19ce6b1b211da3b0ccec69058c3b5b38

Observation 7d136f0c-d939-4c60-b703-144de933edf9 · outbound

This paper cites Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics

Reference 46

Resolution
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no resolver link, observed 2026-08-06T17:31:59.185346Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.185346Z digest=sha256:723635de6e8346d990c7d7606bf037710ec2178fe80c4429db5967270f8e562a

Observation d7b591bc-8453-4710-9db9-2a93e6cd9a02 · outbound

This paper cites Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:32:00.125215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.191345Z digest=sha256:e2d0b3d64c1edbe85ffc5eb05a3595e003421d3d2210c2b4e81968533b9f0468

Observation 07fa92bb-056c-462c-8303-5b5982d67c19 · outbound

This paper cites General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:32:00.102634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.196268Z digest=sha256:203be8a54fbdaaf657122d7fb96cb3f791d3a08f4a56e3b5e8568085afac012d

Observation 1c8e5132-4a87-4b4f-a96f-e7cd96b0cb48 · outbound

This paper cites A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

Reference 49

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.201005Z digest=sha256:37532cf16d2f553f8e9c1a9cfa27e5c245d8510f52680cd0f3f9bded5f360e7b

Observation de68efe9-f6f4-4a44-babb-16cc2c1910f2 · outbound

This paper cites 𝐿2 Stability of Explicit Runge-Kutta Schemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators 𝐿2 Stability of Explicit Runge-Kutta Schemes

Reference 50

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no resolver link, observed 2026-08-06T17:31:59.205901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.205901Z digest=sha256:af1d65e00e63511c92e5e1f0c560d6f13b341cfe23f057d4a0b23c9670643ef5

Observation bfebd6ef-2cd1-45e8-be67-94add9b8ee87 · outbound

This paper cites Summation-by-parts operators for correction procedure via reconstruction.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Summation-by-parts operators for correction procedure via reconstruction

Reference 51

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.210542Z digest=sha256:8d547069dd1742c9463a59b259802c75a7d9d9bcbc02f0a8b8b53bf01fd40c80

Observation 93134398-4328-407a-8826-6aa35c0d84c9 · outbound

This paper cites Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:32:00.062888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.215185Z digest=sha256:8d0b7e1f9819c1186c9bf9db79b45fd9acd02c5950cdf6edafed506b6bd358f4

Observation 7ae5bc7e-0fac-4a2c-bc50-441c85dd85c6 · outbound

This paper cites On the robustness of high-order upwind summation-by-parts methods for nonlinear con- servation laws.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators On the robustness of high-order upwind summation-by-parts methods for nonlinear con- servation laws

Reference 53

Resolution
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raw_fallback, observed 2026-08-06T17:32:00.039651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.220848Z digest=sha256:2f1262d5ec5c73ce42844983b988afbe866cbc22b841cb42578edc85c1733530

Observation 9528b12c-f7f9-405b-9c9d-9ddf11f52d86 · outbound

This paper cites A residual-based artificial viscosity finite difference method for scalar conservation laws.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A residual-based artificial viscosity finite difference method for scalar conservation laws

Reference 54

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T17:31:59.947120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.226535Z digest=sha256:90a7ed0c1195562cf1f4bb25fd6cb96871b000fd85f8610ea8c78a365abb0feb

Observation 13259ea2-f497-4d64-8321-2d05c40e7c1e · outbound

This paper cites Summation by Parts for Finite Difference Approximations for𝑑/𝑑𝑥.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Summation by Parts for Finite Difference Approximations for𝑑/𝑑𝑥

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T17:31:59.231074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.231074Z digest=sha256:203118bca97bbd6463bfbf523793f8da0f4f3bc9c9c2a53d922a21b31b30631b

Observation 02ebf1a6-a97d-4866-8a7d-974204b34956 · outbound

This paper cites StabilityofthefourthorderRunge-Kuttamethodfortime-dependent partial differential equations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators StabilityofthefourthorderRunge-Kuttamethodfortime-dependent partial differential equations

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-06T17:31:59.235730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.235730Z digest=sha256:3cec5510c495b1abd3d180b2a4dc6ba4b1414557faba3a3ec2f37c644595a969

Observation 39a63ed6-f799-4fe9-a04f-f07d5e0adbb5 · outbound

This paper cites Strong stability of explicit Runge-Kutta time discretizations.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Strong stability of explicit Runge-Kutta time discretizations

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:31:59.670101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.241689Z digest=sha256:3a4605016288e835a8240d6128c0e6376dfd5d2c389484dafa4927095e0c2eec

Observation d4c61762-e543-4fca-956c-0b63e2812eed · outbound

This paper cites Steady-statecomputationsusingsummation-by- partsoperators.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Steady-statecomputationsusingsummation-by- partsoperators

Reference 58

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.246712Z digest=sha256:cef3834980cf7ff9711be9488bd137a7f0b8330541beb64077839e9d2007185c

Observation 63b5eae6-ec1c-44fe-9488-6c1e46bb8e95 · outbound

This paper cites On the convergence rates of energy-stable finite-difference schemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators On the convergence rates of energy-stable finite-difference schemes

Reference 59

Resolution
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no resolver link, observed 2026-08-06T17:31:59.251505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.251505Z digest=sha256:9a253d2841b4e785fa11eb09c3fec12ce86e04c01308a088a2f5f2707584082f

Observation b5b7f115-791b-46a4-8fbf-ed83b55ff005 · outbound

This paper cites Review of summation-by-parts schemes for initial-boundary- value problems.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Review of summation-by-parts schemes for initial-boundary- value problems

Reference 60

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.256305Z digest=sha256:27fa7460fb4552eed421aa716639e0a7dcd926d36816b6d28ac6f7129a34ee53

Observation e20cc537-2d1b-4b2f-ac87-ee61c8c5ee1b · outbound

This paper cites From Semidiscrete to Fully Discrete: Stability of Runge-Kutta Schemes by the EnergyMethodII.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators From Semidiscrete to Fully Discrete: Stability of Runge-Kutta Schemes by the EnergyMethodII

Reference 61

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.260878Z digest=sha256:57579d679e21bbba7222e48dd809b68f56cad7a95cebd4ef01be8fe69ed435b4

Observation d64b8d7a-e0b6-4093-9dc9-effeb3804025 · outbound

This paper cites Inverses of circulant matrices and block circulant matrices.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators Inverses of circulant matrices and block circulant matrices

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:32:00.840258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T17:31:59.265697Z digest=sha256:34ffd420a392c9d92bcf943f53f0de5e352c286e38973de8bc6a1a3560d3999f

Observation 90c69b87-c2d0-4872-84b7-15ab04b423aa · outbound

This paper cites A New Class of High-Order Energy Stable Flux Reconstruction Schemes.

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators A New Class of High-Order Energy Stable Flux Reconstruction Schemes

Reference 63

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.271346Z digest=sha256:da1941a2e30c1747a9a3ea667d5540c0651b46b6ccea41216f99516331789b93

Pith citing papers

Observation b7459c58-0558-4142-aca4-234d6f8163e2 · inbound

Some new properties of an Active flux type scheme: PamPa cites this paper.

Some new properties of an Active flux type scheme: PamPa Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Reference 14

Resolution
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arxiv_id, observed 2026-07-14T01:19:54.038286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T21:23:26.632644Z digest=sha256:ef1405449960aea3fc303aceac9ed59f4a4b2e598387df2bf087fc450ec2fd8d

Observation 8a4d425b-9c38-4104-8c9b-e89512c59fb0 · inbound

Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods cites this paper.

Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-05T14:28:00.276559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T14:28:00.276559Z digest=sha256:c0648dc6098c00fc4546f7e28fd7e0c48471cecb1147b09a11977ac17bebc583

Observation 3d1d93d8-d93c-49f1-91b6-4e4d0c3c8f8a · inbound

GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations cites this paper.

GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T12:41:26.686569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:41:26.686569Z digest=sha256:d63064d700c7c1e520be037513b3d3f843bc00555b18b27ca895d194ad11ae0a

Observation 71e86292-7186-4986-9c3d-52d349cee468 · inbound

Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation cites this paper.

Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-14T01:19:54.038286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T15:39:02.348128Z digest=sha256:cc2821c3c854a2a171e531b0a1da81a5d47ef394f43e2fc679333a9c8537e28c

Observation a4d8addb-a578-48e7-a97c-d3145dde8616 · 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 Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-30T12:43:19.704493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:43:19.704493Z digest=sha256:7831592b6c29436e0befc5129b391acc06700bbb273d6036b4a42e8287ab4ce8