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Paper Citation Record · LEDGER

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

As of 15 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 5 inbound Pith citation observations for arXiv:2507.11068.

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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 2026-08-15T06:32:42.880941+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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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 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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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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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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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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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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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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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.142008Z digest=sha256:4a7f26fab55881c32fea8a4e461cc205872bbd4f1e54a3bdece081ac818d9401

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

Resolution
verified exact
doi, observed 2026-08-06T17:31:59.429758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.147264Z digest=sha256:a1143e6ab71ba1d8528668808c9e9ad7e96bb1c50359dc54ddf772976189f733

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

Resolution
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no resolver link, observed 2026-08-06T17:31:59.151659Z

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source=pdf_text observed=2026-08-06T17:31:59.151659Z digest=sha256:b8bb97c3444f03b193b771a01a6dd144970d4378ee2bd5fe12509fba904b4f4b

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.156257Z digest=sha256:55de6e0877911b2d8ce59b83a6ad1cf4349169721507fa78203f21972df32750

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.160600Z digest=sha256:ed15d883f82b1687c857cd07aaccb87135f191a7a3eadcebdb6b0c6a229349db

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

Resolution
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no resolver link, observed 2026-08-06T17:31:59.165192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.165192Z digest=sha256:2571e99b4f99a0872efce6b9636bc96de045e2d29b79b7eba3a47e130e66f7e3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.169781Z digest=sha256:9f255155fa8a9e48aa5cf1822d67af6993a00562487b02223ba0a686e66061e8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.174651Z digest=sha256:8bbd9e2962e489f0f027ecb542f0e542aaef8316dd3f6da646b1292beccd47cb

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
verified exact
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.180573Z digest=sha256:cdc439f41352edc2b02d63c3f1ea9c073664f7dd815730126055515dc7b93ee0

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.185346Z digest=sha256:d1eb8ae80bf12d84bb806927a9cdd193b873f089296617e8a1d2cbd7f0957f5f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.191345Z digest=sha256:8aedc44758ef6b3b12edaa543cdc3cf8e77a5b0adb139025b0fe3c0ebd8abd7f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.196268Z digest=sha256:434228014d650f09402580ed247b72dd46c9ca3c915d1f9ddc061235266b655c

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
unresolved
no resolver link, observed 2026-08-06T17:31:59.201005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.201005Z digest=sha256:869569f93ac5cc26e4bfc97bce8952bc5324dcdfcd5fc14eafd216cdb3be9602

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

Resolution
unresolved
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=sha256:4b12eaa8b76bc0ac977656553a85a7423f005f1e0412565b9c4db0ded634ebcd

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
unresolved
no resolver link, observed 2026-08-06T17:31:59.210542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.210542Z digest=sha256:603a05b91bd5e05eafbd3bcc59140f2601a2d14291d9a3d6e6145d40ecdfb41e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.215185Z digest=sha256:f7a613634c00a655bb8f02e66528e0ca88d02ae09f79d4bb5668884648cfc653

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
metadata mismatch
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.220848Z digest=sha256:3999fbd985529a3ab5ea4b4d49b7f8b9822c6dc9d3a2b0a078141a322876bbe8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.226535Z digest=sha256:a1fede798b9dfe7bed1a1cc0506dadc3e1d31177afd85468d0cca7152c74df1e

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=sha256:4cdbe15288de5eb071c777e3fff804b4a41afb9a54d6872291fa46e9aa951b56

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:cf088662e81601647b8ac545a533b0289ca834e24e961557480f6b18fbb83fc9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.241689Z digest=sha256:0079303b4f8f1d2884730bab42ee40dbcf673f3f911993fe16fbf304eba821e7

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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no resolver link, observed 2026-08-06T17:31:59.246712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.246712Z digest=sha256:549db6e4e54fbdfef253512f986e05904d44f6c8cd8f8e97e5f8d535c0377ca3

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
malformed identifier
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=sha256:78176d52203047efecbc9b56ca7a5f2db49cec0a8797d58130a12d10e041ead3

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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no resolver link, observed 2026-08-06T17:31:59.256305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.256305Z digest=sha256:2d1a16f967b4fe314f2412726ace1e026c54bbd210755efccf97f4362fc5ed97

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
raw_fallback, observed 2026-08-06T17:32:00.854518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.260878Z digest=sha256:66b54f794d493ab850eb5e27ca2391f2f189950600b8ac32bf05b0f09f94c85f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:31:59.265697Z digest=sha256:87107fe26f91dcaa2d5b15ebc14284768992854dcd0485c1740a20c0beaeae09

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
no resolver link, observed 2026-08-06T17:31:59.271346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.271346Z digest=sha256:3fae232a33e670fe8ea51c02a070ce48cf0576c77dd616ae42bb270d88d1b972

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
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-18T21:23:26.632644Z digest=sha256:f84874dbb0b23652fb4a935a8c027a254c3b07ed14656efe1ea8891d2df0c6f6

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:ace71f73de5bca8579b08aaf5b55bfb16af4a06009eaa6f45914aaa49549b5e7

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=sha256:5690c15c9f68228e2da276b27d4e789b77d7b1af7c25254a78d331d8c5c0afb6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T15:39:02.348128Z digest=sha256:740fa90a6bb152b310be812e976161f51efd36b62bd040aa4d0c39d9fa40bef5

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=sha256:13d262e2161c7f23a9b659d39d7890cbd5f2185441e4379a992092feabdb5a33