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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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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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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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.142008Z digest=sha256:b13a43c13356ce05cf035eba0a19fce6953f32ad1f0b75e635811e779feb7afb

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

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.147264Z digest=sha256:b80b581a672d953bb9b8f1f48334edefb036d56cd82fb9673166cef61c0414f2

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=sha256:79c7f4253cbb75e150f9801f394d598ee55ef8a6d91c59ff2f830a6d257700d9

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:efb0ed933fa16fbe0972f8e1970b85db4471764fec7f0a615da58b8f81c48679

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.160600Z digest=sha256:6ccb6adb0c31184969300d0f38ae955cc12b740219b6c48eb517df479bdda674

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:be0f419ba9b1c6deced4acf9c35f39f84c8d956596b1415e543fc851e18bb92e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.169781Z digest=sha256:6293e0b06d1fd3087299298f80e12fbd126c0bba22dd1322a09d5da3256e71eb

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:b49be51352d5e427e3f01a8981d6b2532418d395c092dd6820d56bc10e030c83

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.180573Z digest=sha256:fd8edd49b314b8af3eea9c84954eb4942d0744411b99d0eb5fda6e1609387db2

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:31:59.185346Z digest=sha256:74a57ab9cd5df95e1afa3a407b4856c9c20fa5b5988374e56681c9dcc39910e1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.191345Z digest=sha256:b8a032bde9507cbc0a985aefed1966a9c28d286e4e1689b4a352f824ca3db673

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.196268Z digest=sha256:c68abc3d80e2221fcfa7431fdb3f4aae054219761a0081be67ba03777f6fe415

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=sha256:5fc96d5d3b9a767f5a05b73f9b4f3aa3fefe9e3c00bf7b2e7c5e0e7e34354d7d

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=sha256:3b5174856289a9a7debdd3be331bede9cfdad240721f21300a28cab03f00c131

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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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=sha256:0ffa0ce338e4ee354e1f5a9fb16e61d74ca24d5975a0ce0f24ba346ff86838e8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.215185Z digest=sha256:b8572056c804aa1f9f657cd1c4e994332d06beb55ee02e8c5bf39ceb98b956bb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.220848Z digest=sha256:159467f6e4c83f095a5de5b80818da872596ad74bec629f0af835a4613b901c8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.226535Z digest=sha256:3ab9fb4aaa95c6a10ffdda03585994d5beb996095889211f592f388f5c6a9d8c

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=sha256:0c8a16855d314cace4e033839ea19e1f83a51b902bbb9946fc0b25c264bd5573

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=sha256:11becb53063664fe87898599cd354d28b9470fad3613a3f83ab0cc18053e57b7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.241689Z digest=sha256:b7a1b94bfabb6a0aaee648d5307ef7e32575cd7f89b4aabbe908952b027aed09

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
malformed identifier
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:b9da57dc3af6f473d12dc902d6a4b15710096a420919e3ed6db4c7e1e0c381ac

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:ece56cec10b884635874a3e7d711388b3ba41dd00049681774096549db73e797

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:aded9a580f14824b6ecedf62d9ff5df00de13a7dfab1a6857e6ee4359ac28158

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.260878Z digest=sha256:ef6975a01fa199b88e3634298c44ffebb3c4f8a835ed62a2bfe2443d190e4d01

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T17:31:59.265697Z digest=sha256:0a4496c2f59b7d778a2634bee3a4c093745819de27870e9d6db1c277bd8e19a0

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=sha256:29b4f130199bb1cfd49d1de9d98c05288e02398c37e9e8c27953fd086dd3aeb0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T21:23:26.632644Z digest=sha256:607abe3bef0baea4dcda171fa9c98ac808d224acf64cf907c81833e1559a6b57

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=sha256:42f721a1df6abc1aa2faa79ad3082340a62e480e56eef909196e9a57689678b3

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:a3c7ca0c906b538861a50b61c772fcd1c609d9606912f1a16388ba1959a74d52

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T15:39:02.348128Z digest=sha256:e8fa12bae85ad1ba28cf35e4458a409e363eb50641954427abcc36889c567cd3

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:d7b78f39b2e208842714e1e2905dd3c98fba7feb8c0f8f9e859b506c0aedb052