Paper Citation Record · LEDGER

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.24059.

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

pith.paper-citation-record.v1
2607.24059 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:16:19.864349Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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External citation measurements

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Outbound references

Observation 2f49e99a-6b15-467a-831f-ccdd9f840292 · outbound

This paper cites Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.200669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1240f82-c1ab-4ebf-98d6-1292ed256cbe · outbound

This paper cites Discrete kinetic schemes for multidimensional systems of conservation laws.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Discrete kinetic schemes for multidimensional systems of conservation laws

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.320576Z

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Unavailable: canonical work link unavailable.

Observation 882d99bc-c3b0-434d-9ab4-5ab276e89bd6 · outbound

This paper cites Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.433081Z

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Observation d0cb00f9-72b6-4820-a971-5e70ed6aa6f2 · outbound

This paper cites Second-order entropy satisfying BGK - FVS schemes for incompressible Navier - Stokes equations.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Second-order entropy satisfying BGK - FVS schemes for incompressible Navier - Stokes equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.523046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 500b27ae-5f78-46d0-9124-2e9210d97233 · outbound

This paper cites an unresolved cited work.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.560020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77f9f96b-4d9d-4e0b-a3e2-ad3aadff313d · outbound

This paper cites Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.611811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ab4e460-d32c-4071-a6e8-e4a960e575e3 · outbound

This paper cites A discrete kinetic approximation for the incompressible Navier-Stokes equations.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations A discrete kinetic approximation for the incompressible Navier-Stokes equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.674421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e4bda51-08ec-4017-8265-cf259d701373 · outbound

This paper cites Asymptotic preserving methods for the low mach limit in discrete velocity models approximating kinetic equations.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Asymptotic preserving methods for the low mach limit in discrete velocity models approximating kinetic equations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.728290Z

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Unavailable: canonical work link unavailable.

Observation 5d5d42c7-d795-4497-b538-b467e29743c8 · outbound

This paper cites Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.802006Z

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Observation 20024314-a640-4fb2-a69a-d2ff3590dd5f · outbound

This paper cites Frisch, B.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Frisch, B

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.864779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a70aaad-ed5a-42b8-85ef-5ec2742db1f0 · outbound

This paper cites Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:18.922758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0792227-25dc-4cdc-b6b2-cfed39a7186b · outbound

This paper cites Lattice BGK model for incompressible Navier - Stokes equation.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Lattice BGK model for incompressible Navier - Stokes equation

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.020810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b91adac-0271-4b4c-965f-064041b2b9d4 · outbound

This paper cites Lattice Boltzmann model for the incompressible Navier - Stokes equation.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Lattice Boltzmann model for the incompressible Navier - Stokes equation

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.109840Z

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Observation b3b1fcda-2fb1-4566-9cb2-e6e7d97089b6 · outbound

This paper cites Discretizations for the incompressible Navier - Stokes equations based on the lattice Boltzmann method.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Discretizations for the incompressible Navier - Stokes equations based on the lattice Boltzmann method

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.190872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3e76de2-5a8f-4f3a-8053-3779c659fdc3 · outbound

This paper cites Convergence of lattice Boltzmann methods for Navier--Stokes flows in periodic and bounded domains.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Convergence of lattice Boltzmann methods for Navier--Stokes flows in periodic and bounded domains

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.282743Z

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Unavailable: canonical work link unavailable.

Observation 36b2d520-56a1-4471-bf2d-7ea0dc4299a8 · outbound

This paper cites The lattice Boltzmann method , volume 10.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations The lattice Boltzmann method , volume 10

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.340007Z

Source-reported events for the cited work

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Observation c169b3ea-45c5-45ad-ad5e-a8c08bbab857 · outbound

This paper cites Lattice Boltzmann model for the compressible Navier-Stokes equations with flexible specific-heat ratio.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Lattice Boltzmann model for the compressible Navier-Stokes equations with flexible specific-heat ratio

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.401069Z

Source-reported events for the cited work

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Observation 6ff3d500-bf10-4a51-b181-ae97bb82258c · outbound

This paper cites McNamara and Gianluigi Zanetti.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations McNamara and Gianluigi Zanetti

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.479541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c78d465-31ab-491f-95a6-eabd1d1b4421 · outbound

This paper cites A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.556714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23bb8fa8-b5d5-47ff-8bad-d143d25c6472 · outbound

This paper cites Lattice BGK models for Navier-Stokes equation.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Lattice BGK models for Navier-Stokes equation

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.635960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f52e4b45-ad08-4c2f-876e-b8f3b0bea498 · outbound

This paper cites Strikwerda.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations Strikwerda

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.685292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cf7428b-1627-417d-b8e6-fed4b93cfb5a · outbound

This paper cites The lattice Boltzmann equation.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations The lattice Boltzmann equation

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.771516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e354ac87-e268-46ff-bb8b-205aa88931be · outbound

This paper cites A positive-and bound-preserving vectorial lattice Boltzmann method in two dimensions.

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations A positive-and bound-preserving vectorial lattice Boltzmann method in two dimensions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T23:16:19.864349Z

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Unavailable: canonical work link unavailable.

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