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Paper Citation Record · LEDGER

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions

As of 14 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2411.15001.

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

pith.paper-citation-record.v1
2411.15001 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:44:55.762030Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:50:51.070050Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T20:32:37.935689Z

Reference resolution

44 of 44 outbound references displayed

  • verified exact2
  • verified fuzzy30
  • unresolved11
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74ee24d5-60ad-4811-b03c-66cda3a30f4c · outbound

This paper cites Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: one-dimensional case.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: one-dimensional case

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0535a4b0-210f-4f97-9551-9ed6e2f3723c · outbound

This paper cites Abgrall, Y.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Abgrall, Y

Reference 2

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation fe2bd688-c874-4864-aa1f-ac91a58f029a · outbound

This paper cites Aregba-Driollet , Convergence of Lattice Boltzmann methods with overrelaxation for a nonlinear conservation law, ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2024), pp.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Aregba-Driollet , Convergence of Lattice Boltzmann methods with overrelaxation for a nonlinear conservation law, ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2024), pp

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 19a70be5-40d7-420b-a0bb-17eaab75af39 · outbound

This paper cites Aregba-Driollet and R.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Aregba-Driollet and R

Reference 4

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 39f7fab2-0d94-4f38-9c76-41769e61bbd8 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation df6f17f7-c1e3-46cf-b5a9-43eb4bd1a020 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 6

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5138d5a4-1f95-4218-8307-e0fbfdf6d442 · outbound

This paper cites Bellotti, B.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Bellotti, B

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 855ccb8f-19ac-4be5-899d-d08c1481d62a · outbound

This paper cites Bouchut , Construction of BGK models with a family of kinetic entropies for a given system of conservation laws., Journal of Statistical Physics, 95 (1999).

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Bouchut , Construction of BGK models with a family of kinetic entropies for a given system of conservation laws., Journal of Statistical Physics, 95 (1999)

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation aa8e7381-78aa-4024-84df-56122c341401 · outbound

This paper cites A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme

Reference 9

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 50f4574d-8f9b-4244-abdc-3159f203c786 · outbound

This paper cites Coulette, C.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Coulette, C

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 55c38aad-bb24-44ee-bbed-887310466d33 · outbound

This paper cites Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T14:44:55.611059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7dfa5003-4e38-4a0c-aab8-987f6e3731f0 · outbound

This paper cites Dubois, Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes , International Journal of Modern Physics C, 25 (2014), pp.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Dubois, Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes , International Journal of Modern Physics C, 25 (2014), pp

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 82411e7a-7f92-413b-9f45-abbd9efb93bc · outbound

This paper cites Graille, Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method, Journal of Computational Physics, 266 (2014), pp.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Graille, Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method, Journal of Computational Physics, 266 (2014), pp

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3363da5a-8401-47b5-8333-6f5d3ea39cad · outbound

This paper cites Guermond, M.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Guermond, M

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 132f6886-2794-4cbf-bb26-36f291c72942 · outbound

This paper cites Guermond and B.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Guermond and B

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1fe0663f-5ffa-46e3-a7d9-fb8b242feec4 · outbound

This paper cites Guermond, B.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Guermond, B

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6913cea2-e8b3-43b1-86f9-c677f4d04354 · outbound

This paper cites Hajduk, Monolithic convex limiting in discontinuous galerkin discretizations of hyperbolic conservation laws, Comput.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Hajduk, Monolithic convex limiting in discontinuous galerkin discretizations of hyperbolic conservation laws, Comput

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6314eb51-e783-4ef1-97e7-27cce32858f2 · outbound

This paper cites Harten, J.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Harten, J

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 50bad741-b2b3-4125-9d67-649bd35af098 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 19

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6e483592-281e-45d2-a828-c048bf8e58a6 · outbound

This paper cites Jin and Z.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Jin and Z

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7cf2bde2-71c8-4d83-a2f0-08d21c5850a8 · outbound

This paper cites Kamm, Evaluation of the Sedov-von Neumann-Taylor Blast Wave Solutions , Tech.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Kamm, Evaluation of the Sedov-von Neumann-Taylor Blast Wave Solutions , Tech

Reference 21

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation fcf7b674-00a8-484f-858b-f19c82162e37 · outbound

This paper cites Kozhanova, R.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Kozhanova, R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.401320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2271baeb-0a78-418d-9727-f6c77b255374 · outbound

This paper cites Kr¨uger, H.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Kr¨uger, H

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a19da368-40a3-48e2-aa5e-af66a42a6650 · outbound

This paper cites Kuzmin, Monolithic convex limiting for continuous finite element discretizations of hyperbolic conser- vation laws , Comput.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Kuzmin, Monolithic convex limiting for continuous finite element discretizations of hyperbolic conser- vation laws , Comput

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2b77fe37-39d4-427a-9e71-1367aa535b9b · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 25

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unresolved
raw_fallback, observed 2026-08-12T14:44:56.345998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5b89aaff-e736-401b-b594-633e5480b3e1 · outbound

This paper cites Mari´e, D.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Mari´e, D

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 17add622-d66d-4cd4-8b42-9a4d25377020 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:44:56.315062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 19a5a4a3-50b6-4880-8100-7d282fb02fe9 · outbound

This paper cites Natalini, A discrete kinetic approximation of entropy solution to multi-dimensional scalar conserva- tion laws , Journal of differential equations, 148 (1998), pp.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Natalini, A discrete kinetic approximation of entropy solution to multi-dimensional scalar conserva- tion laws , Journal of differential equations, 148 (1998), pp

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2352c151-5a8b-4832-b5ff-fdfa5b012789 · outbound

This paper cites Perthame and C.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Perthame and C

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 4bc2d7c7-2bf5-4202-9d53-e01012981ee6 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 30

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unresolved
raw_fallback, observed 2026-08-12T14:44:56.268881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 89c428d4-31e5-4c53-a12b-4b2b7e5d4e3c · outbound

This paper cites Sedov, Similarity and dimensional methods in mechanics , Academic Press, New York, 1959.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Sedov, Similarity and dimensional methods in mechanics , Academic Press, New York, 1959

Reference 31

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b5bc9734-a60c-43eb-ba9e-5b0429af6e39 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:44:56.240155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b0846a34-4d1a-4e27-80b9-b3cdb19469c8 · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 33

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation bbbc2f16-b724-48e0-835e-127358f6b94e · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 34

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unresolved
no resolver link, observed 2026-08-12T14:44:55.714824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 535521f4-a587-424e-8090-4474f02636be · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 35

Resolution
unresolved
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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This paper cites Vilar, Local subcell monolithic DG/FV convex property preserving scheme on unstructured grids and entropy consideration, Journal of Computational Physics, (2024), p.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Vilar, Local subcell monolithic DG/FV convex property preserving scheme on unstructured grids and entropy consideration, Journal of Computational Physics, (2024), p

Reference 36

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 31bf4097-27c4-4852-8b13-a993d096713d · outbound

This paper cites an unresolved cited work.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Unresolved cited work

Reference 37

Resolution
unresolved
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Observation 79f37fa7-51a6-4c6c-a8cc-14b567391307 · outbound

This paper cites Wissocq and R.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Wissocq and R

Reference 38

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verified fuzzy
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8c760053-d0aa-46bf-83f3-93f404bb61a8 · outbound

This paper cites Wissocq and R.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Wissocq and R

Reference 39

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6e91a266-620d-416b-ba5c-b35f066dbada · outbound

This paper cites Wissocq, T.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Wissocq, T

Reference 40

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f8818d6a-fa2b-4633-bbaf-bc5929a441eb · outbound

This paper cites Wissocq, S.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Wissocq, S

Reference 41

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b2efd20f-e520-4312-ac3a-04fbff68395a · outbound

This paper cites Wu and C.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Wu and C

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 112f5907-9b01-4e73-9818-631716cca0f1 · outbound

This paper cites Yang and Z.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Yang and Z

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9cbe78ad-a348-44eb-92a1-d4cb025d99fe · outbound

This paper cites Zhang and C.

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions Zhang and C

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Pith citing papers

Observation 044d621a-16e6-464a-8124-cfe103de8de8 · inbound

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

Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions

Reference 35

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unresolved
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:50:51.070050Z digest=sha256:1a20fb3b3c5923e867a30e1fea538f02ef26e749c5955bc34eb1be005c54c367

Observation 79e7dec1-6c4e-40c7-a29a-b4a762e2587b · inbound

Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics cites this paper.

Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:32:37.937219Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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