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Paper Citation Record · LEDGER

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law

As of 15 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2501.07934.

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

pith.paper-citation-record.v1
2501.07934 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:41:21.635782Z

measured 29 of 29 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:50:48.020842Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T14:50:51.285556Z

Reference resolution

28 of 28 outbound references displayed

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External citation measurements

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Outbound references

Observation f3614d58-de04-4e7c-9091-928f33827621 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 1

Resolution
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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 d5de1219-5927-4aa8-b0a0-8e6d1eb5ae1f · outbound

This paper cites Aregba-Driollet and R.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Aregba-Driollet and R

Reference 2

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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.

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Observation 8a809993-9d06-42da-9b30-da3465764da1 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 3

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Observation ff0899f8-c62b-4408-abf0-c9b8884bb69c · outbound

This paper cites Bellotti , Numerical analysis of lattice Boltzmann schemes: from fundamental issues to efficient and accurate adaptive methods, PhD thesis, Institut Polytechnique de Paris, 2023.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Bellotti , Numerical analysis of lattice Boltzmann schemes: from fundamental issues to efficient and accurate adaptive methods, PhD thesis, Institut Polytechnique de Paris, 2023

Reference 4

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Observation ac0fbff9-69fa-4ef4-ae3b-e8d152d96253 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 5

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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 e9ecca08-4aa2-4f85-932c-a39bb7d97a15 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 6

Resolution
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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.

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Observation e3f95d8d-f215-4422-aef4-9114dccf2089 · outbound

This paper cites Bellotti, B.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Bellotti, B

Reference 7

Resolution
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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.

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Observation 6babc410-e15e-4b52-90e9-8053e858b981 · 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), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Bouchut, Construction of BGK models with a family of kinetic entropies for a given system of conservation laws , Journal of Statistical Physics, 95 (1999), pp

Reference 8

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Observation 901ab366-745c-4d8d-a702-4a76484efb6f · outbound

This paper cites Brenner, V.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Brenner, V

Reference 9

Resolution
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Observation 9c8115fc-12f6-4c55-a296-fcfaff051322 · outbound

This paper cites Caetano, F.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Caetano, F

Reference 10

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Observation a7130cad-2f73-4050-948d-1942c9dfcdaa · outbound

This paper cites A unified fourth-order Bhatnagar-Gross-Krook lattice Boltzmann model for high-dimensional linear hyperbolic equations.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law A unified fourth-order Bhatnagar-Gross-Krook lattice Boltzmann model for high-dimensional linear hyperbolic equations

Reference 11

Resolution
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Source-reported events for the cited work

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Observation 73a8f217-246e-4e0e-9b24-a80c971acfb6 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 12

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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.

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Observation d99ab69d-3ad9-4461-9bc2-05ebb7d1d6c9 · outbound

This paper cites Dellacherie , Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation, Acta Applicandae Mathematicae, 131 (2014), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Dellacherie , Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation, Acta Applicandae Mathematicae, 131 (2014), pp

Reference 13

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Observation 24abfbed-14c1-434b-8b06-d8cbd26f4400 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 14

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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 052319d4-9d95-4869-913c-466e6092e7a0 · outbound

This paper cites d’Humi`eres, Generalized lattice-Boltzmann equations, Rarefied gas dynamics, (1992).

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law d’Humi`eres, Generalized lattice-Boltzmann equations, Rarefied gas dynamics, (1992)

Reference 15

Resolution
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Source-reported events for the cited work

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Observation 9cc6a989-0e90-4f3e-b67f-1b84925afd3d · outbound

This paper cites Dubois, Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes, Asymptotic Analysis, 127 (2022), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Dubois, Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes, Asymptotic Analysis, 127 (2022), pp

Reference 16

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Observation c0a8c1c7-16ec-4fd0-96ba-87bf13fae195 · outbound

This paper cites Dubois, B.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Dubois, B

Reference 17

Resolution
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Observation 787e49d7-76a4-4e84-a294-0cc95cb53e61 · outbound

This paper cites Ginzburg, Variably saturated flow described with the anisotropic lattice Boltzmann methods, Computers & Fluids, 35 (2006), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Ginzburg, Variably saturated flow described with the anisotropic lattice Boltzmann methods, Computers & Fluids, 35 (2006), pp

Reference 18

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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.

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Observation 91c93676-6970-425a-a034-ab587c675c08 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 19

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Observation ce6af3c9-7041-429c-a80c-f5f9fe7565a9 · outbound

This paper cites Ginzburg, F.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Ginzburg, F

Reference 20

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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.

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Observation 1037ac6d-368d-479e-9624-0b2a069f58b5 · outbound

This paper cites Godlewski and P.-A.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Godlewski and P.-A

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation ba4e610b-1dcd-4678-bcf2-7e1a02130fbb · 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.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Graille , Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method , Journal of Computational Physics, 266 (2014), pp

Reference 22

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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 b5e15bd4-26a4-4615-b86d-3dd06cc70af0 · outbound

This paper cites Hundsdorfer and S.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Hundsdorfer and S

Reference 23

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

source=pdf_text observed=2026-08-10T20:41:21.612839Z digest=sha256:e61dc0bccbbc430bad82a27bb84f171d7ccd0eb0b06f3e7e9f7013511b28e488

Observation ca4bbe0c-6601-496b-b28e-c6655b6e5196 · outbound

This paper cites Hundsdorfer, S.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Hundsdorfer, S

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

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Observation 1cdfdc74-e91c-4c36-a8ef-4fc397c51693 · outbound

This paper cites Natalini, A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws, Journal of Differential Equations, 148 (1998), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Natalini, A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws, Journal of Differential Equations, 148 (1998), pp

Reference 25

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

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Observation 5019c6f4-dc88-4c51-abb9-3ae9c4921449 · outbound

This paper cites Sabac, The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws, SIAM Journal on Numerical Analysis, 34 (1997), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Sabac, The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws, SIAM Journal on Numerical Analysis, 34 (1997), pp

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:21.860327Z

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.

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Observation 2f23f6f5-9e35-4b64-8057-6c69fc8aa86b · outbound

This paper cites Teng, Error bound between monotone difference schemes and their modified equations , Mathematics of Computation, 79 (2010), pp.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Teng, Error bound between monotone difference schemes and their modified equations , Mathematics of Computation, 79 (2010), pp

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 4ba768bc-403d-4c1f-b68d-283c945eba34 · outbound

This paper cites an unresolved cited work.

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:41:21.828401Z

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.

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Pith citing papers

Observation 70324262-2401-4fa5-a4a9-f3ba30fe5e64 · inbound

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

Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:50:51.355929Z

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.

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