Pith. sign in

Paper Citation Record · LEDGER

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

As of 13 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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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

  • verified exact2
  • verified fuzzy18
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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
unresolved
raw_fallback, observed 2026-08-10T20:41:22.221590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.508031Z digest=sha256:c73ed8911a5d7bf0bce2185ff9fcf6a07042c6fea39212b3a91c34f99865ceb6

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.205968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.513571Z digest=sha256:2a2c7be80f5dd84f57017a854826f7b42fb2bfb514a3a75b5c3361ac8fbb6d5f

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

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:41:22.191195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.518471Z digest=sha256:4be13939854cc33a7b934d11c9f55d00d225357f2e8560588ba456f6d619c54b

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.176104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.523396Z digest=sha256:c94904b8f64e88daaf12eb60c5b1ba35dc22a48c0de4d608f57e81b8bac5b7e0

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

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:41:22.161212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.528650Z digest=sha256:1ae985c158d4adb270fde16f31d233579f7c106dd1501dca4ca08fc4b2a111f4

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
unresolved
raw_fallback, observed 2026-08-10T20:41:22.146819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.533556Z digest=sha256:4ec2559a1b33bbde47bc8acba8b09b8b10b67f496d8d2a23e0dcf3f63b9b73ca

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
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.131788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.539073Z digest=sha256:b155d33daad5b591b9c47f8da81ca55824d86c1fefef7473fbe714807b3629c2

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.115914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.544576Z digest=sha256:092180fcc6ef9733ae519b8d885385bb47456b244a604dd71101ca8ad2949f22

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
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.100999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.549166Z digest=sha256:d215f24e5df6de6d5c14fbaf13d44ea1503f304b8ac11d966fe2cd14dad9f846

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

Resolution
verified exact
doi, observed 2026-08-10T20:41:21.673680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.553715Z digest=sha256:01b3e4c0e5a64808d6f1138e77d2305754df5347b9bfc5f0ecd78b7f0a17c592

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
verified exact
local_arxiv, observed 2026-08-10T20:41:21.812556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.558359Z digest=sha256:d3fd6c6bc953b0ebc2bab2c520be836880b0566ca3feb6829e1b7bdb0654f21a

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

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:41:22.085409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.563308Z digest=sha256:60f130413ac95cbc5544d4a592d7f6bfdd1b9b874771e097a9c59bdd2af88642

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.070321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.567627Z digest=sha256:13de72b6cce032443e6fd5ea008bbec14e0b3aff86ba6260cc6d9a1e3cced438

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

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:41:22.054145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.571784Z digest=sha256:1c0c0cb7a32120ddbdff913fea0027acceb46d0621ad044e3fd93d5459f517c3

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
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.038121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.576101Z digest=sha256:9cfa6d3653fc7d545ff74bff39c1fa0e7c47439e5192ffee638771dc5cee782c

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.022111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.580369Z digest=sha256:bda2a4b057c5668e6c2033e04d23d0a09ae20d22830365cba46a13beed444cdb

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
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:22.006148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.584949Z digest=sha256:0250b7d10cf7c3612c4ddd8b6f2282679c896dc570f65f87b563d0a07208a28a

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:21.990722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.589546Z digest=sha256:8c28f4fba3e4d2c2b16540f533282557063c46529b1dd10758910db777049479

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

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:41:21.974999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.594066Z digest=sha256:20d8534d1d1b2645b827401fd8507968365e2f714a26b98f7f19118da3bb2424

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:21.960057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.598505Z digest=sha256:6bb48785a7e7d4b814809a13a1f10cc8f6cffc67c5cab355852f806189306dfa

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
raw_fallback, observed 2026-08-10T20:41:21.944934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.603093Z digest=sha256:5a59ae3996bec3c046391842496a662faa18fb88e2c32a24293a8ef0e34db94d

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:21.927147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.608036Z digest=sha256:228e409bfc876cdca280aebfab5b7f618a770ad81e6e0d53106fd8d6967c1d31

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:21.911009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.612839Z digest=sha256:f80464045d940f5a13320fc7f89a4254c4b3449137de2fcce5c0274c6e26d113

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
raw_fallback, observed 2026-08-10T20:41:21.894088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.617255Z digest=sha256:1e768b4e4ded62865c3643036111c24b06b09794a07fe9ba05b0e0e3706310d2

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:41:21.876968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.621824Z digest=sha256:56ed6a5406505545ad3ce1ec45e42f466aca380d5cebaa36a2e80eaf07eda3f9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.626374Z digest=sha256:77e3fb24519dbb7026a4b6c7d804a9575839f3dd4c6ae6cd222ee96d8d70d369

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
raw_fallback, observed 2026-08-10T20:41:21.844933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.631139Z digest=sha256:1adc1e5708d27410fa36977983925a9e89e93d97677383592da5330f5172c73d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T20:41:21.635782Z digest=sha256:6e7bdb2bfac435b1318882f5a2eb0ada2ccb460737f86673efb835a957a4bffb

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-07T14:50:48.020842Z digest=sha256:52d919dceecc538be65ef318c123d99772a6b7a5ac659686654c8198e7dfd05b