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 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

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 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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.508031Z digest=sha256:fdd3723085d3c00ce38e8de46ae654dd8bb0a9c0ce80a30547e1f7232ca4064a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.513571Z digest=sha256:a85fd09ae1fe9d41d28506631c77e51fbd9b58f94b9a21c0833bfef10e2817bd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.518471Z digest=sha256:8237b0872ed9d743a54eaf0b640f1d0eb1cb3380067c33276d444f164eb008ed

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.523396Z digest=sha256:673e1f98fb7b0d5f9df0de26d21877a475ddebfa88f5c842e4bf970d8d14b181

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.528650Z digest=sha256:73b75e515fd5ce73f4c11457f8f70e79c60d5dc1d4ff739b8bb7e3367e0f5a65

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.533556Z digest=sha256:5ee899a4082cac5b15ee7830e425abe80242f34a7e031e73f0b800cf752aa7e2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.539073Z digest=sha256:50b2cb3aaeb95465c9294124befc60679b88da075c87c9ae619e7cd0ea5e445f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.544576Z digest=sha256:a2b055cbd61a0de641d9cc2f0693ebd00778b6551f468b80b746316232c2c4ba

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.549166Z digest=sha256:ec42ce742cab0cb79b483da3a8384e1503194e2efedea284a1d0ec521761b060

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.553715Z digest=sha256:7da37455b33fc82359069ec32753e5f5f89ee72ed38eb75b94a48d35de606890

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.558359Z digest=sha256:9fe9e25e8a5ed8c535984517a176f560a525efbee2c613c0f3d62bc4fc79ea49

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.563308Z digest=sha256:e12f3b09b868de5ed2acc6ad6fbb55fe184ffcfed15fcf9006355d153fe69806

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.567627Z digest=sha256:e208c50fb35ba69ee92c9671c6b304332ecb421a7e319b220383a590add9cd30

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.571784Z digest=sha256:257ceddc8dd264d29e13d929f1f2ba587c61442e9fcef427666ba81dc0cd235f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.576101Z digest=sha256:03322eae98e26189451d1d20fbf94a522f639531ae402a98e53a58305adaf782

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.580369Z digest=sha256:2e3c438c80e68cb7c5b896a7899c94df81fd468519adccfc4780eac47fda702a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.584949Z digest=sha256:557460c0e56ec93e4f58864f444e4a1d92e3dd1643b42154539eacba48810ccb

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.589546Z digest=sha256:889e339765b956cfddb00d206f93b703defebc1b08166a6683fa6dcf226ae936

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.594066Z digest=sha256:3ccce83e36c1b86c203408ef526f9909e28b5d8aca1bae093efef7070b799e32

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.598505Z digest=sha256:91470bb4c6ae079eed16626d660379c75ef64288b862a9561acec532de3cb0cd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.603093Z digest=sha256:3966106a6d28b27a26da098588da2865e0ce2b5778449b19230cdca3a670378e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.608036Z digest=sha256:f464626961a66775e6ad7c34569817fa8f7559cd8d5de3057478eb40bf7cc955

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.612839Z digest=sha256:3ee5bf20d21092230d808d66fa23bf649d4d966f4c5ddd91c804650c755af889

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.617255Z digest=sha256:ae65f75eb5505ea75cff1846292da0bf158f292a654b1e72e9d2748f7f35e4cf

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.621824Z digest=sha256:882f7c9cca1d9066fe91b1c3497ec4370c61255c553dade66157197fa0a39f53

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.626374Z digest=sha256:69838466af6298c1dc4a409ab120a37dd4918961d4302369041e285030face08

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.631139Z digest=sha256:9d402c091f8f08ed98fc1e61c9fc0c748cb95ff51043aa272a6bea5488664f55

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T20:41:21.635782Z digest=sha256:ea4e04de14099edfaa0ef5b614b63ce06c6bf1ec0b2061352bebd04ee99100ed

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-07T14:50:48.020842Z digest=sha256:ef69691bbf72c2f338d12790c0fcd13c75322fcd1b2f48514339b9ca72bbdc5a