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Paper Citation Record · LEDGER

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation

As of 16 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2608.06533.

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pith.paper-citation-record.v1
2608.06533 v1

Coverage vector

measured 51 of 51 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T14:43:41.902858Z

measured 51 of 51 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 69d6abf1-b6a0-42da-9d48-44c52ad7d13b · outbound

This paper cites Thomas Beale and Andrew Majda.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Thomas Beale and Andrew Majda

Reference 1

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f2a27801-4bad-47c7-8d0a-8cddb4f2ada6 · outbound

This paper cites Thomas Beale and Andrew Majda.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Thomas Beale and Andrew Majda

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b29d33b8-e2e7-41a1-b5bc-ed86643d6492 · outbound

This paper cites Global solutions of two-dimensional Navier-Stokes and Euler equations.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Global solutions of two-dimensional Navier-Stokes and Euler equations

Reference 3

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Observation b492096b-6f5a-45f4-b690-912f1ee16497 · outbound

This paper cites Berselli and Stefano Spirito.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Berselli and Stefano Spirito

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1029106a-d0a7-42f1-a09e-8e876476ef75 · outbound

This paper cites Weighted Csisz´ ar-Kullback-Pinsker inequalities and ap- plications to transportation inequalities.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Weighted Csisz´ ar-Kullback-Pinsker inequalities and ap- plications to transportation inequalities

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9992bf61-26a6-4ef8-8274-f9ce77d318f1 · outbound

This paper cites Convergence of random batch method with replacement for interacting particle systems.Mathematics of Computation, 2026.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Convergence of random batch method with replacement for interacting particle systems.Mathematics of Computation, 2026

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3935f0eb-0ba5-4594-82ef-152ee53ec1df · outbound

This paper cites Carrillo, Shi Jin, Lei Li, and Yuhua Zhu.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Carrillo, Shi Jin, Lei Li, and Yuhua Zhu

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.272915Z digest=sha256:b3d1fef8d93be93d6c38be70dcc6e2d594e7ea2bf38782e7c7f7fdf9f62f0187

Observation a257a1ba-fbdd-4f50-90ef-0bb4dee374cf · outbound

This paper cites Carrillo, Shi Jin, and Yijia Tang.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Carrillo, Shi Jin, and Yijia Tang

Reference 8

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6f4a4a67-c674-4d18-acc0-1f5c7c163d93 · outbound

This paper cites Patacchini.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Patacchini

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b3776079-53a3-4f8e-87f8-f0d8cf8989d6 · outbound

This paper cites an unresolved cited work.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Unresolved cited work

Reference 10

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raw_fallback, observed 2026-08-15T14:43:43.071187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 04c2da18-c7bb-4738-8a05-bd8157c9d183 · outbound

This paper cites A blob method for the aggregation equation.Mathematics of Computation, 85(300):1681–1717, 2016.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A blob method for the aggregation equation.Mathematics of Computation, 85(300):1681–1717, 2016

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2668fcc4-61d6-4af9-8602-ca0b9ba3f0f8 · outbound

This paper cites A collision-oriented interacting particle system for Landau-type equations and the molecular chaos.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A collision-oriented interacting particle system for Landau-type equations and the molecular chaos

Reference 12

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ae13715b-4bb3-4d5a-bbf4-bb996737c33f · outbound

This paper cites A structure-preserving collisional particle method for the Landau kinetic equation.Journal of Computational Physics, 543:114387, 2025.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A structure-preserving collisional particle method for the Landau kinetic equation.Journal of Computational Physics, 543:114387, 2025

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.312674Z digest=sha256:668f5c6cfac8be71a5dfb4cea8a8ac4d1c7763bff44030f620862200e19100f2

Observation 545d77c3-791c-4c66-99c9-878a14044391 · outbound

This paper cites Quantitative propagation of chaos for 2D viscous vortex model on the whole space.Peking Mathematical Journal, 2026.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Quantitative propagation of chaos for 2D viscous vortex model on the whole space.Peking Mathematical Journal, 2026

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.319958Z digest=sha256:e633c8c28bc113640ce3ec80922af03a56f4baea8e5b963813be0920485d3905

Observation 89ec95f4-7994-4ed1-95db-27221dc55cc0 · outbound

This paper cites Quantitative propagation of chaos for 2D viscous vortex model with general circulations on the whole space.Nonlinearity, 39(1):015009, 2026.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Quantitative propagation of chaos for 2D viscous vortex model with general circulations on the whole space.Nonlinearity, 39(1):015009, 2026

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.326057Z digest=sha256:9b5b1f329ef8a83a8fca9221189bb1bd93f1dafeecd8d6f2e69ce3872188b7a1

Observation 5d9d8533-aff4-4fe4-ba8b-fb3243973b0b · outbound

This paper cites Propagation of chaos for the 2D viscous vortex model.Journal of the European Mathematical Society, 16(7):1423–1466, 2014.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Propagation of chaos for the 2D viscous vortex model.Journal of the European Mathematical Society, 16(7):1423–1466, 2014

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.332292Z digest=sha256:a17ba5f1683f135d0688e79313b78ee1d4a6312be538a252ee36e95ec49e2e14

Observation 030dc712-13b8-49f6-9e34-cb14913be959 · outbound

This paper cites On the dynamics of large particle systems in the mean field limit.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation On the dynamics of large particle systems in the mean field limit

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.969081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.336648Z digest=sha256:35c2245d7d1d14bf8c69e1c0b3e3a2823ad4fc66c6749a053fbd0115daa18726

Observation 5d195631-b102-4c1a-9c76-b6508320b8e2 · outbound

This paper cites The random batch method forN-body quantum dynamics.Journal of Computational Mathematics, 39(6):897–922, 2021.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation The random batch method forN-body quantum dynamics.Journal of Computational Mathematics, 39(6):897–922, 2021

Reference 18

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raw_fallback, observed 2026-08-15T14:43:42.952912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.342470Z digest=sha256:434f9d599f75001d811f7e5c4cf73ffe483496158f8cee4ef12a3088f416ad4c

Observation 55a8a505-4cf2-4d44-8040-c6814bee438a · outbound

This paper cites Convergence of the random vortex method.Communications on Pure and Applied Mathematics, 40(2):189–220, 1987.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Convergence of the random vortex method.Communications on Pure and Applied Mathematics, 40(2):189–220, 1987

Reference 19

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raw_fallback, observed 2026-08-15T14:43:42.937453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cb237dde-7622-4008-9b97-bc6c12f9d857 · outbound

This paper cites Hou, and John Lowengrub.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Hou, and John Lowengrub

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.921435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.353068Z digest=sha256:e69bf94fdee94557dd0c5cce033f6acde923e8f28972495734c009f8be1e8b42

Observation a6229a45-895d-4c9a-b02d-1d7570d08390 · outbound

This paper cites Tinsley Oden, and Serge Prudhomme.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Tinsley Oden, and Serge Prudhomme

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.906812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.358369Z digest=sha256:483ccbbbea84a94020191681aa4bb6733c6d63b1ecd6b147c11a0aa05dc8989b

Observation e03f62f8-7a9f-4511-975b-13a77c3a28d3 · outbound

This paper cites Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems.Journal of the European Mathematical Society, 27(6):2359–2386, 2025.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems.Journal of the European Mathematical Society, 27(6):2359–2386, 2025

Reference 22

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raw_fallback, observed 2026-08-15T14:43:42.891606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.363728Z digest=sha256:06ffd40251074a5aba711d3ec36bacb5a3f0c8ca42847166a196d3b8919d18aa

Observation 56540ef7-39b4-4a6d-9783-f5c8bf86fd39 · outbound

This paper cites Uniform-in-time error estimate of the random batch method for the Cucker–Smale model.Mathematical Models and Methods in Applied Sciences, 31(6):1099–1135, 2021.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Uniform-in-time error estimate of the random batch method for the Cucker–Smale model.Mathematical Models and Methods in Applied Sciences, 31(6):1099–1135, 2021

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.876280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e0beba17-7d8d-4204-afe1-269d69bc9bdc · outbound

This paper cites an unresolved cited work.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Unresolved cited work

Reference 24

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raw_fallback, observed 2026-08-15T14:43:42.859464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.373929Z digest=sha256:c7aca91d8be2e5dcdafb297501093354b04d7517685682cb532d1364b3d4db0f

Observation 8e2e94d9-8654-465f-943b-3622d4b909bd · outbound

This paper cites Hou and John Lowengrub.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Hou and John Lowengrub

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.842039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.378621Z digest=sha256:60c479d9c571afbcbfa7c48f61035b77c8ec6538c040cd8a74d438da9b72e1f8

Observation 2fba1f81-b124-48af-addb-cb25a43f650e · outbound

This paper cites Mean field error estimate of the random batch method for large interacting particle system.ESAIM: Mathematical Modelling and Numerical Analysis, 59(1):265–289, 2025.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Mean field error estimate of the random batch method for large interacting particle system.ESAIM: Mathematical Modelling and Numerical Analysis, 59(1):265–289, 2025

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.826285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.384261Z digest=sha256:6edd0474e0da83c6b594f9d3a2e6748d15f288f638964723d25cf3cb928b929b

Observation 1b4f5026-5911-4e5a-b572-50bde2363666 · outbound

This paper cites A review of the mean field limits for Vlasov equations.Kinetic and Related Models, 7(4):661–711, 2014.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A review of the mean field limits for Vlasov equations.Kinetic and Related Models, 7(4):661–711, 2014

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.809361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.389427Z digest=sha256:f89f835c7d5703a0ae7bc396893a9218a888214ff79ff3b7c460069057c5cc56

Observation 2311d8cd-f8fa-4f0c-8ec7-70d94df58a81 · outbound

This paper cites Mean field limit for stochastic particle systems.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Mean field limit for stochastic particle systems

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.794085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.395097Z digest=sha256:06008cbb61beea8c7f08c6dcaa0778515eb5792a9fbde492dc1200e4639a5535

Observation 738c3c2c-9935-4ec5-b9a7-26023c37cc2b · outbound

This paper cites Quantitative estimates of propagation of chaos for stochastic systems withW −1,∞ kernels.Inventiones Mathematicae, 214(1):523–591, 2018.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Quantitative estimates of propagation of chaos for stochastic systems withW −1,∞ kernels.Inventiones Mathematicae, 214(1):523–591, 2018

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.776954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.399951Z digest=sha256:3ab7276a5e3e55080f2a2058294757451006afc927c24879c73525663a6fb83e

Observation 1b35fc14-6034-48af-9aa7-2202d1fcc82b · outbound

This paper cites On the mean field limit of the random batch method for interacting particle systems.Science China Mathematics, 65(1):169–202, 2022.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation On the mean field limit of the random batch method for interacting particle systems.Science China Mathematics, 65(1):169–202, 2022

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.760714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.420767Z digest=sha256:216d7cbc7b66980c70dd8e6ede9b0b8412f580c5533b6398e8353d683a1d30c3

Observation 0c0a6de4-7471-4a1b-80ae-cdd87c06808a · outbound

This paper cites Random batch methods (RBM) for interacting particle systems.Journal of Computational Physics, 400:108877, 2020.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Random batch methods (RBM) for interacting particle systems.Journal of Computational Physics, 400:108877, 2020

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.745851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.470249Z digest=sha256:48087801489abd2142262241fb15dd965a3ca437690a00803552b27e2882c15f

Observation 9d56a084-0dd1-4a6d-926e-b7b206ff59e1 · outbound

This paper cites Convergence of the random batch method for interacting particles with disparate species and weights.SIAM Journal on Numerical Analysis, 59(2):746– 768, 2021.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Convergence of the random batch method for interacting particles with disparate species and weights.SIAM Journal on Numerical Analysis, 59(2):746– 768, 2021

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.731267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.557557Z digest=sha256:e3ecfa1919c6c71b311f9e12c2d423e2818b3d5c5a6b3d8ac169185f0f27013e

Observation 662da9a7-96b8-423d-8f9a-bc2b8ccf6dfe · outbound

This paper cites On the random batch method for second-order interacting particle systems.Multiscale Modeling & Simulation, 20(2):741–768, 2022.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation On the random batch method for second-order interacting particle systems.Multiscale Modeling & Simulation, 20(2):741–768, 2022

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.715936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.593073Z digest=sha256:53a34c380a76000a8f670392bc4da077fbb299e7ddc9c803844ae41e0724f3ce

Observation 3de5b3cb-93c7-4db1-93b2-b026532e812e · outbound

This paper cites A random batch Ewald method for particle systems with Coulomb interactions.SIAM Journal on Scientific Computing, 43(4):B937–B960, 2021.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A random batch Ewald method for particle systems with Coulomb interactions.SIAM Journal on Scientific Computing, 43(4):B937–B960, 2021

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.699934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.598496Z digest=sha256:f688a8afde7114790af798fd00a00a997c1c0c58257715e22c8124bb72c13030

Observation c2f3086d-e7fc-42c1-a332-de6affb1924c · outbound

This paper cites Ergodicity and long-time behavior of the random batch method for interacting particle systems.Mathematical Models and Methods in Applied Sciences, 33(1):67–102, 2023.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Ergodicity and long-time behavior of the random batch method for interacting particle systems.Mathematical Models and Methods in Applied Sciences, 33(1):67–102, 2023

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.684764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.603897Z digest=sha256:829dfb634242f555cc0f456f33a7de0616fe1f308dbc0537b813195cb98c8421

Observation b2eb2a5a-425f-4793-bf05-fe8c53eb958f · outbound

This paper cites Random batch algorithms for quantum Monte Carlo simulations.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Random batch algorithms for quantum Monte Carlo simulations

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.667925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.610998Z digest=sha256:8aa1866a9453cad77dc0dc6636c5728b8beaa509a80abeb04d247bbf736d49db

Observation da45c77e-6bf0-40f9-a9c2-daa30659fa34 · outbound

This paper cites Asymptotic uniform estimate of random batch method with replacement for the Cucker–Smale model.Mathematical Models and Methods in Applied Sciences, pages 1–57, 2026.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Asymptotic uniform estimate of random batch method with replacement for the Cucker–Smale model.Mathematical Models and Methods in Applied Sciences, pages 1–57, 2026

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.653468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.616554Z digest=sha256:28bcde654d8de6111a92b11b76f6a555db3f71aae533c6231e3ee9512fa26990

Observation cf1abe97-a090-4005-86c6-44755a7321e6 · outbound

This paper cites Sur le mouvement d’un liquide visqueux emplissant l’espace.Acta Mathematica, 63:193–248, 1934.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Sur le mouvement d’un liquide visqueux emplissant l’espace.Acta Mathematica, 63:193–248, 1934

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.635952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.623847Z digest=sha256:c52622bf5b2eaef82353a06ab54413eb8f23e852c37c7a52ac905087744b9e74

Observation 3b81d040-6927-4f38-90de-7ca5a1026a15 · outbound

This paper cites A stochastic version of Stein variational gradient descent for efficient sampling.Communications in Applied Mathematics and Computational Science, 15(1):37–63, 2020.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A stochastic version of Stein variational gradient descent for efficient sampling.Communications in Applied Mathematics and Computational Science, 15(1):37–63, 2020

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.619569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.632820Z digest=sha256:4b147f7da918fb05d4283eaa014b8668befe5eef1df15bceb6651a10c9c5ecde

Observation f41c1b9d-c41f-421b-bf94-55a49b056de0 · outbound

This paper cites Some random batch particle methods for the Poisson– Nernst–Planck and Poisson–Boltzmann equations.Communications in Computational Physics, 32(1):41–82, 2022.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Some random batch particle methods for the Poisson– Nernst–Planck and Poisson–Boltzmann equations.Communications in Computational Physics, 32(1):41–82, 2022

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.602560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.640415Z digest=sha256:8a156980eaf0a89549e258da123ba88f5726012da7dd20b223615c079f48b9e7

Observation d8b99092-a67f-43aa-9cde-def58030e5cb · outbound

This paper cites Propagation of chaos and approximation error of random batch particle system in the mean field regime.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Propagation of chaos and approximation error of random batch particle system in the mean field regime

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:43:41.953071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.647149Z digest=sha256:f40ffca1e3ab4e64be45a520af5fd499c5c596d05df4eeea544441e45ff05c51

Observation b947e4a9-2b34-44a6-8803-b3f4a18871ed · outbound

This paper cites A random-batch Monte Carlo method for many-body systems with singular kernels.SIAM Journal on Scientific Computing, 42(3):A1486–A1509, 2020.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation A random-batch Monte Carlo method for many-body systems with singular kernels.SIAM Journal on Scientific Computing, 42(3):A1486–A1509, 2020

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.585023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.676370Z digest=sha256:1bfb9d52dc65d1238afaa3d26426aab866cfad68be140199e9f2833dfde0f5d1

Observation 0fe015b7-bbba-4857-93c7-0b5ba67e5f09 · outbound

This paper cites Superscalability of the random batch Ewald method.The Journal of Chemical Physics, 156(1):014114, 2022.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Superscalability of the random batch Ewald method.The Journal of Chemical Physics, 156(1):014114, 2022

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.528198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.745648Z digest=sha256:0b1f30c19c1e1f879f6263588465d68569a56f9f12ef13a5af85fe115e97e46d

Observation a0261a12-38ad-4614-9a1e-fa4244ac89e0 · outbound

This paper cites On random batch methods (RBM) for interacting particle systems driven by L´ evy processes.Stochastics and Dynamics, 25(7–8):2550034, 2025.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation On random batch methods (RBM) for interacting particle systems driven by L´ evy processes.Stochastics and Dynamics, 25(7–8):2550034, 2025

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.397238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.799577Z digest=sha256:482a48926328d0f187bd67e15750d975ff47075dbae1c80bbbe6c3f3b41ebd60

Observation a428f4e7-ab2f-44ac-95ca-ed13eda81cd8 · outbound

This paper cites Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheet data.Communications on Pure and Applied Mathematics, 48(6):611–628, 1995.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheet data.Communications on Pure and Applied Mathematics, 48(6):611–628, 1995

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.378603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.871969Z digest=sha256:afca22bfcc998e2983d806d4311124f6e077d6bb6d1a7d508d84ed69cfb6a378

Observation 6548658b-88f9-4dd9-92c6-8f78c7e40481 · outbound

This paper cites Convergence of the random vortex method in two dimensions.Journal of the American Mathematical Society, 1(4):779–804, 1988.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Convergence of the random vortex method in two dimensions.Journal of the American Mathematical Society, 1(4):779–804, 1988

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.359019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.877032Z digest=sha256:61936dc038105e5b1621041223ea36b39214b7a944d6134363f528d612479e41

Observation 3f6067f0-41d2-4f08-9516-7fd74879598e · outbound

This paper cites Hydrodynamics in two dimensions and vortex theory.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Hydrodynamics in two dimensions and vortex theory

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.338924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.882160Z digest=sha256:dcb6ce62bc2eefaac951efa7875105887531f809844c620d1387db777fc869cd

Observation bf5a8b14-6465-42d1-ace1-af1480ce181e · outbound

This paper cites Propagation of chaos for the two-dimensional Navier–Stokes equation.Pro- ceedings of the Japan Academy, Series A, Mathematical Sciences, 62(1):8–11, 1986.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Propagation of chaos for the two-dimensional Navier–Stokes equation.Pro- ceedings of the Japan Academy, Series A, Mathematical Sciences, 62(1):8–11, 1986

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.274503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.887296Z digest=sha256:d8838f2919eaf9973188faa29fa086bb9e24ed15a0aa58baea638679c89d877b

Observation 2abcdfb6-d488-4589-9e3a-0c7f39a72908 · outbound

This paper cites Propagation of chaos for the two-dimensional Navier–Stokes equation.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Propagation of chaos for the two-dimensional Navier–Stokes equation

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.086027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.892872Z digest=sha256:663acf4378b1256ae076947f31fc2f3072c2408f7b43d8e90f53a5d75309623f

Observation 1843b53a-8cc1-4f49-a9de-88f5af30bfe3 · outbound

This paper cites On the mean-field limit of the Cucker–Smale model with random batch method.Kinetic and Related Models, 18(6):872–910, 2025.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation On the mean-field limit of the Cucker–Smale model with random batch method.Kinetic and Related Models, 18(6):872–910, 2025

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.025473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.898308Z digest=sha256:b8683946e915474d2be92308488772d834c8c24fbc3bf0beaf4ad412a67ca27f

Observation 168080cf-c9a2-42be-86b2-16b20dd5ffe0 · outbound

This paper cites Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits.IMA Journal of Numerical Analysis, 44(3):1660–1698, 2024.

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation Error analysis of time-discrete random batch method for interacting particle systems and associated mean-field limits.IMA Journal of Numerical Analysis, 44(3):1660–1698, 2024

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:43:42.007198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:43:41.902858Z digest=sha256:45c9b32f197f7e1dbdf3ffe32b42d6d9ae62d567258a340cbd6b0684aa37d355

Pith citing papers

No inbound Pith citation observations are available.