Paper Citation Record · LEDGER

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2501.11372.

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

pith.paper-citation-record.v1
2501.11372 v1

Coverage vector

measured 23 of 23 reference resolution

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One-hop event checks from named stored sources.

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Pith citing papers itemized under the disclosed page cap.

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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External citation measurements

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Outbound references

Observation bb0b00f4-01a4-4c6b-9c07-153b7b0badbb · outbound

This paper cites Audusse, F.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms Audusse, F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:25:50.218054Z

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Observation 0ea9e672-c4ef-49ea-ac8c-e0029c52882c · outbound

This paper cites doi: 10.1186/ s40323-022-00226-8.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1186/ s40323-022-00226-8

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T18:25:49.316033Z

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Observation 3ec75b7b-5b00-43e1-b5c1-ec4de32aeb5a · outbound

This paper cites doi: ARTN2020033410.1098/rspa.2020.0334.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: ARTN2020033410.1098/rspa.2020.0334

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:25:50.062314Z

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Observation 9ab542e6-2b82-44d9-8c1e-58cde4533f46 · outbound

This paper cites URL <GotoISI>://WOS: 000779208200258.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms URL <GotoISI>://WOS: 000779208200258

Reference 13

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This paper cites doi: ARTN10547810.1016/j.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: ARTN10547810.1016/j

Reference 15

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Observation 54fb7a78-a850-40e7-a67c-66622ca37b4f · outbound

This paper cites doi: 10.1016/j.jhydrol.2024.131263.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1016/j.jhydrol.2024.131263

Reference 16

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Observation b765aae1-0fb9-4400-a844-63f9391c28d7 · outbound

This paper cites URL -http://www.applmathmech.cn/en/article/id/ b8951eb1-be11-4cb5-83a9-8d54dc2fa5f4.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms URL -http://www.applmathmech.cn/en/article/id/ b8951eb1-be11-4cb5-83a9-8d54dc2fa5f4

Reference 18

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Observation b8740720-ab89-4ce0-90c4-b5261c911c28 · outbound

This paper cites doi: ARTN11076810.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: ARTN11076810

Reference 20

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Observation 6f0e5c0b-3bab-4427-8cbc-8767284fd2b9 · outbound

This paper cites PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs

Reference 23

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Observation 14433237-855c-49c1-b6a2-ef14c3439882 · outbound

This paper cites URL <GotoISI>://WOS:000949529900008.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms URL <GotoISI>://WOS:000949529900008

Reference 1397

Resolution: verified exact; doi, observed 2026-08-10T18:25:49.305535Z

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Observation 0142e4d5-0790-4397-ac65-cbd83c2f3eae · outbound

This paper cites doi: DOI10.1002/cpa.3160070112.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: DOI10.1002/cpa.3160070112

Reference 1954

Resolution: unresolved; no resolver link, observed 2026-08-10T18:25:49.199260Z

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Observation d9fa0a3e-b401-4085-9edd-85df235633ee · outbound

This paper cites doi: 10.1007/978-3-662-03490-3_10.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1007/978-3-662-03490-3_10

Reference 1997

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:25:49.632954Z

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Observation 20b1b1a2-4d5c-491d-9e51-439334b3d938 · outbound

This paper cites doi: DOI:10.1017/CBO9780511791253.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: DOI:10.1017/CBO9780511791253

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-10T18:25:49.206317Z

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Observation bedf5720-e725-4907-b297-42cdfd38835e · outbound

This paper cites doi: 10.1137/S1064827503431090.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1137/S1064827503431090

Reference 2004

Resolution: unresolved; no resolver link, observed 2026-08-10T18:25:49.163436Z

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Observation 284be975-241c-48f6-890f-ed760a770945 · outbound

This paper cites doi: 10.1016/j.advwatres.2005.03.007.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1016/j.advwatres.2005.03.007

Reference 2005

Resolution: verified exact; doi, observed 2026-08-10T18:25:49.280039Z

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Observation fc5cde11-8ad1-4f92-9f9c-80998f0467f9 · outbound

This paper cites doi: 10.1016/j.jcp.2011.03.042.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1016/j.jcp.2011.03.042

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-10T18:25:49.181743Z

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Observation 72c7d744-2c4e-4571-8c1a-27309814dcda · outbound

This paper cites doi: 10.1016/j.jcp.2018.10.045.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1016/j.jcp.2018.10.045

Reference 2019

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Observation 2776b1d2-f074-4c55-9721-1ec0ddcdd7d3 · outbound

This paper cites doi: 10.1007/s13137-020-00167-7.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: 10.1007/s13137-020-00167-7

Reference 2020

Resolution: verified exact; doi, observed 2026-08-10T18:25:49.290189Z

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Observation ecd40c01-0552-416a-af68-9cf78f820ab2 · outbound

This paper cites doi: ARTN11354710.1016/j.cma.2020.113547.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: ARTN11354710.1016/j.cma.2020.113547

Reference 2021

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:25:49.990479Z

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Observation 26ce8152-39d5-40f8-ad62-7e7001a5c5c0 · outbound

This paper cites doi: ARTN11102410.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: ARTN11102410

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-10T18:25:49.167221Z

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This paper cites doi: https://doi.org/10.1016/j.cma.2022.115671.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: https://doi.org/10.1016/j.cma.2022.115671

Reference 2023

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Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: ARTNe2023WR03658910.1029/2023WR036589

Reference 2024

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:25:50.135782Z

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Observation c836ccd0-dd6e-483e-ab84-19dae23c3ff1 · outbound

This paper cites doi: Artn0402406010.1061/Jhend8.Hyeng-13572.

Physics-Informed Neural Networks for Solving the Two-Dimensional Shallow Water Equations with Terrain Topography and Rainfall Source Terms doi: Artn0402406010.1061/Jhend8.Hyeng-13572

Reference 2025

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:25:49.429753Z

Source-reported events for the cited work

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Pith citing papers

No inbound Pith citation observations are available.