Paper Citation Record · LEDGER

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's

As of 23 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2501.04013.

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

pith.paper-citation-record.v1
2501.04013 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:07:19.256921Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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verified fuzzy26
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de99c2c2-5fe0-46be-acd3-24ac745247b8 · outbound

This paper cites an unresolved cited work.

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:07:20.126830Z

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Observation 528bebf3-5716-4251-bf5f-5122cc5de766 · outbound

This paper cites Neurocomputing 317, 28–41 (2018).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Neurocomputing 317, 28–41 (2018)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:20.109332Z

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Observation 5b2176a9-36a8-4ebf-8d78-b77e9b1e5251 · outbound

This paper cites an unresolved cited work.

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:07:20.091966Z

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Observation 6a896402-85e0-45d1-a4f9-7b5b44ff4b27 · outbound

This paper cites Acta Mechanica Sinica 37(12), 1727–1738 (2021).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Acta Mechanica Sinica 37(12), 1727–1738 (2021)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.957949Z

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Observation 85d8e0a6-4bff-4dc5-9771-8d14371d50fb · outbound

This paper cites SIAM Journal on Mathematics of Data Science 1(4), 780–812 (2019).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's SIAM Journal on Mathematics of Data Science 1(4), 780–812 (2019)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.941833Z

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Observation 8193bb89-401a-4832-b6fe-f14e82d2a727 · outbound

This paper cites SIAM Journal on Numerical Analysis 53(1), 82–104 (2015).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's SIAM Journal on Numerical Analysis 53(1), 82–104 (2015)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.924934Z

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Observation 6860d0c9-c73c-4729-a971-7924593ec8d5 · outbound

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Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Unresolved cited work

Reference 7

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Observation 10c9b61f-36fe-48da-baa9-f2b2a62c4af2 · outbound

This paper cites an unresolved cited work.

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Unresolved cited work

Reference 8

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This paper cites an unresolved cited work.

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Unresolved cited work

Reference 9

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Observation 4b1029dc-4e8f-4d79-aa27-a83c7340801e · outbound

This paper cites R esearch in the Mathematical Sciences 7(3), 20 (2020).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's R esearch in the Mathematical Sciences 7(3), 20 (2020)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.891859Z

Source-reported events for the cited work

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Observation 8b1e8c04-08e8-4944-857f-0c23409462da · outbound

This paper cites Journal of Computational Physics 425, 109907 (2021).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Journal of Computational Physics 425, 109907 (2021)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.875747Z

Source-reported events for the cited work

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Observation f0ff0b5e-4ade-45ee-8373-89f1853d6fd1 · outbound

This paper cites Communications in Numerical Methods in Engineering 10(3), 195–201 (1994).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Communications in Numerical Methods in Engineering 10(3), 195–201 (1994)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.859368Z

Source-reported events for the cited work

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Observation bd84daa0-2430-4de2-8841-c6fcd7fe0feb · outbound

This paper cites Measurement science and technology 35(7), 075303 (2024).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Measurement science and technology 35(7), 075303 (2024)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.841670Z

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Observation bda16250-2777-4111-89c4-aaf931e5cd1d · outbound

This paper cites arXiv preprint arXiv:1808.0954 0 (2018).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's arXiv preprint arXiv:1808.0954 0 (2018)

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-11T12:07:19.464622Z

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Observation 4c217dc0-f518-4756-81ab-a1ed440046d5 · outbound

This paper cites Courier Dover Publications (2008).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Courier Dover Publications (2008)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.824812Z

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Observation 1f4985f6-e1c2-47b9-89d4-379fcfbe5c56 · outbound

This paper cites Springer (2015).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Springer (2015)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.807854Z

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Observation 7f737b5f-fae4-4d24-b753-03e4b6a1e2c1 · outbound

This paper cites SIAM (2008).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's SIAM (2008)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.789545Z

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Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Unresolved cited work

Reference 18

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Observation 09656843-6903-42e4-8534-5eeaba1a4ff3 · outbound

This paper cites Proceedings of the National Academy of Sciences 115(34), 8505–8510 (2018).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Proceedings of the National Academy of Sciences 115(34), 8505–8510 (2018)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.752315Z

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Observation c85687b4-14ea-411e-bafb-a43c8f7a2e04 · outbound

This paper cites Mathematical programming 173(1-2), 221– 249 (2019).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Mathematical programming 173(1-2), 221– 249 (2019)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.732576Z

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Observation eaf9890f-977d-4df8-a189-b50a2183cfd9 · outbound

This paper cites IEEE transactions on Neural Networks 9(5), 987–1000 (1998) Convergence of Physics-informed Neural Networks for Fully Nonlinear PDE’s 15.

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's IEEE transactions on Neural Networks 9(5), 987–1000 (1998) Convergence of Physics-informed Neural Networks for Fully Nonlinear PDE’s 15

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.712538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b85bebcf-d07a-49f1-84df-d9ce38228341 · outbound

This paper cites IEEE Transactions on Neural Network s 11(5), 1041–1049 (2000).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's IEEE Transactions on Neural Network s 11(5), 1041–1049 (2000)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.694680Z

Source-reported events for the cited work

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Observation 00af98a8-3d14-4e8c-b638-d7662402933e · outbound

This paper cites Nature 521(7553), 436–444 (2015).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Nature 521(7553), 436–444 (2015)

Reference 23

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Source-reported events for the cited work

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Observation 2c482d4f-ae67-4760-8b10-72f26c8c91b3 · outbound

This paper cites DeepXDE: A deep learning library for solving differential equations.

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's DeepXDE: A deep learning library for solving differential equations

Reference 24

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Source-reported events for the cited work

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Observation 497392a2-4076-42e6-8707-0b88fd92291c · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 360, 112789 (2020).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Computer Methods in Applied Mechanics and Engineering 360, 112789 (2020)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.664230Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0112cf5f-a946-4da4-b45a-e245e1475eb1 · outbound

This paper cites SIAM Journal on Scientiﬁc Computing 41(4), A2603–A2626 (2019).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's SIAM Journal on Scientiﬁc Computing 41(4), A2603–A2626 (2019)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.646350Z

Source-reported events for the cited work

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Observation f5d2923c-dd59-49a3-8135-852d6b65beaf · outbound

This paper cites Journal of Com- putational Physics 378, 686–707 (2019).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Journal of Com- putational Physics 378, 686–707 (2019)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.626599Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b935aecf-2257-4158-b3c5-e48f42c2715e · outbound

This paper cites Science 367(6481), 1026–1030 (2020).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Science 367(6481), 1026–1030 (2020)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.608673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ecd5f18c-2663-4a4a-a432-b58cd444a620 · outbound

This paper cites New York 27, 14 (1993).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's New York 27, 14 (1993)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.589414Z

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Observation 34f17cba-dcd3-41d6-b8f3-80a5e1fef679 · outbound

This paper cites Neurocomputing 562, 126890 (2023).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Neurocomputing 562, 126890 (2023)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.572573Z

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Observation d5cc76d1-0de9-4944-aee1-5ab1dec3b326 · outbound

This paper cites Communicat ions in Computational Physics 28(5), 2042–2074 (2020).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Communicat ions in Computational Physics 28(5), 2042–2074 (2020)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.555211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 158f2e34-3df1-4399-baa4-90736e339f9c · outbound

This paper cites Journal of Computational Physics 375, 1339–1364 (2018).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Journal of Computational Physics 375, 1339–1364 (2018)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.536477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 109097e4-769e-4ac9-86cc-436004cf6821 · outbound

This paper cites Bulletin of the American Physical Socie ty (2019).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's Bulletin of the American Physical Socie ty (2019)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.519303Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6b5c18e1-5bbd-411a-aa21-16949999cf08 · outbound

This paper cites SIAM (2008).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's SIAM (2008)

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.500894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f0132e12-8b04-4db7-8bd1-9f4098362303 · outbound

This paper cites SIAM Journal on Sc ientiﬁc Computing 42(2), A639–A665 (2020).

Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's SIAM Journal on Sc ientiﬁc Computing 42(2), A639–A665 (2020)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:07:19.483051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.