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Paper Citation Record · LEDGER

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations

As of 20 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2501.16370.

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

pith.paper-citation-record.v1
2501.16370 v3

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:27:18.587917Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

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

60 of 60 outbound references displayed

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  • verified fuzzy41
  • unresolved12
  • parse uncertain0
  • malformed identifier2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 715cc7e5-b39f-47bc-9d35-16574e9aed19 · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 27674f5e-6872-41a1-8bab-db88fe76057f · outbound

This paper cites Springer (1989).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer (1989)

Reference 2

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7f493de5-ad7e-41b7-bbb2-0353c8758b76 · outbound

This paper cites SIAM review39(3), 484–493 (1997).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM review39(3), 484–493 (1997)

Reference 3

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verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d9f1ce49-9c77-475d-b395-a5211ccb5157 · outbound

This paper cites Proceedings of the royal society of london.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Proceedings of the royal society of london

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a27e34ce-475c-4758-b07f-1c575ea6be43 · outbound

This paper cites Springer, ??? (2012).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2012)

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a361495a-40f5-4d06-9b08-be17d99f7aa1 · outbound

This paper cites Theoretical population biology 2(1), 1–23 (1971).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Theoretical population biology 2(1), 1–23 (1971)

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0379a826-5daf-488a-9cbc-9cfab9a6c087 · outbound

This paper cites Thermochimica Acta660, 82–93 (2018) 24.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Thermochimica Acta660, 82–93 (2018) 24

Reference 7

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verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f17dcd4b-8612-4d55-8bf3-77a0e48b643e · outbound

This paper cites International journal of computer mathematics61(1-2), 103–110 (1996).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations International journal of computer mathematics61(1-2), 103–110 (1996)

Reference 8

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a50e6827-2ad7-42ed-ad14-056439e30e35 · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 9

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7caf4df2-b349-4e11-b10c-9dbf62d226d6 · outbound

This paper cites Mathematics and Computers in Simulation71(1), 16–30 (2006).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematics and Computers in Simulation71(1), 16–30 (2006)

Reference 10

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 68d7abe9-04d9-4371-be5a-811e63b0c8fa · outbound

This paper cites Elsevier, ??? (2005).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Elsevier, ??? (2005)

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 935fff68-faa7-45e4-b320-122a76dea295 · outbound

This paper cites Polymers 12(4), 818 (2020).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Polymers 12(4), 818 (2020)

Reference 12

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9d0d0b01-4138-4581-915a-ce4a2549d8fb · outbound

This paper cites Courier Corporation, ??? (2001).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Courier Corporation, ??? (2001)

Reference 13

Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a2e5514a-a546-413a-a5b0-e5954f7d96ba · outbound

This paper cites Engineering with Computers38(3), 1977–1984 (2022).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Engineering with Computers38(3), 1977–1984 (2022)

Reference 14

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.235648Z digest=sha256:f9c23899ced6650382be3c625fb680d2b9d25d648e9ace7eeb00f3fa2205785c

Observation 446777fe-4cf5-469b-813c-0ee5aef93f09 · outbound

This paper cites The European Physical Journal Plus135, 1–19 (2020).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations The European Physical Journal Plus135, 1–19 (2020)

Reference 15

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.239673Z digest=sha256:cb6890a1922a3b6a3b91532a3e5dec0fe92e9e561d858540bf139286bd93c831

Observation 1057e948-3880-4bc4-9787-f9a33200ae74 · outbound

This paper cites Journal of Complexity26(5), 455–489 (2010).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Complexity26(5), 455–489 (2010)

Reference 16

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verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6d0f0b1b-d20c-48bf-be75-0ded285bf4d5 · outbound

This paper cites part ii: implementation and tests in dune.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations part ii: implementation and tests in dune

Reference 17

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation dcdc5e9e-a8d7-421e-a07a-8fabdc20e41f · outbound

This paper cites SIAM, ??? (2002).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM, ??? (2002)

Reference 18

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 73ad7ed5-1775-401e-a3bc-d53cf26b9599 · outbound

This paper cites In: SC’12: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, pp.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations In: SC’12: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, pp

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7aed7a1a-ba40-4ae6-a103-8d2f558fbab7 · outbound

This paper cites Springer, ??? (2011).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2011)

Reference 20

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verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 576b7779-7552-4b74-84b5-2cec638ae357 · outbound

This paper cites John wiley & sons, ??? (1991).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations John wiley & sons, ??? (1991)

Reference 21

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4cca623d-5abd-4a4f-ab62-c48b671342d2 · outbound

This paper cites Journal of Vibration and Control17(13), 2050– 2058 (2011).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Vibration and Control17(13), 2050– 2058 (2011)

Reference 22

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verified fuzzy
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9f7e6aec-eb80-4ac2-8ddc-1844df81174b · outbound

This paper cites MIT press (2016).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations MIT press (2016)

Reference 23

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e9468f9c-8c29-49ef-87fc-117a7bc4b2d4 · outbound

This paper cites nature521(7553), 436–444 (2015).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations nature521(7553), 436–444 (2015)

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation cebc5f92-2a7e-4c42-92a7-da8a1bfa561e · outbound

This paper cites Journal of Computational physics378, 686–707 (2019).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational physics378, 686–707 (2019)

Reference 25

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no resolver link, observed 2026-08-10T16:27:18.421215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.421215Z digest=sha256:5f3010a19c2381fa2dcb2d3f7c4489865508b1997896a4ae3e8838dfa5df3a12

Observation 5b928bb6-9e22-45f5-ad72-8e3aee7adca3 · outbound

This paper cites Nature Reviews Physics3(6), 422–440 (2021).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Nature Reviews Physics3(6), 422–440 (2021)

Reference 26

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unresolved
no resolver link, observed 2026-08-10T16:27:18.426182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.426182Z digest=sha256:5ebd95934fc6322af6ae2cd8fa539b6a1635793f417eb910ceeabe301ca5c063

Observation 1aa93286-b4e5-45c9-b5dd-68fdcc31174b · outbound

This paper cites SIAM review63(1), 208–228 (2021).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM review63(1), 208–228 (2021)

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.195969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 43380d76-fbfe-4737-803c-c04bd87378f4 · outbound

This paper cites Journal of Computational Physics357, 125–141 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics357, 125–141 (2018)

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.179311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d2c915a7-7697-43bc-8d5e-2985c2fe094f · outbound

This paper cites University of Notre Dame, ??? (2019).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations University of Notre Dame, ??? (2019)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.163245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.440067Z digest=sha256:ffc562a1947eb054d7582589fbb0fa3788f2fecf9b7dacc7f8b98f283af28d2d

Observation 42e89642-a779-453b-9fef-c0097a78d421 · outbound

This paper cites Neurocomputing317, 28–41 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neurocomputing317, 28–41 (2018)

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.146918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 506c9dba-a930-4bee-a74d-c3c087fe86c3 · outbound

This paper cites Journal of computational physics375, 1339–1364 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of computational physics375, 1339–1364 (2018)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.131583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 14f39d75-293b-45c8-9063-2bc300ae3c7c · outbound

This paper cites Proceedings of the National Academy of Sciences115(34), 8505–8510 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Proceedings of the National Academy of Sciences115(34), 8505–8510 (2018)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.115688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8f45ea4c-ea00-4626-80f8-a335aa089465 · outbound

This paper cites In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.100057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.459235Z digest=sha256:98269d53c1f78fe837e3175cadde0300d0883dda013a53f22452f3cae2f764ee

Observation bf2f98ed-fb40-447e-a0f1-4fd03e55c984 · outbound

This paper cites IEEE transactions on neural networks5(2), 157–166 (1994).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE transactions on neural networks5(2), 157–166 (1994)

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.085068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.463782Z digest=sha256:90eb35b6c8e3d18300cd02665099a27a16e8cc4e226dd7967abe18b87460c824

Observation 4a035ec2-1dea-461e-82f1-b39b2bc90f83 · outbound

This paper cites International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems6(02), 107–116 (1998).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems6(02), 107–116 (1998)

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.068764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.468289Z digest=sha256:4c0a95ff3a0097346343a462e6bfd578809b399595569dc2a0787f2bd0dea737

Observation f102451b-6150-467c-aad3-88ae51750e63 · outbound

This paper cites On the Stability and Convergence of Physics Informed Neural Networks.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations On the Stability and Convergence of Physics Informed Neural Networks

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.473230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.473230Z digest=sha256:42268336dd74403ee3079a411566026e4197db5097aed07d126dc02d8f3fb2a0

Observation 6344ff61-3267-40d9-a82a-51950d4ba270 · outbound

This paper cites Journal of Computational Physics462, 111260 (2022).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics462, 111260 (2022)

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.053435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.478340Z digest=sha256:297cc0b1bd010e947bd7f80471db38850180ce27cf7401fb06393bce6a7e104f

Observation f234257b-8ab3-4a5f-9fe7-90a940bb07d4 · outbound

This paper cites Journal of Computational Physics474, 111722 (2023).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics474, 111722 (2023)

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.036912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.483163Z digest=sha256:d15164cd4a4986fe4ff97803d2b3e8ac16921c1c98dc7612fe7892c84ddfcba1

Observation 53fbf1a1-9073-4ebf-9a54-145ed3c7ab03 · outbound

This paper cites PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems

Reference 39

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T16:27:18.755163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.487852Z digest=sha256:52b275ebcaaa739da8d3aaf27d1344fc59900456f11339a8c51e025376bc8532

Observation 55a18df4-812a-4f21-8b9d-dfe49efe5409 · outbound

This paper cites IEEE Transactions on Antennas and Propagation56(8), 2442–2452 (2008).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE Transactions on Antennas and Propagation56(8), 2442–2452 (2008)

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.019823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.493024Z digest=sha256:0e977598fe0d855a573b7c7f8b781a8b93d72c99e8557c5d84b644f9db2970c3

Observation e1b29fb6-c5fb-46ba-99f0-4db28b82ec4a · outbound

This paper cites Superconductor Science and Technology21(10), 105008 (2008).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Superconductor Science and Technology21(10), 105008 (2008)

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.002893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.497710Z digest=sha256:467da11da4e8309b9acf4c395c96db69c41328ae4534a694c622510e0bfec727

Observation 009f8805-5309-4644-a792-bf1529662beb · outbound

This paper cites Springer, ??? (2024).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2024)

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.986328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.502312Z digest=sha256:37458efc95cc9b89a2ae7574e2293f0200efcc0107140299d087f0ee7a84b8e0

Observation a16ad28c-1202-4f3d-9aad-3dee05c9e790 · outbound

This paper cites Journal of Scientific Computing 90(1), 35 (2021) https://doi.org/10.1007/s10915-021-01714-6.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Scientific Computing 90(1), 35 (2021) https://doi.org/10.1007/s10915-021-01714-6

Reference 43

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.699138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.506889Z digest=sha256:09b95c16960064d8ed242ac3a577b8b14a9d7265d65a46ed61fe31c7caeb36d6

Observation 8a0044aa-3741-411e-a9fb-2095a5b3c461 · outbound

This paper cites Earth, Planets and Space70(1), 103 (2018) https://doi.org/10.1186/ s40623-018-0876-7.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Earth, Planets and Space70(1), 103 (2018) https://doi.org/10.1186/ s40623-018-0876-7

Reference 44

Resolution
malformed identifier
raw_fallback, observed 2026-08-10T16:27:18.970236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.511830Z digest=sha256:2d734a5be0f507f5af576e3a72c759db2853c5de7d23a16ed3f94b953f5cebca

Observation f0808dee-8efc-4ca0-8c5c-52520c3d5775 · outbound

This paper cites Archives of Computational Methods in Engineering29(6), 4431–4453 (2022) https://doi.org/10.1007/s11831-022-09740-9 27.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Archives of Computational Methods in Engineering29(6), 4431–4453 (2022) https://doi.org/10.1007/s11831-022-09740-9 27

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.516520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.516520Z digest=sha256:3d375883318a37d67bd201833544b67a4bf2ba6a1703477010cb21a55290b26e

Observation f1001282-e875-451f-85c8-3a6def1612a0 · outbound

This paper cites Archives of Computational Methods in Engineering31(5), 2945–2984 (2024) https://doi.org/ 10.1007/s11831-024-10063-0.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Archives of Computational Methods in Engineering31(5), 2945–2984 (2024) https://doi.org/ 10.1007/s11831-024-10063-0

Reference 46

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.667350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.521127Z digest=sha256:b816537a2f09348ac5fc5a2fedd1000d2dd7a8191cf2ca9ca0d9cda1cf440fd9

Observation fbe9ae58-89e1-4763-956d-aed498b92e66 · outbound

This paper cites Mathematics 11(21) (2023) https://doi.org/10.3390/math11214418.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematics 11(21) (2023) https://doi.org/10.3390/math11214418

Reference 47

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.649470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.525548Z digest=sha256:d486a353532dd6ceb709e14833a239f7fd54bbd64ea1531a78db460ba09cd398

Observation dfa7b235-ae37-4c3b-8bd0-0b789e262808 · outbound

This paper cites Neural Computing and Applications21, 843–852 (2012).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural Computing and Applications21, 843–852 (2012)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.953886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.530089Z digest=sha256:12ffa6e81171d090d11c5fadcc7b077fbb30c67a2f90d3d0c8d5d12e7a3e358c

Observation 5db7cbc4-6cb3-4b19-b67e-499954ab2708 · outbound

This paper cites Iranian journal of fuzzy systems11(1), 91–112 (2014).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Iranian journal of fuzzy systems11(1), 91–112 (2014)

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.936172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.534394Z digest=sha256:8253c16877407e047e9f52f0ea27bb8235479ba185cfbc484508b32d2f3479f1

Observation 6565940c-ddf5-4e71-80ba-37eab5d26702 · outbound

This paper cites Applied Soft Computing 27, 391–398 (2015).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Applied Soft Computing 27, 391–398 (2015)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.918890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.538614Z digest=sha256:7ebf73a42e7b0eac9e4005901c1826a433d616eea7cab4650a0dd2a8f9a5ce91

Observation 4ed757ee-97d9-4006-bd6a-70e2336d8e5b · outbound

This paper cites Mathematical Sciences 8, 1–9 (2014).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematical Sciences 8, 1–9 (2014)

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.902537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.543020Z digest=sha256:d75faa8befb86273581bb05a34fca7c47000e7e4ca654488d2dae84481935fcb

Observation ea224ee1-1def-4cef-9a9c-a8a3dadb4392 · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:18.884917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.547421Z digest=sha256:7f85aada9dfcd4f2ec47bcd7927269821dd7729abe0aaaf4afcacd1538b2180b

Observation 0b3e1842-5dd8-4cfd-b422-6339a7026268 · outbound

This paper cites IEEE Transactions on Antennas and Propagation70(8), 6135–6147 (2021).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE Transactions on Antennas and Propagation70(8), 6135–6147 (2021)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.868337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.552644Z digest=sha256:b6bc645474e050804401abc0b272e2a8119c828041816236bca5b0c2f8162b4e

Observation f007a086-1ca5-42a6-b05a-f3b04e5a156a · outbound

This paper cites Nature Machine Intelligence3(3), 218–229 (2021) https://doi.org/10.1038/ s42256-021-00302-5.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Nature Machine Intelligence3(3), 218–229 (2021) https://doi.org/10.1038/ s42256-021-00302-5

Reference 54

Resolution
malformed identifier
no resolver link, observed 2026-08-10T16:27:18.557116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.557116Z digest=sha256:422cdf0b7c0504aaae3224aef8e119798050c6f5ea78f0000b6fb78b3a08c818

Observation 18e80ed6-bbcf-4089-b11e-be3c7ffd52f1 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.561473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.561473Z digest=sha256:b55c18cab5c9f3b4bc996fcec2e74e4edf56113c408ae15704b71c2735311eec

Observation e4e6c466-64c3-4665-9417-d9194ca9acce · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:18.839128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.566960Z digest=sha256:829eafbb0f758fb94a8d013d47bcad57761a9cb46e4e4db040dc973133900376

Observation 092ce49f-f735-44a5-a91a-25631f32c3fe · outbound

This paper cites Information Sciences612, 887–897 (2022) https: //doi.org/10.1016/j.ins.2022.09.017.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Information Sciences612, 887–897 (2022) https: //doi.org/10.1016/j.ins.2022.09.017

Reference 57

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.630022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.572101Z digest=sha256:bfbb75d7b5caa6539e245d8313bf1bbf668269fa4c3e6fced646ef2f625e4bc1

Observation 2c15d01d-49bf-4837-9598-bbb963c57373 · outbound

This paper cites Neural networks3(5), 551–560 (1990).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural networks3(5), 551–560 (1990)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.821844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.577283Z digest=sha256:525b80523decf092a451b517fd5866b4b9c4e584d121991a9cfdd2815681ff3c

Observation 890a8002-5fe1-4198-89ba-739419d70601 · outbound

This paper cites Acta numerica8, 143–195 (1999).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Acta numerica8, 143–195 (1999)

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.582356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.582356Z digest=sha256:63fe361e77f76fe37fe29c4df56cb77a4517ff2f0c2aaead5e2d2dde22b232cd

Observation ae94c63e-45d7-4e74-9bff-43508d16fe0c · outbound

This paper cites Neural computation8(1), 164–177 (1996) 29.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural computation8(1), 164–177 (1996) 29

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.794296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T16:27:18.587917Z digest=sha256:79cbd86054184a9ac82ea5d1f47f60fe74060753cc4d25c2299d45c991bdb05c

Pith citing papers

No inbound Pith citation observations are available.