Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T03:09:22.055541Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2507.21437.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T03:09:22.055541Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e6d75b3e-c5ea-4176-a8ff-ce16e0705094 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 1
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Observation 468a8f1d-eea0-4974-ac77-4f96a2754f49 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 2
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PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Schoppa, F
Reference 3
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PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 4
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PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Anderson, Fundamentals of Aerodynamics, McGraw Hill
Reference 5
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PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 6
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PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Chien, Large deflection of a circular clamped plate under uniform pressure, Chinese Journal of Physics 7 (2) (1947) 102–113
Reference 7
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PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 8
Source-reported events for the cited work
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Observation b594c52c-0d1e-4f4e-b15e-2300d90455cc · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Arzani, A
Reference 9
Source-reported events for the cited work
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Observation 30d91516-61f0-4425-9898-d2876646e5d0 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 10
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Observation 16269735-0c25-48ba-83bf-3cc9edf5e3b8 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Prandtl, On fluid motions with very small friction, Verhldg 3 (1904) 484–491
Reference 11
Source-reported events for the cited work
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Observation 9e0e63c4-338f-4128-8466-dd52ad21f4af · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Von K´ arm´ an, Uber laminare und turbulente reibung, Z
Reference 12
Source-reported events for the cited work
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Observation c3733f01-5e75-40f8-b152-27fd9d477691 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Van Dyke, Higher approximations in boundary-layer theory part 1
Reference 13
Source-reported events for the cited work
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Observation 49227ef0-af7b-47a4-a772-068a12521d0e · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Van Dyke, Higher approximations in boundary-layer theory part 2
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 21b73580-c882-481f-9812-9f24f2e57fe1 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Van Dyke, Higher approximations in boundary-layer theory part 3
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9dfd20b9-446f-4411-b7d0-f59e2e0efa47 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 16
Source-reported events for the cited work
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Observation 2b5b0387-bc47-403d-85d7-b7080127f8ab · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 17
Source-reported events for the cited work
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Observation fa374998-4f10-4d5c-a698-da4fe359f953 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 18
Source-reported events for the cited work
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Observation 82df668e-1bbd-442f-8c16-2c309313ceae · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 28896d31-e767-4539-9a17-3a091289bb2e · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 20
Source-reported events for the cited work
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Observation c5606871-f95c-47aa-818d-444137a257dc · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 21
Source-reported events for the cited work
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Observation afde7214-7eea-495e-b039-c196948f2d18 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 22
Source-reported events for the cited work
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Observation a8eabe40-ca22-446a-848f-7925f3e9054f · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 23
Source-reported events for the cited work
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Observation 011d910b-381f-457d-b222-f464382571cd · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Eymard, T
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f71be010-8976-4a16-ac90-f8b9d33ccd75 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9ea65b2e-5c78-45da-86ca-92f4fe186d62 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems John L Lumley
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8cb38453-fb1f-4ca8-a708-9baf07906a77 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Predictions of turbulent shear flows using deep neural networks
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5dbc79b5-5d48-4029-bd83-a036f73a7dd2 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Jiang, R
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1996591b-3786-4972-9364-cb2a395951f2 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Machine Learning for Fluid Mechanics
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c1da6222-492e-4ae5-a4d1-b2f02ebd22b2 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Raissi, P
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ca428204-cd3b-45ef-b87b-2661294322db · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Lu , author X
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7053a6c4-c339-48fe-a0ec-43b0eae187a8 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Arzani, J.-X
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f5f06d3f-2669-4b0a-a1dc-822a7a56a490 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Stiff-PINN: Physics-Informed Neural Network for Stiff Chemical Kinetics
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6069aa49-8464-4802-8cd2-7983a49ef7a2 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1ab96b93-d2a0-4f15-b3bc-3f44c26155d7 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Computer Methods in Applied Mechanics and Engineering 360, 112789 (2020) https://doi.org/10.1016/j.cma.2019.112789
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cfbffbaf-f246-4f4d-85e6-cba53b66fb58 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c20e6b1a-c711-45d9-8de5-32c6e39dd355 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Shukla, A
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4a42ec53-6706-406a-ae0c-4df3b14c0b09 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 38
Source-reported events for the cited work
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Observation 0fdd69b9-51d6-4a42-9d1e-4b04222c64df · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Raissi, P
Reference 39
Source-reported events for the cited work
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Observation 6cd4739f-6db8-4f80-928f-ad4ea40a8a2e · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Extended Ph ysics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations
Reference 40
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Observation eb1e43b9-04f1-4b31-b87a-b3569a68c404 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Efficienttrainingofphysics-informedneuralnetworksviaimportancesampling
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation af0d5f0b-93ef-4664-b67f-a557a28c5398 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems On the Eigenvector Bias of Fourier Feature Networks: From Regression to Solving Multi-Scale PDEs with Physics-Informed Neural Networks
Reference 42
Source-reported events for the cited work
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Observation 9fde0362-4982-425d-bfbf-6cca55d921ac · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Kaplun, P
Reference 43
Source-reported events for the cited work
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Observation 9f4b8b08-ab88-438f-b757-66c0cd445426 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Zhang, G
Reference 44
Source-reported events for the cited work
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Observation cdc8d406-6228-47f5-add6-5dc8de60594f · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 45
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Observation f8b9589f-8f05-474f-ae92-9ce487f9b514 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Huang, R
Reference 46
Source-reported events for the cited work
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Observation 2ac9c83a-d839-44cc-8815-380b92e8ea0a · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Neural Operator: Graph Kernel Network for Partial Differential Equations
Reference 47
Source-reported events for the cited work
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Observation 43dfa698-12b2-4d20-a7ad-8d3b27042dc9 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 48
Source-reported events for the cited work
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Observation 22e4b103-4cee-43db-9567-09f7eeef2394 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Fourier Neural Operator for Parametric Partial Differential Equations
Reference 49
Source-reported events for the cited work
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Observation d10ec6d5-5afd-47ce-84d5-3d8aab551066 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Kovachki, Z
Reference 50
Source-reported events for the cited work
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Observation 211427b4-f269-4926-82eb-b62755b457f7 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Approximation and Generalization of DeepONets for Learning Operators Arising from a Class of Singularly Perturbed Problems
Reference 51
Source-reported events for the cited work
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Observation d511a04c-1a50-44f8-80c0-e68e4790c13a · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Learning the solution operator of parametric partial differential equations with physics-informed DeepONets
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aaa718b0-8c69-4b00-a390-2cdb05421da1 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Erd´ elyi, An expansion procedure for singular perturbations, Atti Accad
Reference 53
Source-reported events for the cited work
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Observation 80cdf19a-e98e-461d-a525-68769d0bf66e · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 54
Source-reported events for the cited work
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Observation 1087b967-44d5-4604-9431-f6b6d4527275 · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Adam: A Method for Stochastic Optimization
Reference 55
Source-reported events for the cited work
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Observation c5a422f9-d836-4736-aa6e-38e92386b85d · outbound
PVD-ONet: A Multi-scale Neural Operator Method for Singularly Perturbed Boundary Layer Problems Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
No inbound Pith citation observations are available.