Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T22:07:41.010858Z
Paper Citation Record · LEDGER
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations
As of 11 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2508.07546.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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
Reference resolution
39 of 39 outbound references displayed
- verified exact0
- verified fuzzy24
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 377c2e08-1ec3-4ebd-b735-621cad19361e · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.566587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f4e8c844-d37f-455f-8f18-c6142fa8f1d6 · outbound
This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.552601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3a44a808-5f9b-4851-85d8-afe257791c11 · outbound
This paper cites Physics-informedneuralnetwork:Adeeplearningframeworkforsolvingforwardandinverse problems involving nonlinear partial differential equations.J.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Physics-informedneuralnetwork:Adeeplearningframeworkforsolvingforwardandinverse problems involving nonlinear partial differential equations.J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.538978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4195e8ca-1a2c-44a5-89e2-995a0d97868a · outbound
This paper cites Hiddenfluidmechanics:Learningvelocityandpressurefieldsfromflowvisualizations.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Hiddenfluidmechanics:Learningvelocityandpressurefieldsfromflowvisualizations
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.525564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e74bd2db-aebf-4af0-bb57-2d5e27822710 · outbound
This paper cites Jagtap, Ehsan.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Jagtap, Ehsan
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.511626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 40022720-a616-48ff-8c09-2c0e8afa192b · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.497713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 430146aa-cab4-4e92-9c70-6020b76a42cf · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.483884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8e0aa3a7-870f-4362-9aad-5c4555fee5b7 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.470007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7afaab02-2917-462f-9e95-a33249f076a8 · outbound
This paper cites Perdikaris.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.456600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e9f8d15a-7551-4fc5-ac95-4faeae71df04 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.443339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8a9cf468-dee3-4d04-b2e5-2a96ffd7603f · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.428578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5257c9de-e642-47f1-9a8f-56976db90779 · outbound
This paper cites Liao and P.
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.414989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4e305f45-f138-49f8-a617-376049adb635 · outbound
This paper cites Varnet:Variationalneuralnetworksforthesolutionofpartialdifferentialequations.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Varnet:Variationalneuralnetworksforthesolutionofpartialdifferentialequations
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.401222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 541760bf-2e98-43ee-8e0d-0ae11ff640f2 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.388612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9f94ea2c-453c-44a4-b2ef-e44bbee2ac65 · outbound
This paper cites Journal of Scientific Computing, 92:100, 09 2022.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Journal of Scientific Computing, 92:100, 09 2022
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.375780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 866cd00d-3876-48ee-bb22-b99cca81b1fb · outbound
This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Variational Physics-Informed Neural Networks For Solving Partial Differential Equations
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T22:07:40.923622Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 542e5d41-430f-46fa-bddc-e5b244897d08 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.362446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 959e65b9-571e-4605-86ee-da51bb058fac · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.349191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7402d9f3-6db7-4056-9db1-4390fb22d97e · outbound
This paper cites Waveletsbasedphysicsinformedneuralnetworkstosolvenon-lineardifferential equations.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Waveletsbasedphysicsinformedneuralnetworkstosolvenon-lineardifferential equations
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.335456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 93948b3e-33c4-463c-88b5-1d27b5276b5c · outbound
This paper cites Dwnn: Deep wavelet neural network for solving partial differential equations.Mathematics, 10(12):1976, 2022.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Dwnn: Deep wavelet neural network for solving partial differential equations.Mathematics, 10(12):1976, 2022
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.321268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0ecbd528-727c-4e11-bac8-115ca539a52f · outbound
This paper cites Randomizedneuralnetworkwithpetrov–galerkinmethodsforsolvinglinearandnonlinearpartialdifferential equations.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Randomizedneuralnetworkwithpetrov–galerkinmethodsforsolvinglinearandnonlinearpartialdifferential equations
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.307629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation be79bcad-bdc4-4014-a9c5-1cd359db3299 · outbound
This paper cites Shang and F.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Shang and F
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.292450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f81023a4-1bcb-4765-a90e-9685348b9316 · outbound
This paper cites Local randomized neural networks with discontinuous galerkin methods for diffusive-viscous wave equation.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Local randomized neural networks with discontinuous galerkin methods for diffusive-viscous wave equation
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.279981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 62e1ad38-9a9a-4149-acb3-61da7d0605ff · outbound
This paper cites Local randomized neural networks with discontinuous galerkin methods for partial differential equations.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Local randomized neural networks with discontinuous galerkin methods for partial differential equations
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.266588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8ee26413-8335-48ae-b014-a8a46162f215 · outbound
This paper cites Local randomized neural networks with hybridized discontinuous petrov–galerkin methods for stokes–darcy flows.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Local randomized neural networks with hybridized discontinuous petrov–galerkin methods for stokes–darcy flows
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.252696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f93ec250-e7f9-478b-b082-8eb1c728cf82 · outbound
This paper cites Localrandomizedneuralnetworkswithfinitedifferencemethodsforinterfaceproblems.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Localrandomizedneuralnetworkswithfinitedifferencemethodsforinterfaceproblems
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.239108Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 454522b1-9f67-41c1-8454-3a9a393d055d · outbound
This paper cites Physics informed extreme learning machine (pielm) - a rapid method for the numerical solution of partial differential equations.Neurocomputing, 391:96 – 118, 2020.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Physics informed extreme learning machine (pielm) - a rapid method for the numerical solution of partial differential equations.Neurocomputing, 391:96 – 118, 2020
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.225202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 612f18c2-562c-4583-b420-2eb472d3b8c1 · outbound
This paper cites Wavelet networks.IEEE transactions on neural networks, 36:889–898, 1992.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Wavelet networks.IEEE transactions on neural networks, 36:889–898, 1992
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.211343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 83531695-a4df-4b8d-ab42-265d423dab33 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.198336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fba126d0-47e9-4a0c-88cf-24f66d8e4cd5 · outbound
This paper cites Modifiedwaveletneuralnetworkinfunctionapproximationanditsapplicationinpredictionoftime-series pollution data.Appl.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Modifiedwaveletneuralnetworkinfunctionapproximationanditsapplicationinpredictionoftime-series pollution data.Appl
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.184022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1a169f1b-2855-478c-b73c-50602ff6f527 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.170784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ce0de27a-987d-4a8d-bd8e-6ed26f3cd81a · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.157673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1a141cc2-bb95-4707-9073-ecd3d83df866 · outbound
This paper cites Daubechies.
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.142356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b4e02570-672b-41bc-9376-f87b8640933c · outbound
This paper cites Solving nonlinear ode and pde problems.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Solving nonlinear ode and pde problems
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.128148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f4969df-231b-4857-bae5-9cc92378602b · outbound
This paper cites A unified deep artificial neural network approach to partial differential equations in complex geometries.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations A unified deep artificial neural network approach to partial differential equations in complex geometries
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.114682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 660b4de6-ddaf-40f8-81ca-d074cf478893 · outbound
This paper cites an unresolved cited work.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T22:07:41.100646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5e799054-f1c9-4756-86ee-09473e9d080b · outbound
This paper cites On the spectral bias of neural networks.Proceedings of the 36th International Conference on Machine Learning, 97:5301–5310, 2019.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations On the spectral bias of neural networks.Proceedings of the 36th International Conference on Machine Learning, 97:5301–5310, 2019
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.086649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e06d6b43-dbbe-491a-a929-41a5946dc126 · outbound
This paper cites Deepxde: A deep learning library for solving differential equations.SIAM Review, 63(1):208–228, 2021.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Deepxde: A deep learning library for solving differential equations.SIAM Review, 63(1):208–228, 2021
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T22:07:41.007003Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd92d9e3-f804-41f3-993c-520c379f8715 · outbound
This paper cites Sparse-regularizedhigh-frequencyenhancedneuralnetwork for solving high-frequency problems.Journal of Computational Physics, 523:113676, 2025.
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations Sparse-regularizedhigh-frequencyenhancedneuralnetwork for solving high-frequency problems.Journal of Computational Physics, 523:113676, 2025
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T22:07:41.062016Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.