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Paper Citation Record · LEDGER

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs

As of 10 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2506.05918.

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

pith.paper-citation-record.v1
2506.05918 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

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measured 0 of 1 external citation measurements

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Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation b7241f5d-95f1-4322-be01-8c74119b037a · outbound

This paper cites Brunton and J.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Brunton and J

Reference 1

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Observation ecbc515f-c0db-4f82-8c96-42120b0d65c8 · outbound

This paper cites an unresolved cited work.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Unresolved cited work

Reference 2

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Observation 97e64e60-6e2f-44e3-9765-c5aa28f60d0a · outbound

This paper cites Envisioning better benchmarks for machine learning pde solvers.Nature Machine Intelligence, 7(1):2–3, jan 2025.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Envisioning better benchmarks for machine learning pde solvers.Nature Machine Intelligence, 7(1):2–3, jan 2025

Reference 3

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Observation ef21f2a1-ae2c-474d-bd21-3060c87b8a11 · outbound

This paper cites Leveque.Numerical Methods for Conservation Laws.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Leveque.Numerical Methods for Conservation Laws

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 42a6e847-0ea4-4113-b4bd-fb5b49c26de4 · outbound

This paper cites Comparative performance analysis of numerical discretization methods for electro- chemical model of lithium-ion batteries.Journal of Power Sources, 650:237365, 09 2025.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Comparative performance analysis of numerical discretization methods for electro- chemical model of lithium-ion batteries.Journal of Power Sources, 650:237365, 09 2025

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 431a9786-218e-4c17-a25b-8ecd4c0d46ea · outbound

This paper cites Meerschaert and Charles Tadjeran.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Meerschaert and Charles Tadjeran

Reference 6

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 95b98b8f-b537-4bfe-b1e1-f691dce6a542 · outbound

This paper cites Alikhanov.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Alikhanov

Reference 7

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 22c9b9c8-80c6-44c1-ad52-eadf9a151b73 · outbound

This paper cites an unresolved cited work.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Unresolved cited work

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation bd800e82-f46f-402a-9d55-e85c2d24aa45 · outbound

This paper cites Moghaddam and J.A.T.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Moghaddam and J.A.T

Reference 9

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Observation 34c9275f-60e3-4b1d-abd1-1dd789377b9e · outbound

This paper cites Vadivel, Nallappan Gunasekaran, Haitao Zhu, Jinde Cao, and Xiaodi Li.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Vadivel, Nallappan Gunasekaran, Haitao Zhu, Jinde Cao, and Xiaodi Li

Reference 10

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation f315c101-39d8-4f7b-a21f-9709ee390b52 · outbound

This paper cites Godunov and I.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Godunov and I

Reference 11

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Observation 6c78e375-d01f-4bff-933d-a0f5b79adf3d · outbound

This paper cites Mfem: A modular finite element methods library.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Mfem: A modular finite element methods library

Reference 12

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Source-reported events for the cited work

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Observation 50fc44ad-1222-4e29-813f-adbe19375eed · outbound

This paper cites High-order finite element methods for time-fractional partial differential equations.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs High-order finite element methods for time-fractional partial differential equations

Reference 13

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e34ccfaf-faee-4d6d-8a4b-8d6aeb2bcb0b · outbound

This paper cites Gunzburger, Clayton G.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Gunzburger, Clayton G

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 1e0e5f67-3757-4b91-a3c6-f05c4adba41a · outbound

This paper cites The local discontinuous galerkin finite element methods for caputo-type partial differential equations: Mathematical analysis.Applied Numerical Mathematics, 150:587–606, 2020.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs The local discontinuous galerkin finite element methods for caputo-type partial differential equations: Mathematical analysis.Applied Numerical Mathematics, 150:587–606, 2020

Reference 15

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 2269faa4-1af5-4caf-ab0a-91b20b64a54f · outbound

This paper cites an unresolved cited work.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Unresolved cited work

Reference 16

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Observation c126c118-fa29-4c31-b366-73c0c9a73ffc · outbound

This paper cites Finite volume methods.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Finite volume methods

Reference 17

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 25054e08-35df-49f6-985e-131eeb46aab0 · outbound

This paper cites Spectral solutions for the time-fractional heat differential equation through a novel unified sequence of chebyshev polynomials.AIMS MATHEMATICS, 9(1):2137–2166, 2024.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Spectral solutions for the time-fractional heat differential equation through a novel unified sequence of chebyshev polynomials.AIMS MATHEMATICS, 9(1):2137–2166, 2024

Reference 18

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d2d859ec-9083-4ed8-ac63-482e2a0c0dee · outbound

This paper cites an unresolved cited work.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Unresolved cited work

Reference 19

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation fb678659-9930-4bd7-8b79-8ea532e3509f · outbound

This paper cites Spectral methods in fluid dynamics (c.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Spectral methods in fluid dynamics (c

Reference 20

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 469e2b9b-d6e2-4968-bb04-d65a2b957a08 · outbound

This paper cites Hauck, and Stanley Osher.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Hauck, and Stanley Osher

Reference 21

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation a8c2379c-c944-40ae-8806-e43da1f7987c · outbound

This paper cites Highly accurate protein structure prediction with alphafold.Nature, pages 1–11, 2021.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Highly accurate protein structure prediction with alphafold.Nature, pages 1–11, 2021

Reference 22

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Observation 26f05e48-e213-4257-89a9-9e1cba6c47da · outbound

This paper cites Deep learning for reduced order modelling and efficient temporal evolution of fluid simulations.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Deep learning for reduced order modelling and efficient temporal evolution of fluid simulations

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 99ce7b4d-b21f-4235-978a-09d00c5ebf8a · outbound

This paper cites Read, Jacob A.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Read, Jacob A

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation d380f391-075f-4010-87be-23f916ec4494 · outbound

This paper cites Integrating scientific knowledge with machine learning for engineering and environmental systems.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Integrating scientific knowledge with machine learning for engineering and environmental systems

Reference 25

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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 2026-08-09T06:31:02.800959+00:00.

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Observation c3bc29c0-5223-4b26-969a-ed0aead4fe3d · outbound

This paper cites Meaningless comparisons lead to false optimism in medical machine learning.Plos One, 12(9), 2017.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Meaningless comparisons lead to false optimism in medical machine learning.Plos One, 12(9), 2017

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 227592f7-ff5c-4750-97fc-2d0d479e4ed1 · outbound

This paper cites Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation ba11344e-4c21-47de-838d-697c91e2a647 · outbound

This paper cites Wujek and Patrick Hall.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Wujek and Patrick Hall

Reference 28

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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 2026-08-09T06:31:02.800959+00:00.

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Observation 9d8fb599-7be1-4679-9d96-5abb0df62caa · outbound

This paper cites Raissi, P.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Raissi, P

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:20:48.303628Z digest=sha256:68a80404edbbaf835e79f73218d7da0c978257c985fcda367c2b5229c12a7cb6

Observation 2c681537-843e-4c7b-9ab7-3949af8dd426 · outbound

This paper cites Encoding physics to learn reaction–diffusion processes.Nature Machine Intelligence, 5(7):765–779, jul 2023.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Encoding physics to learn reaction–diffusion processes.Nature Machine Intelligence, 5(7):765–779, jul 2023

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 78243319-b2c8-44d4-92b0-e62a24ad38a8 · outbound

This paper cites Karniadakis.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Karniadakis

Reference 31

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no resolver link, observed 2026-08-07T10:20:48.309640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:20:48.309640Z digest=sha256:57a364bbb8c1ba9db87a8e1dc0cd1aee4ff16aea0f8186ca257e9933280a72cf

Observation 93c608fc-83f4-4926-a5f9-026f71ba8ee9 · outbound

This paper cites Enhancing convergence speed with feature enforcing physics-informed neural networks using boundary conditions as prior knowledge.Scientific Reports, 14(1):23836, oct 11 2024.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Enhancing convergence speed with feature enforcing physics-informed neural networks using boundary conditions as prior knowledge.Scientific Reports, 14(1):23836, oct 11 2024

Reference 32

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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 2026-08-09T06:31:02.800959+00:00.

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Observation 5ce3de4e-95a1-4af6-a66d-76525edb85f9 · outbound

This paper cites McClenny and Ulisses M.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs McClenny and Ulisses M

Reference 33

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no resolver link, observed 2026-08-07T10:20:48.316388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:20:48.316388Z digest=sha256:f7efdd3e50aefb03698fa14483b321419f543187d73d4fbd1d27a9eeec119cc7

Observation 36de2dfd-2585-4fed-9619-75f374ec919f · outbound

This paper cites and Jia Zhao.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs and Jia Zhao

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.499848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.319499Z digest=sha256:2a7ccd6011907c34a2117427da887f7c066f075a0a28a190dae62ff0ee391f7e

Observation b563cda9-6066-4f03-9a38-20f0411f69ec · outbound

This paper cites E-pinn: A fast physics-informed neural network based on explicit time-domain method for dynamic response prediction of nonlinear structures.Engineering Structures, 321:118900, 2024.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs E-pinn: A fast physics-informed neural network based on explicit time-domain method for dynamic response prediction of nonlinear structures.Engineering Structures, 321:118900, 2024

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.490570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.323260Z digest=sha256:7d8a7ebd33e483b84053c97129144bd8a0070a4d17dc21ab29463cdde9c7aed2

Observation 66616c8b-7df0-4246-a729-cb9b89988c58 · outbound

This paper cites Pi-lstm: Physics-informed long short-term memory network for structural response modeling.Engineering Structures, 292:116500, 2023.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Pi-lstm: Physics-informed long short-term memory network for structural response modeling.Engineering Structures, 292:116500, 2023

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.478676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.326992Z digest=sha256:dc814404a8726a29d29d7adc1e8c1580dd34758928a392a738aca836b08f30c8

Observation 13795155-362d-4ab2-9216-097cc3c3db96 · outbound

This paper cites Physics-informed multi-lstm networks for metamodeling of nonlinear structures.Computer Methods in Applied Mechanics and Engineering, 369:113226, 2020.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Physics-informed multi-lstm networks for metamodeling of nonlinear structures.Computer Methods in Applied Mechanics and Engineering, 369:113226, 2020

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.468784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.331249Z digest=sha256:4d50e2525b850b9cd3d5e24c30e2a3f5be6f05598ad6a7823c8a8191f53d1103

Observation 10fbd5d4-4b5c-4251-9c15-dd58bf69ad16 · outbound

This paper cites Ppinn: Parareal physics-informed neural network for time-dependent pdes.Computer Methods in Applied Mechanics and Engineering, 370:113250, 2020.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Ppinn: Parareal physics-informed neural network for time-dependent pdes.Computer Methods in Applied Mechanics and Engineering, 370:113250, 2020

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T10:20:48.334253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:20:48.334253Z digest=sha256:d19961bae911bf8a818a7c43b7d623ad63008cd7e8080f2c74f6d5feae829f1b

Observation c92d90b8-1d7e-4af8-8885-915d9b1ae489 · outbound

This paper cites and Em Karniadakis, George.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs and Em Karniadakis, George

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.453223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.337792Z digest=sha256:5625d1ff4a7d5963ab4b7f1a35486106c5a4e9e38ca353f04b6694ef25d0694e

Observation dcce97a0-acec-4035-b8c5-acb71f6de279 · outbound

This paper cites Jagtap, Kenji Kawaguchi, and George Em Karniadakis.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Jagtap, Kenji Kawaguchi, and George Em Karniadakis

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.442947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.340893Z digest=sha256:7acccb331e662df76de8f9be85f27e02f3388c850d36fa53ebd03f61c3c7598b

Observation 0503b4d5-812c-4646-b686-ac31f7956e74 · outbound

This paper cites Deep learning method based on physics informed neural network with resnet block for solving fluid flow problems.Water, (4), 2021.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Deep learning method based on physics informed neural network with resnet block for solving fluid flow problems.Water, (4), 2021

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.433555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.343997Z digest=sha256:8aa89698905eced57c5c17a5b30a264e055e4ad18127775391539c67b71ec97b

Observation 4270b525-3a80-48b4-b084-2e11e9377bf9 · outbound

This paper cites Understanding and mitigating gradient pathologies in physics-informed neural networks.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Understanding and mitigating gradient pathologies in physics-informed neural networks

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T10:20:48.347061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:20:48.347061Z digest=sha256:3b63fbb8435dcff21231d89f69e8483f5f4935eceee9c640208ded178585e45f

Observation 09c51b06-5b95-46b5-899a-05e71034516a · outbound

This paper cites Multi-scale deep neural network (mscalednn) for solving poisson- boltzmann equation in complex domains.Communications in Computational Physics, 28(5):1970–2001, 2020.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Multi-scale deep neural network (mscalednn) for solving poisson- boltzmann equation in complex domains.Communications in Computational Physics, 28(5):1970–2001, 2020

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.423750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.350678Z digest=sha256:a87c69daa04abb16eca12b4035b7acf121613e2437d4861618b7776ec164cc3f

Observation 6b752166-0781-4672-bedc-d108c529cf50 · outbound

This paper cites Automatic differentiation in machine learning: A survey.Journal of Machine Learning Research, 18:1–43, 04 2018.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Automatic differentiation in machine learning: A survey.Journal of Machine Learning Research, 18:1–43, 04 2018

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.414318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.353571Z digest=sha256:a43d92ac2761a3241d825ee934b5086707cf69f607e657f796ec181db4fb99c8

Observation 1af2b854-cdd4-4775-8022-c5c6e81c7f0e · outbound

This paper cites Deepxde: A deep learning library for solving differential equations.SIAM Review, 63(1):208–228, 2021.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Deepxde: A deep learning library for solving differential equations.SIAM Review, 63(1):208–228, 2021

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T10:20:48.357058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:20:48.357058Z digest=sha256:582853ba60b58f3e9d146bcc1d9904892179f95b407ffc2ef444d1554c8a519e

Observation de466887-82d5-4bdb-a58b-a83fdca6129d · outbound

This paper cites Compatibility conditions for systems of iterative functional equations with non-trivial contact sets.Results in Mathematics, 76(2):68, mar 17 2021.

Over-PINNs: Enhancing Physics-Informed Neural Networks via Higher-Order Partial Derivative Overdetermination of PDEs Compatibility conditions for systems of iterative functional equations with non-trivial contact sets.Results in Mathematics, 76(2):68, mar 17 2021

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:20:48.399221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T10:20:48.360086Z digest=sha256:4e0ee3cdfe11dd32603018dfb15d8993e669b427001965987e31595eef415794

Pith citing papers

No inbound Pith citation observations are available.