Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:02:45.519867Z
Paper Citation Record · LEDGER
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition
As of 17 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2507.08861.
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 2026-08-16T06:30:59.297886+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
47 of 47 outbound references displayed
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- verified fuzzy38
- unresolved8
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 20208dd6-45a2-47cf-ba64-9ebe7e1d0d40 · outbound
This paper cites Machine learning in computer aided engineering.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Machine learning in computer aided engineering
Reference 1
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09531721-3318-4be1-9c49-da5b85f3e88c · outbound
This paper cites Learning mesh-based simulation with graph networks.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Learning mesh-based simulation with graph networks
Reference 2
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cea1ca58-21a8-481b-9a93-61a288bac3ed · outbound
This paper cites Physics-based machine learning for computational fracture mechanics.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Physics-based machine learning for computational fracture mechanics
Reference 3
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4209e14a-03e5-4f53-acf0-5318873fa08a · outbound
This paper cites Flowgnn: A dataflow architecture for real-time workload-agnostic graph neural network inference.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Flowgnn: A dataflow architecture for real-time workload-agnostic graph neural network inference
Reference 4
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82fee802-7195-469a-88ba-d89307558f52 · outbound
This paper cites Zahr, and Jian-Xun Wang.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Zahr, and Jian-Xun Wang
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 2026-08-16T06:30:59.297886+00:00.
Observation 78eb4bde-8176-4355-9e7b-a27eeaab317f · outbound
This paper cites GraphCast: Learning skillful medium-range global weather forecasting.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition GraphCast: Learning skillful medium-range global weather forecasting
Reference 6
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e726e8ed-0c8f-4ec5-b420-3d741bddd07a · outbound
This paper cites Calculus of Finite Differences, volume 33.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Calculus of Finite Differences, volume 33
Reference 7
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eec50e71-c327-40ea-9539-3b4bf919ac29 · outbound
This paper cites Finite element method.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Finite element method
Reference 8
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a2faa05f-ccbf-461c-a419-ec4bbaf6ee63 · outbound
This paper cites Finite volume methods.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Finite volume methods
Reference 9
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2cfd0ad0-34ef-4b0b-9ae4-507bf721403c · outbound
This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang
Reference 10
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fd194a66-41f4-494d-96ce-fa9208d39c09 · outbound
This paper cites A review of graph neural network applications in mechanics-related domains.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition A review of graph neural network applications in mechanics-related domains
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 2026-08-16T06:30:59.297886+00:00.
Observation 438e78ce-1a59-47a3-a4bc-48e48e3aca61 · outbound
This paper cites Allen, Tatiana Lopez-Guevara, Kimberly Stachenfeld, Alvaro Sanchez-Gonzalez, Peter Battaglia, Jessica Hamrick, and Tobias Pfaff.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Allen, Tatiana Lopez-Guevara, Kimberly Stachenfeld, Alvaro Sanchez-Gonzalez, Peter Battaglia, Jessica Hamrick, and Tobias Pfaff
Reference 12
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6946a08-3847-429b-8b21-0c4a29e80a11 · outbound
This paper cites Allen, Yulia Rubanova, Tatiana Lopez-Guevara, William Whitney, Alvaro Sanchez-Gonzalez, Peter Battaglia, and Tobias Pfaff.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Allen, Yulia Rubanova, Tatiana Lopez-Guevara, William Whitney, Alvaro Sanchez-Gonzalez, Peter Battaglia, and Tobias Pfaff
Reference 13
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 29546bad-320e-4cf0-9e99-1bdc6cb54cdb · outbound
This paper cites Iparraguirre, Icíar Alfaro, David González, Francisco Chinesta, and Elías Cueto.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Iparraguirre, Icíar Alfaro, David González, Francisco Chinesta, and Elías Cueto
Reference 14
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f8a83c25-97de-45d8-af11-909f9b1a75cc · outbound
This paper cites Scientific machine learning through physics–informed neural networks: Where we are and what’s next.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Scientific machine learning through physics–informed neural networks: Where we are and what’s next
Reference 15
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd55ba2f-2098-4f32-8474-08f4c32d44a9 · outbound
This paper cites Physics-informed neural networks (pinns) for fluid mechanics: a review.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Physics-informed neural networks (pinns) for fluid mechanics: a review
Reference 16
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 362ad761-7d8d-43cd-993e-5d9cc3c9f863 · outbound
This paper cites Dpm: A novel training method for physics-informed neural networks in extrapolation.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Dpm: A novel training method for physics-informed neural networks in extrapolation
Reference 17
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 766a591b-7142-4150-9bcf-6b6e036e3941 · outbound
This paper cites Understanding and mitigating extrapolation failures in physics-informed neural networks, 2023.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Understanding and mitigating extrapolation failures in physics-informed neural networks, 2023
Reference 18
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4bc08346-2e85-48bd-8b8e-c5eb4d8595ac · outbound
This paper cites A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized pdes.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized pdes
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 2026-08-16T06:30:59.297886+00:00.
Observation 2eef5cef-1f45-4837-865c-fa7c1f05c86a · outbound
This paper cites Pod-dl-rom: Enhancing deep learning-based reduced order models for nonlinear parametrized pdes by proper orthogonal decomposition.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Pod-dl-rom: Enhancing deep learning-based reduced order models for nonlinear parametrized pdes by proper orthogonal decomposition
Reference 20
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2ee6f687-46e8-43c2-a55e-5f1a13a5d589 · outbound
This paper cites Handling geometrical variability in nonlinear reduced order modeling through continuous geometry-aware dl-roms.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Handling geometrical variability in nonlinear reduced order modeling through continuous geometry-aware dl-roms
Reference 21
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b22619b9-24f5-4a75-ad1f-e74a2e1ce9a1 · outbound
This paper cites Gradient-based learning applied to document recognition.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Gradient-based learning applied to document recognition
Reference 22
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6007297-3aca-4261-b717-87ba58292134 · outbound
This paper cites Bronstein, Joan Bruna, Taco Cohen, and Petar Veliˇckovi´c.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Bronstein, Joan Bruna, Taco Cohen, and Petar Veliˇckovi´c
Reference 23
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 94a20a15-b33e-47f8-a5bd-d8711e989d03 · outbound
This paper cites Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, and Pierre Vandergheynst.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, and Pierre Vandergheynst
Reference 24
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d28f5714-a2da-492c-a1a3-1e6a2e168e8f · outbound
This paper cites an unresolved cited work.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Unresolved cited work
Reference 25
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bdcc85a6-9934-4396-a75d-74ad1defbca9 · outbound
This paper cites Unravelling the performance of physics-informed graph neural networks for dynamical systems.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Unravelling the performance of physics-informed graph neural networks for dynamical systems
Reference 26
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 468510cf-402d-4f40-ae0c-2c1e156be3f2 · outbound
This paper cites an unresolved cited work.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Unresolved cited work
Reference 27
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6169c587-2e0f-4915-83ac-418df90084d4 · outbound
This paper cites Thermodynamics-informed graph neural networks.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Thermodynamics-informed graph neural networks
Reference 28
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9aa964c2-cfc1-42f1-b2d6-a69055ea1e09 · outbound
This paper cites Structure-preserving neural networks.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Structure-preserving neural networks
Reference 29
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 02a2d742-641d-4593-9c7e-99d9627edf44 · outbound
This paper cites Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems
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 2026-08-16T06:30:59.297886+00:00.
Observation 77907e2d-1c98-4dbb-a2b8-5428c13f5a0c · outbound
This paper cites Thermodynamics-informed neural networks for physically realistic mixed reality.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Thermodynamics-informed neural networks for physically realistic mixed reality
Reference 31
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 89085e35-6b5c-4e5c-ac50-e61792d768bd · outbound
This paper cites Graph neural networks informed locally by thermodynamics.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Graph neural networks informed locally by thermodynamics
Reference 32
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ab1103c6-1f0f-4abc-a3ba-f25a5d4e20b2 · outbound
This paper cites Reversible and irreversible bracket-based dynamics for deep graph neural networks.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Reversible and irreversible bracket-based dynamics for deep graph neural networks
Reference 33
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 60331e5e-9431-482d-8a2d-a4faebf6a956 · outbound
This paper cites A thermodynamics-informed active learning approach to perception and reasoning about fluids.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition A thermodynamics-informed active learning approach to perception and reasoning about fluids
Reference 34
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 38dcdffc-989a-4187-99d0-e478e65f1dce · outbound
This paper cites Thermodynamics- informed super-resolution of scarce temporal dynamics data.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Thermodynamics- informed super-resolution of scarce temporal dynamics data
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.825616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 43bc686c-f200-4855-b40d-4cd1310470c3 · outbound
This paper cites Hyperparameter Optimization, pages 3–33.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Hyperparameter Optimization, pages 3–33
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.805792Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 75e609a2-b110-4067-9219-2542a2afd49f · outbound
This paper cites Breaking the limits of message passing graph neural networks.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Breaking the limits of message passing graph neural networks
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.784393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5dcc2ac0-0f8d-4598-980b-5f3c1799bb73 · outbound
This paper cites an unresolved cited work.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:02:45.768136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bd6e5055-1b9f-4ec6-b8e7-f4f6bb722eba · outbound
This paper cites The paradox of fourier heat equation: A theoretical refutation.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition The paradox of fourier heat equation: A theoretical refutation
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.750491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e22712ef-7e75-4a1e-b843-26b6d1a25275 · outbound
This paper cites Schoenholz, Patrick F.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Schoenholz, Patrick F
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.733500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 70c7f087-08cc-4732-b08d-4045854b39ca · outbound
This paper cites Nodemixup: Tackling under-reaching for graph neural networks.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Nodemixup: Tackling under-reaching for graph neural networks
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.716233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ff3291ff-16c9-421c-b270-f45e6b84b5a2 · outbound
This paper cites Message Passing Neural PDE Solvers.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Message Passing Neural PDE Solvers
Reference 42
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0869365-2251-444b-bf07-cdd802ac1589 · outbound
This paper cites The Courant–Friedrichs–Lewy (CFL) condition.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition The Courant–Friedrichs–Lewy (CFL) condition
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.699967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f87a8c6-347a-46b0-ad3f-f8fdb4243126 · outbound
This paper cites On the speed of heat.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition On the speed of heat
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.683590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09cff1e6-5f34-48c8-aeee-201788131bbb · outbound
This paper cites Understanding over-squashing and bottlenecks on graphs via curvature.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Understanding over-squashing and bottlenecks on graphs via curvature
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.665785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 389c18af-1fc2-4ce1-bdd1-106369218f55 · outbound
This paper cites Limits of depth: Over-smoothing and over-squashing in gnns.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Limits of depth: Over-smoothing and over-squashing in gnns
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:02:45.649005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ff59d60e-7f09-4e13-a05b-76dc4856114f · outbound
This paper cites Limiting Over-Smoothing and Over-Squashing of Graph Message Passing by Deep Scattering Transforms.
On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Limiting Over-Smoothing and Over-Squashing of Graph Message Passing by Deep Scattering Transforms
Reference 47
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:02:45.588244Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.