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Paper Citation Record · LEDGER

Automated discovery of finite volume schemes using Graph Neural Networks

As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2508.19052.

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

pith.paper-citation-record.v1
2508.19052 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation e40d69e6-66a4-4088-ba10-c56498beac8a · outbound

This paper cites an unresolved cited work.

Automated discovery of finite volume schemes using Graph Neural Networks Unresolved cited work

Reference 1

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Observation 720bd914-b415-48c7-8086-3dc783ee8324 · outbound

This paper cites Relational inductive biases, deep learning, and graph networks.

Automated discovery of finite volume schemes using Graph Neural Networks Relational inductive biases, deep learning, and graph networks

Reference 2

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Observation 7ff2eb22-9d86-4287-808f-31194eaaf5de · outbound

This paper cites Battaglia, Razvan Pascanu, Matthew Lai, David Rezende, and Koray Kavukcuoglu.

Automated discovery of finite volume schemes using Graph Neural Networks Battaglia, Razvan Pascanu, Matthew Lai, David Rezende, and Koray Kavukcuoglu

Reference 3

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Observation 37cd42a9-93d0-4565-93e1-b0a83ca96de1 · outbound

This paper cites Accurate medium-range global weather forecasting with 3d neural networks.

Automated discovery of finite volume schemes using Graph Neural Networks Accurate medium-range global weather forecasting with 3d neural networks

Reference 4

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Observation 2ecaf00a-1399-4d7c-882b-c74cb03b208a · outbound

This paper cites Chang, Tomer D.

Automated discovery of finite volume schemes using Graph Neural Networks Chang, Tomer D

Reference 5

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Observation 0e617003-f0d0-4609-8c6f-6e986c85072f · outbound

This paper cites Interpretable machine learning for science with pysr and symbolicregression.jl, 2023.

Automated discovery of finite volume schemes using Graph Neural Networks Interpretable machine learning for science with pysr and symbolicregression.jl, 2023

Reference 6

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This paper cites Discovering symbolic models from deep learning with inductive biases.

Automated discovery of finite volume schemes using Graph Neural Networks Discovering symbolic models from deep learning with inductive biases

Reference 7

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Observation 151a216e-0748-41b4-946c-a4cf6787d0d7 · outbound

This paper cites Dauphin, Angela Fan, Michael Auli, and David Grangier.

Automated discovery of finite volume schemes using Graph Neural Networks Dauphin, Angela Fan, Michael Auli, and David Grangier

Reference 8

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cccb9700-92bf-47f9-8082-f2b86d0175ab · outbound

This paper cites Smith, Kelsey R.

Automated discovery of finite volume schemes using Graph Neural Networks Smith, Kelsey R

Reference 9

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Source-reported events for the cited work

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Observation f061c3e3-2bec-4111-a175-6c7bd80e915f · outbound

This paper cites Finite volume informed graph neural network for myocardial perfusion simulation.

Automated discovery of finite volume schemes using Graph Neural Networks Finite volume informed graph neural network for myocardial perfusion simulation

Reference 10

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9442d7e9-fd82-4e12-ac76-8fc4b18f0a36 · outbound

This paper cites Graph neural networks are dynamic programmers.

Automated discovery of finite volume schemes using Graph Neural Networks Graph neural networks are dynamic programmers

Reference 11

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Observation a9280e9b-d151-4fbf-9f4e-4b3bde7c7040 · outbound

This paper cites Deep fdm: Enhanced finite difference methods by deep learning.

Automated discovery of finite volume schemes using Graph Neural Networks Deep fdm: Enhanced finite difference methods by deep learning

Reference 12

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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.

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Observation 6d41df88-417a-42fe-864a-def394aaf1e9 · outbound

This paper cites How powerful are k-hop message passing graph neural networks, 2023.

Automated discovery of finite volume schemes using Graph Neural Networks How powerful are k-hop message passing graph neural networks, 2023

Reference 13

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Observation 4a2155db-ab4b-413f-81c2-64371b0cef04 · outbound

This paper cites Meshmask: Physics-based simulations with masked graph neural networks.

Automated discovery of finite volume schemes using Graph Neural Networks Meshmask: Physics-based simulations with masked graph neural networks

Reference 14

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Source-reported events for the cited work

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Observation 88358106-9faa-48c3-81cd-322a95f3a1d6 · outbound

This paper cites Multi-Grid Graph Neural Networks with Self-Attention for Computational Mechanics.

Automated discovery of finite volume schemes using Graph Neural Networks Multi-Grid Graph Neural Networks with Self-Attention for Computational Mechanics

Reference 15

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Observation 093d1196-9ce6-4a83-b4c8-e231b929a945 · outbound

This paper cites Gmsh: A 3-d finite element mesh generator with built-in pre- and post-processing facilities.

Automated discovery of finite volume schemes using Graph Neural Networks Gmsh: A 3-d finite element mesh generator with built-in pre- and post-processing facilities

Reference 16

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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.

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Observation 1f32deb5-a932-4fa7-9f0f-5ad59dcad61c · outbound

This paper cites Hachem, B.

Automated discovery of finite volume schemes using Graph Neural Networks Hachem, B

Reference 17

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Observation 196d12f2-2228-4b41-bb23-832c9863baf5 · outbound

This paper cites Gaussian error linear units (gelus), 2023.

Automated discovery of finite volume schemes using Graph Neural Networks Gaussian error linear units (gelus), 2023

Reference 18

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Observation 4d245e6e-7821-49d2-990d-1e288418dadc · outbound

This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.

Automated discovery of finite volume schemes using Graph Neural Networks Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang

Reference 19

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Observation a8ba3c58-e0c2-4556-ab54-13c1b72d84d3 · outbound

This paper cites Kingma and Jimmy Ba.

Automated discovery of finite volume schemes using Graph Neural Networks Kingma and Jimmy Ba

Reference 20

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Observation 2b944162-6908-447c-b81e-452d6b07bcea · outbound

This paper cites Neural relational inference for interacting systems.

Automated discovery of finite volume schemes using Graph Neural Networks Neural relational inference for interacting systems

Reference 21

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Observation 54ccc7af-2716-4772-a13e-65cf88f79b5c · outbound

This paper cites Stuart, and Anima Anandkumar.

Automated discovery of finite volume schemes using Graph Neural Networks Stuart, and Anima Anandkumar

Reference 22

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Observation edb19641-7d4a-413d-9211-c7a4d7b2b23d · outbound

This paper cites Investigating the ability of pinns to solve burgers’ pde near finite-time blowup, 2024.

Automated discovery of finite volume schemes using Graph Neural Networks Investigating the ability of pinns to solve burgers’ pde near finite-time blowup, 2024

Reference 23

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Observation 0a1dd8f5-c49d-44f0-a07e-f725ed7f10ae · outbound

This paper cites Graphcast: Learning skillful medium-range global weather forecasting.

Automated discovery of finite volume schemes using Graph Neural Networks Graphcast: Learning skillful medium-range global weather forecasting

Reference 24

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Observation c040507a-1eb8-4b5b-97b7-67255041b759 · outbound

This paper cites Physics- informed machine learning for enhanced 4D flow.

Automated discovery of finite volume schemes using Graph Neural Networks Physics- informed machine learning for enhanced 4D flow

Reference 25

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5e00bde3-3f57-48dd-a2c2-abe3d2fa714a · outbound

This paper cites Rediscovering orbital mechanics with machine learning.Monthly Notices of the Royal Astronomical Society, 514(3):3965–3977, 2022.

Automated discovery of finite volume schemes using Graph Neural Networks Rediscovering orbital mechanics with machine learning.Monthly Notices of the Royal Astronomical Society, 514(3):3965–3977, 2022

Reference 26

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2ef7281a-95d6-4769-adbe-a5ac247c4deb · outbound

This paper cites Finite volume graph network (fvgn): Predicting unsteady incompressible fluid dynamics with finite volume informed neural network.

Automated discovery of finite volume schemes using Graph Neural Networks Finite volume graph network (fvgn): Predicting unsteady incompressible fluid dynamics with finite volume informed neural network

Reference 27

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bb24acf8-1b9d-454e-b278-af644c908cc0 · outbound

This paper cites Learning to solve pdes with finite volume-informed neural networks in a data-free approach.

Automated discovery of finite volume schemes using Graph Neural Networks Learning to solve pdes with finite volume-informed neural networks in a data-free approach

Reference 28

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6dbaa18c-cdfe-4079-b9a3-e08ddd98e845 · outbound

This paper cites Fourier neural operator for parametric partial differential equations.

Automated discovery of finite volume schemes using Graph Neural Networks Fourier neural operator for parametric partial differential equations

Reference 29

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 880dd86f-705f-4ba1-adf1-1a2a48e6e8d6 · outbound

This paper cites Multipole graph neural operator for parametric partial differential equations.

Automated discovery of finite volume schemes using Graph Neural Networks Multipole graph neural operator for parametric partial differential equations

Reference 30

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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.

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Observation 0c4528d8-6f99-45b4-8d8f-f245b7c25021 · outbound

This paper cites Deeponet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Automated discovery of finite volume schemes using Graph Neural Networks Deeponet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 31

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 94528f64-1edf-42e7-bb7c-0003ee4cbbb1 · outbound

This paper cites Tenenbaum, and Daniel L.

Automated discovery of finite volume schemes using Graph Neural Networks Tenenbaum, and Daniel L

Reference 32

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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.

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Observation 76c7804b-ca17-4165-8c37-31ff0e85277c · outbound

This paper cites Graph neural networks extrapolate out-of-distribution for shortest paths.

Automated discovery of finite volume schemes using Graph Neural Networks Graph neural networks extrapolate out-of-distribution for shortest paths

Reference 33

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Source-reported events for the cited work

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Observation 41ddf4b6-91fb-49df-beac-762fe918c3d4 · outbound

This paper cites Fourcastnet: A global data-driven high-resolution weather model using adaptive fourier neural operators.

Automated discovery of finite volume schemes using Graph Neural Networks Fourcastnet: A global data-driven high-resolution weather model using adaptive fourier neural operators

Reference 34

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verified fuzzy
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 64564796-6c4b-4e8d-8764-a857f722b4e6 · outbound

This paper cites Learning mesh-based simulation with graph networks.

Automated discovery of finite volume schemes using Graph Neural Networks Learning mesh-based simulation with graph networks

Reference 35

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raw_fallback, observed 2026-08-05T16:06:44.293950Z

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.

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Observation b8cce18a-dbd9-42b2-b096-70561847d83b · outbound

This paper cites Karniadakis.

Automated discovery of finite volume schemes using Graph Neural Networks Karniadakis

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.279737Z

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.

source=pdf_text observed=2026-08-05T16:06:43.909891Z digest=sha256:c047cb0fb3608de99a06c9b2262b58bf49fa15afcaf0e250144406afd505bcdb

Observation 55512e81-a81c-498a-b886-a5d87c5a4118 · outbound

This paper cites Learning to simulate complex physics with graph networks.

Automated discovery of finite volume schemes using Graph Neural Networks Learning to simulate complex physics with graph networks

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.265511Z

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.

source=pdf_text observed=2026-08-05T16:06:43.914219Z digest=sha256:8e70a706e7a94006bf244bf4d9aafa5e79cb2680953ea3828b148883f8469366

Observation cb6379b3-e251-45f1-bc70-a9468acd72bc · outbound

This paper cites Graph networks as learnable physics engines for inference and control.

Automated discovery of finite volume schemes using Graph Neural Networks Graph networks as learnable physics engines for inference and control

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-05T16:06:43.918459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:06:43.918459Z digest=sha256:7498aec7419b93f3e34fd5987c1f536c3536a029431a085e9960616601183b97

Observation 31923e6e-2d60-4f4f-8d6f-e424a1817f6f · outbound

This paper cites Distilling free-form natural laws from experimental data.

Automated discovery of finite volume schemes using Graph Neural Networks Distilling free-form natural laws from experimental data

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-05T16:06:43.922863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:06:43.922863Z digest=sha256:ad80b2acd3f2156941d2f15fe1e13bd6f45ba189a2eb350ade7f29be5ab6c4f8

Observation b86478dd-b9d0-448c-bfff-a4805895116e · outbound

This paper cites Ai feynman: A physics-inspired method for symbolic regression.

Automated discovery of finite volume schemes using Graph Neural Networks Ai feynman: A physics-inspired method for symbolic regression

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-05T16:06:43.927006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:06:43.927006Z digest=sha256:753fba6726284a7c221be84978e469748408c8115c6aa4ce9d58260bec3ed983

Observation 0a64addd-0102-495a-8f05-a4aa0f28e336 · outbound

This paper cites Chang, Ashesh Rambachan, and Sendhil Mullainathan.

Automated discovery of finite volume schemes using Graph Neural Networks Chang, Ashesh Rambachan, and Sendhil Mullainathan

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.232903Z

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.

source=pdf_text observed=2026-08-05T16:06:43.931186Z digest=sha256:d90cd855738370f9bf7522bc106a1420d217747b4017ea9ce62066fd39b0d0d6

Observation 1daa1980-61e1-4c1c-a63c-df1a0975ad0f · outbound

This paper cites Neural algorithmic reasoning.

Automated discovery of finite volume schemes using Graph Neural Networks Neural algorithmic reasoning

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.218910Z

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.

source=pdf_text observed=2026-08-05T16:06:43.935427Z digest=sha256:cf80188b82b0e878899821538a0df081489c056e23e545d9d2cca542dc9ebbe8

Observation 964e4fc7-13e9-4b5e-a86c-d1ce017c0586 · outbound

This paper cites Neural execution of graph algorithms.

Automated discovery of finite volume schemes using Graph Neural Networks Neural execution of graph algorithms

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.205637Z

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.

source=pdf_text observed=2026-08-05T16:06:43.939605Z digest=sha256:2497e5fc317ab8c31add924db44f8639fd8e02edd05d5c85cdc744a547b0dbe3

Observation 68f68169-7184-4b0d-8e2a-cc64363269b2 · outbound

This paper cites an unresolved cited work.

Automated discovery of finite volume schemes using Graph Neural Networks Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:06:44.191574Z

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.

source=pdf_text observed=2026-08-05T16:06:43.943627Z digest=sha256:86a2df8eae7f54c3b95c54b9bc0752b46c23c5c29c383ee06c939cdeb8aeb575

Observation c11cf5be-a101-4e87-81f3-d524468d7cb6 · outbound

This paper cites Asymptotic self-similar blow-up profile for three-dimensional axisymmetric euler equations using neural networks, 2023.

Automated discovery of finite volume schemes using Graph Neural Networks Asymptotic self-similar blow-up profile for three-dimensional axisymmetric euler equations using neural networks, 2023

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.177838Z

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.

source=pdf_text observed=2026-08-05T16:06:43.948268Z digest=sha256:f297ff470429935460578795b729a02645c21dddef8987a3bb746693d2a3b8b3

Observation 140cec9a-41e2-4fc9-b7ca-b258cd6dfe91 · outbound

This paper cites an unresolved cited work.

Automated discovery of finite volume schemes using Graph Neural Networks Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:06:44.163857Z

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.

source=pdf_text observed=2026-08-05T16:06:43.952840Z digest=sha256:7dccfb716c8efe78eb748dcf65ef40c227a510629821f6d903199456df154fff

Observation 93b4dbcd-b520-4bf1-9125-b007d29a7b0b · outbound

This paper cites an unresolved cited work.

Automated discovery of finite volume schemes using Graph Neural Networks Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:06:44.148505Z

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.

source=pdf_text observed=2026-08-05T16:06:43.957274Z digest=sha256:c6b6dc9ec4f44b2b8c65cb52459bf98ad1701c5ebfc7b34041d9759264d1b64a

Observation 196c5f0d-7a4a-4742-9030-9bf0c427882c · outbound

This paper cites Finally, we use those inequalities to bound the error on a general graph.

Automated discovery of finite volume schemes using Graph Neural Networks Finally, we use those inequalities to bound the error on a general graph

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.132883Z

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.

source=pdf_text observed=2026-08-05T16:06:43.961565Z digest=sha256:114834bbb8192166cb1606061956f6cc14b17e7327816eb86aee92d6067c04da

Observation fe62a2a3-257a-48a6-8575-6f1193b8ff0e · outbound

This paper cites an unresolved cited work.

Automated discovery of finite volume schemes using Graph Neural Networks Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:06:44.118536Z

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.

source=pdf_text observed=2026-08-05T16:06:43.965918Z digest=sha256:3f5d3e6425dd3ae88cafe4064e93d18723ff2814fb94547645b7bcce1a996fb2

Observation d99becac-a64d-460a-855b-393655d2ce5b · outbound

This paper cites This leads to Theorem C.5 where we demonstrate that a small training error requires at least 2mL` 2m` 4 parameters.

Automated discovery of finite volume schemes using Graph Neural Networks This leads to Theorem C.5 where we demonstrate that a small training error requires at least 2mL` 2m` 4 parameters

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.104016Z

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.

source=pdf_text observed=2026-08-05T16:06:43.970251Z digest=sha256:ded8bdd63b29197208e506c6edf0a67f1822d0d152e85727113e9556fde082f2

Observation 3cfa753a-5284-48b1-9cc8-db2ec909e9b4 · outbound

This paper cites C.1 Sparsity consideration Lemma C.1.

Automated discovery of finite volume schemes using Graph Neural Networks C.1 Sparsity consideration Lemma C.1

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.088630Z

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.

source=pdf_text observed=2026-08-05T16:06:43.974561Z digest=sha256:86c26d8d9e24997783e9edc666e10b566b9bfed1f9318e46870006f873366c26

Observation 56a73736-d43e-48dd-9f6c-f53f57e38c90 · outbound

This paper cites W a p “ » ———– 1 0 0.

Automated discovery of finite volume schemes using Graph Neural Networks W a p “ » ———– 1 0 0

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:06:44.073699Z

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.

source=pdf_text observed=2026-08-05T16:06:43.979284Z digest=sha256:6c79e6c4b41147581d1affc0b2bac42869183f9f133371a18f26d5c793f727eb

Pith citing papers

No inbound Pith citation observations are available.