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Paper Citation Record · LEDGER

Generalized Neural Operator for Parametric and Boundary-Value Problems

As of 16 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 0 inbound Pith citation observations for arXiv:2607.21932.

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

pith.paper-citation-record.v1
2607.21932 v1

Coverage vector

measured 79 of 79 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:36:45.707510Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

79 of 79 outbound references displayed

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  • unresolved42
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e184b9a2-00e0-4043-b087-1669d314bd8e · outbound

This paper cites Hyperfno: Improving the generalization behavior of fourier neural operators.

Generalized Neural Operator for Parametric and Boundary-Value Problems Hyperfno: Improving the generalization behavior of fourier neural operators

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ebe594c3-786c-4a22-8543-285634674d57 · outbound

This paper cites Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators.

Generalized Neural Operator for Parametric and Boundary-Value Problems Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators

Reference 2

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Observation d7042dc1-8124-4830-9663-3ef706b4e983 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7d5c313f-29e5-4058-a0ab-1baff5d4db5f · outbound

This paper cites Flow matching meets pdes: A unified framework for physics-constrained generation, 2025.

Generalized Neural Operator for Parametric and Boundary-Value Problems Flow matching meets pdes: A unified framework for physics-constrained generation, 2025

Reference 4

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Observation a6b54e4c-2ea9-4f95-a378-f48bd25fc320 · outbound

This paper cites T., Duvenaud, D., and Jacobsen, J.-H.

Generalized Neural Operator for Parametric and Boundary-Value Problems T., Duvenaud, D., and Jacobsen, J.-H

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0bf967ec-22e8-4a04-9d96-0be3c8d690d0 · outbound

This paper cites Distributionally Robust Optimization and Robust Statistics.

Generalized Neural Operator for Parametric and Boundary-Value Problems Distributionally Robust Optimization and Robust Statistics

Reference 6

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Source-reported events for the cited work

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Observation e0e5abd1-2c6e-4c7d-9fa9-e74b8629a135 · outbound

This paper cites The 'scalar' poincar \'e --steklov operator and the 'vector' one: algebraic structures which underlie their duality.

Generalized Neural Operator for Parametric and Boundary-Value Problems The 'scalar' poincar \'e --steklov operator and the 'vector' one: algebraic structures which underlie their duality

Reference 7

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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 2026-08-15T06:32:42.880941+00:00.

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Observation 7ec05d02-76fa-486d-ade0-378c7b1f1fc9 · outbound

This paper cites L., de Bezenac, E., Serrano, L., Regueiro-Espino, R.

Generalized Neural Operator for Parametric and Boundary-Value Problems L., de Bezenac, E., Serrano, L., Regueiro-Espino, R

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 38e298d6-c13f-4a84-b67e-88c4cd7d18b9 · outbound

This paper cites Message Passing Neural PDE Solvers.

Generalized Neural Operator for Parametric and Boundary-Value Problems Message Passing Neural PDE Solvers

Reference 9

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Source-reported events for the cited work

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Observation bc8f630b-95a6-45e7-b821-75f06381b659 · outbound

This paper cites Omniarch: Building foundation model for scientific computing.

Generalized Neural Operator for Parametric and Boundary-Value Problems Omniarch: Building foundation model for scientific computing

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation dc2d50e0-5599-488f-a3e5-ba5791fe69b7 · outbound

This paper cites Mixture of neural operator experts for learning boundary conditions and model selection.

Generalized Neural Operator for Parametric and Boundary-Value Problems Mixture of neural operator experts for learning boundary conditions and model selection

Reference 11

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Observation f32b3542-ab56-49b9-921c-07090d2bf54f · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Generalized Neural Operator for Parametric and Boundary-Value Problems An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 12

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Observation f8b45fd1-99aa-4ebf-b990-1f698e054355 · outbound

This paper cites Drivaernet++: A large-scale multimodal car dataset with computational fluid dynamics simulations and deep learning benchmarks.

Generalized Neural Operator for Parametric and Boundary-Value Problems Drivaernet++: A large-scale multimodal car dataset with computational fluid dynamics simulations and deep learning benchmarks

Reference 13

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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 2026-08-15T06:32:42.880941+00:00.

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Observation b624ae70-98d6-4e0e-91f2-a4c2bebca301 · outbound

This paper cites Drivaernet: A parametric car dataset for data-driven aerodynamic design and prediction.

Generalized Neural Operator for Parametric and Boundary-Value Problems Drivaernet: A parametric car dataset for data-driven aerodynamic design and prediction

Reference 14

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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 2026-08-15T06:32:42.880941+00:00.

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Observation be1206cc-93d4-4b95-b189-053e66280b77 · outbound

This paper cites L., Yanıkoglu, I., and den Hertog, D.

Generalized Neural Operator for Parametric and Boundary-Value Problems L., Yanıkoglu, I., and den Hertog, D

Reference 15

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ccff3ab1-92fe-4cff-9cdf-445c25816bce · outbound

This paper cites Learning to optimize multigrid PDE solvers.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learning to optimize multigrid PDE solvers

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0ada45f9-bb7d-45c3-a843-3b721f9d736a · outbound

This paper cites DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training.

Generalized Neural Operator for Parametric and Boundary-Value Problems DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Reference 17

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Observation ed4b5f11-a3f9-4bed-b460-a376cf9dca10 · outbound

This paper cites Flow completion network: Inferring the fluid dynamics from incomplete flow information using graph neural networks.

Generalized Neural Operator for Parametric and Boundary-Value Problems Flow completion network: Inferring the fluid dynamics from incomplete flow information using graph neural networks

Reference 18

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Observation 3586e1a7-326a-45b9-9c26-b5189a3535e3 · outbound

This paper cites Poseidon: Efficient foundation models for pdes, 2024.

Generalized Neural Operator for Parametric and Boundary-Value Problems Poseidon: Efficient foundation models for pdes, 2024

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 2026-08-15T06:32:42.880941+00:00.

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Observation 502d5f4d-d212-4ec4-bd64-25a543f57c66 · outbound

This paper cites DiffusionPDE: Generative PDE-Solving Under Partial Observation.

Generalized Neural Operator for Parametric and Boundary-Value Problems DiffusionPDE: Generative PDE-Solving Under Partial Observation

Reference 20

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Unavailable: canonical work link unavailable.

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Observation 5c878889-b645-4a1d-84b5-142730eb2c6b · outbound

This paper cites An airflow velocity field reconstruction method with sparse or incomplete data using physics-informed neural network.

Generalized Neural Operator for Parametric and Boundary-Value Problems An airflow velocity field reconstruction method with sparse or incomplete data using physics-informed neural network

Reference 21

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3396fd8e-fec7-40ad-9a25-3fe10f16703d · outbound

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Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 22

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Observation b1bce52a-ad23-4964-b444-1f14dbfce24f · outbound

This paper cites K., Boudec, L.

Generalized Neural Operator for Parametric and Boundary-Value Problems K., Boudec, L

Reference 23

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0fc0566a-dcd7-42c5-b7c9-16edcc54f920 · outbound

This paper cites GEPS: Boosting Generalization in Parametric PDE Neural Solvers through Adaptive Conditioning.

Generalized Neural Operator for Parametric and Boundary-Value Problems GEPS: Boosting Generalization in Parametric PDE Neural Solvers through Adaptive Conditioning

Reference 24

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Unavailable: canonical work link unavailable.

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Observation 295e5d7e-e7df-4046-9099-96de8d31851f · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

Generalized Neural Operator for Parametric and Boundary-Value Problems Neural operator: Learning maps between function spaces with applications to pdes

Reference 25

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verified fuzzy
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fb15e32f-a07d-4a21-9fc7-1e2c80296c76 · outbound

This paper cites Benchmarking invertible architectures on inverse problems.

Generalized Neural Operator for Parametric and Boundary-Value Problems Benchmarking invertible architectures on inverse problems

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 927e881e-aa7d-4537-be15-d282f55dc1b5 · outbound

This paper cites Distributionally Robust Optimization.

Generalized Neural Operator for Parametric and Boundary-Value Problems Distributionally Robust Optimization

Reference 27

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Source-reported events for the cited work

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Observation beea2c74-4ab1-45ef-84aa-98e1915b6871 · outbound

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Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 85778b56-5e43-400a-9e5d-62d5eb1946c9 · outbound

This paper cites Self-guided diffusion model for accelerating computational fluid dynamics, 2025 b.

Generalized Neural Operator for Parametric and Boundary-Value Problems Self-guided diffusion model for accelerating computational fluid dynamics, 2025 b

Reference 29

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Observation a8e7f181-6b47-4555-9460-3c05ec763534 · outbound

This paper cites Flow field reconstruction with sensor placement policy learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems Flow field reconstruction with sensor placement policy learning

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f9419f46-0e1b-4c5a-83af-51ef00bfb8c8 · outbound

This paper cites B., Azizzadenesheli, K., liu, B., Bhattacharya, K., Stuart, A., and Anandkumar, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems B., Azizzadenesheli, K., liu, B., Bhattacharya, K., Stuart, A., and Anandkumar, A

Reference 31

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.511624Z digest=sha256:f15b40477112ea027ec1c38b9fc6d020b03aeaad1d7d0f42d78a26a824dd892a

Observation a9e70eda-6168-4523-b277-d9451c011c13 · outbound

This paper cites Geometry-Informed Neural Operator for Large-Scale 3D PDEs.

Generalized Neural Operator for Parametric and Boundary-Value Problems Geometry-Informed Neural Operator for Large-Scale 3D PDEs

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c462d4f9-d69f-464c-b639-9a39b93a4d18 · outbound

This paper cites Physics-Informed Neural Operator for Learning Partial Differential Equations.

Generalized Neural Operator for Parametric and Boundary-Value Problems Physics-Informed Neural Operator for Learning Partial Differential Equations

Reference 33

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.520183Z digest=sha256:122a32286ff0a34b86e03658226b494389e378c2c3647b8e16bc50550f01a18b

Observation 5cbd31a5-9e52-4073-af44-08886e79131f · outbound

This paper cites Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons

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 2026-08-15T06:32:42.880941+00:00.

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Observation c759ed4d-270d-4497-8f9e-54d3d90b4dd4 · outbound

This paper cites Transolver++: An accurate neural solver for PDE s on million-scale geometries.

Generalized Neural Operator for Parametric and Boundary-Value Problems Transolver++: An accurate neural solver for PDE s on million-scale geometries

Reference 35

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7de79282-1ca3-4f15-931e-9544e9c5c5a2 · outbound

This paper cites R.-S., Parker, L.

Generalized Neural Operator for Parametric and Boundary-Value Problems R.-S., Parker, L

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.532593Z digest=sha256:ea369dffd78c17276b329886ac953b0b3dc119ebe33e33b40f8c81392d85fdbe

Observation 00d602b3-87e1-4dbd-a4a5-1bddad6386e9 · outbound

This paper cites and Hakim, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Hakim, A

Reference 37

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source=arxiv_source observed=2026-08-15T15:36:45.536647Z digest=sha256:f91f1452326d7391fea309daf3c8f77e039a0f9656e6d23f2a25c7a99f92587f

Observation 775c1268-4d52-4327-9596-ff4602b2f469 · outbound

This paper cites Reconstructing unsteady flows from sparse, noisy measurements with a physics-constrained convolutional neural network.

Generalized Neural Operator for Parametric and Boundary-Value Problems Reconstructing unsteady flows from sparse, noisy measurements with a physics-constrained convolutional neural network

Reference 38

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source=arxiv_source observed=2026-08-15T15:36:45.540731Z digest=sha256:52147c69c3ce23a6b8d13a1cb4f786e3e9e5cd117919ba3e4a482eb0e929ae20

Observation 7a70a255-afe7-4f65-8d9b-cdf7303a04ea · outbound

This paper cites D., Barton, D.

Generalized Neural Operator for Parametric and Boundary-Value Problems D., Barton, D

Reference 39

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no resolver link, observed 2026-08-15T15:36:45.544972Z

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source=arxiv_source observed=2026-08-15T15:36:45.544972Z digest=sha256:08bd1332d93ae55633241b700ad28f83820e3db9619f61b6f6d8031ee0674ff0

Observation 1d609eb4-e967-47e0-8769-30e265b38bca · outbound

This paper cites A., Malhotra, M., and Pinsky, P.

Generalized Neural Operator for Parametric and Boundary-Value Problems A., Malhotra, M., and Pinsky, P

Reference 40

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.548997Z digest=sha256:97dcf665d6848628528c9aee54820d703dc02c0f76fbcff09fc53a2ef67ef4f4

Observation 393df2ca-3d36-45a2-a4ba-2c40dbe406d1 · outbound

This paper cites The well: a large-scale collection of diverse physics simulations for machine learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems The well: a large-scale collection of diverse physics simulations for machine learning

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.700034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.553073Z digest=sha256:75ecec594204cd6eb9d024f90b90b2622ec9246cc1612803ed2a359167530f72

Observation 76d10beb-6de3-4f73-a6fa-5ebcaf479bcf · outbound

This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.

Generalized Neural Operator for Parametric and Boundary-Value Problems PyTorch: An Imperative Style, High-Performance Deep Learning Library

Reference 42

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no resolver link, observed 2026-08-15T15:36:45.557319Z

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source=arxiv_source observed=2026-08-15T15:36:45.557319Z digest=sha256:6a170aa1752b5ef723ab3b6e23b71d5075b03b3f71be3f7b67a976efa859236a

Observation 39253907-fb56-4d47-bfa1-cbb9dc2b3ac0 · outbound

This paper cites FiLM: Visual Reasoning with a General Conditioning Layer.

Generalized Neural Operator for Parametric and Boundary-Value Problems FiLM: Visual Reasoning with a General Conditioning Layer

Reference 43

Resolution
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no resolver link, observed 2026-08-15T15:36:45.561600Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-15T15:36:45.561600Z digest=sha256:b76d955e90328f3efbc001315cca5c752236df6ca0465b4cf52e9f4d649fa54a

Observation 9c908b78-9702-4730-8c74-65c08cf0e6c5 · outbound

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

Generalized Neural Operator for Parametric and Boundary-Value Problems Learning mesh-based simulation with graph networks

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.685649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.565777Z digest=sha256:89ae604e298355e97e9967bc74df2ea35339be3c2164c53051bb021481a7210c

Observation de116bac-d1a6-4677-b13d-111b5f281dbf · outbound

This paper cites Guaranteed conservation of momentum for learning particle-based fluid dynamics.

Generalized Neural Operator for Parametric and Boundary-Value Problems Guaranteed conservation of momentum for learning particle-based fluid dynamics

Reference 45

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.569692Z digest=sha256:35a9143980d8b1645ad3cf9644362d795cf7d2c94f2f8dbebe8ab67857334756

Observation 09c9cc66-1b9c-466f-bb3d-8b8a4d795117 · outbound

This paper cites and Valli, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Valli, A

Reference 46

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.573453Z digest=sha256:62a78d1277ba9f1e10cfd13bdf5aef10bec17c9d42925fe909d64399ee1831b4

Observation 443cba1b-7b9e-482e-b70f-445ab1e4524e · outbound

This paper cites and Mehrotra, S.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Mehrotra, S

Reference 47

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source=arxiv_source observed=2026-08-15T15:36:45.577474Z digest=sha256:badc82b8ba5122a4b1e2e5da532259c7eebc94acc95ec3a070807ae55df4c774

Observation 14b6d58b-323f-4252-8626-7c388878d69f · outbound

This paper cites A., Ross, Z.

Generalized Neural Operator for Parametric and Boundary-Value Problems A., Ross, Z

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.581700Z digest=sha256:3fb3a2b23cfc2106ea34ca327480270c8e626a2a762d61144863930a661916f0

Observation 0136b6db-a917-4f2f-8e39-80247c30ca60 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Generalized Neural Operator for Parametric and Boundary-Value Problems Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 49

Resolution
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source=arxiv_source observed=2026-08-15T15:36:45.585666Z digest=sha256:b7983e1658a466acc33efba86e5af1e1cf433550616bca2d3123f3ca35805e7a

Observation 6562fcb9-1d42-4cc5-9346-ae605fe71b4f · outbound

This paper cites U-Net: Convolutional Networks for Biomedical Image Segmentation.

Generalized Neural Operator for Parametric and Boundary-Value Problems U-Net: Convolutional Networks for Biomedical Image Segmentation

Reference 50

Resolution
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no resolver link, observed 2026-08-15T15:36:45.589759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.589759Z digest=sha256:b3d82062e07f5c22f3525d9d981fb499a72baea58470c0efc50ce100dcd9f9cb

Observation e155f40f-3a76-47fc-9642-d8f21731ce4e · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 51

Resolution
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raw_fallback, observed 2026-08-15T15:36:46.643616Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.594068Z digest=sha256:402d47afc29cb6648ac2a883b2eb631be81aa9ffe236b624ab3eecbef09b6901

Observation 01668723-345f-4eaf-9561-6c2d1f659cd7 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:36:46.629616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.597971Z digest=sha256:83bbb658dfe9e671a613043494b55e1d89d8645aa5143a59cf10c22b1ad72ad8

Observation 5d3b3d93-cbb6-4c55-8498-29839b546dcd · outbound

This paper cites Deep learning of preconditioners for conjugate gradient solvers in urban water related problems.

Generalized Neural Operator for Parametric and Boundary-Value Problems Deep learning of preconditioners for conjugate gradient solvers in urban water related problems

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.616384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.601818Z digest=sha256:ec4a89bc2fc8c191eb96ad1bd53875f9b5b4a813697f823bfb6f3ddf7ed067af

Observation 3a52efe8-36e6-45ae-9bc6-41711f6ccdef · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:36:46.602457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.605548Z digest=sha256:9a77d95f1c8e536b515a3bf9ad8a6b34733248da0d05b5dd01c85f16602b6428

Observation c938775e-3025-4b49-b930-7ed3fe20a89f · outbound

This paper cites UPS : Efficiently building foundation models for PDE solving via cross-modal adaptation.

Generalized Neural Operator for Parametric and Boundary-Value Problems UPS : Efficiently building foundation models for PDE solving via cross-modal adaptation

Reference 55

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.609663Z digest=sha256:4a3ae314df95eecbd4b6ef0ddba13c0fd237b2096df5000b5adaf5d0c8ed7b90

Observation b64db75b-37c4-40c0-8c90-e8ee2cb8ec2e · outbound

This paper cites W., and Gholami, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems W., and Gholami, A

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.573930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.613681Z digest=sha256:57a5d793657a680eb2f9292b85dae30fef99ce2bd38e6b455f459480df07b535

Observation ba23d811-aa20-4e1c-a123-9c19a2028868 · outbound

This paper cites Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation.

Generalized Neural Operator for Parametric and Boundary-Value Problems Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

Reference 57

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unresolved
no resolver link, observed 2026-08-15T15:36:45.617574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.617574Z digest=sha256:a1f74f5bee0322417344d3da636dc16a914ba6ca5efe6b91b2ab162d80af5250

Observation 806fee26-14a3-4cd7-b1b4-b15f89608ec2 · outbound

This paper cites A neural PDE solver with temporal stencil modeling.

Generalized Neural Operator for Parametric and Boundary-Value Problems A neural PDE solver with temporal stencil modeling

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.557267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.621806Z digest=sha256:f01225bbc59f530348d23d5fa12ed7c6662ddbb85ef03191a5da0923f04c5230

Observation b16c1b8f-879b-4b8f-96d4-9b6ed8366143 · outbound

This paper cites Learning Neural PDE Solvers with Parameter-Guided Channel Attention.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learning Neural PDE Solvers with Parameter-Guided Channel Attention

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.625552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.625552Z digest=sha256:8142cdb7db00bda9bd113ac8bf305e175264a65c0d19553b96488a009afdea6f

Observation 59424231-81a9-48d7-bf16-012443d08e6a · outbound

This paper cites PDEBENCH: An Extensive Benchmark for Scientific Machine Learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 60

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unresolved
no resolver link, observed 2026-08-15T15:36:45.629614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.629614Z digest=sha256:f2ce2c553825e153e30ea3eb267b7262aabed8d4adaeac9bd3fb23fa2bdfc8a5

Observation d6121389-a0d3-4e1b-87d7-94bc5a356598 · outbound

This paper cites and Choromanska, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Choromanska, A

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.541635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.633899Z digest=sha256:f5adce0cc5911e774e3d81e32044c44269b41faca213c2378dfafb6033c1ba8d

Observation 5345feb7-9b52-47e8-b75c-b6e4ed63a795 · outbound

This paper cites Lagrangebench: A lagrangian fluid mechanics benchmarking suite.

Generalized Neural Operator for Parametric and Boundary-Value Problems Lagrangebench: A lagrangian fluid mechanics benchmarking suite

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.527739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.637894Z digest=sha256:cf08a445610b0270cf498b2df393fee5cf078646bb18bd0a96a4439655dce24a

Observation 77671fc8-707b-44c7-9332-58a7e4728a79 · outbound

This paper cites Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics.

Generalized Neural Operator for Parametric and Boundary-Value Problems Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.641656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.641656Z digest=sha256:283fc5d74cdf72bb79e68f3f4f7d0e929891e582186fdb04fe8cb45ea95660fe

Observation 345c4020-5d31-42a2-b4ea-0df8759c0332 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:36:46.512881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.646138Z digest=sha256:64f28b17a32dd2ef062ad206170e465afb54b997f97ce03df4fa55008776aed1

Observation e9286930-fbf7-41f5-8a68-d48a258c7412 · outbound

This paper cites Attention Is All You Need.

Generalized Neural Operator for Parametric and Boundary-Value Problems Attention Is All You Need

Reference 65

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unresolved
no resolver link, observed 2026-08-15T15:36:45.650022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.650022Z digest=sha256:dab64c1f5e7ebf7a2ba5febe01c38c22aafdd6ec714703e41b0f0c86726e9ba9

Observation eef69bb7-8fc3-4a3e-a07e-51e7d593c3c6 · outbound

This paper cites BENO : Boundary-embedded neural operators for elliptic PDE s.

Generalized Neural Operator for Parametric and Boundary-Value Problems BENO : Boundary-embedded neural operators for elliptic PDE s

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.498280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.654283Z digest=sha256:3735966930a30282aaf586872f3db4dcec279b936710e2ae7ca7719eb5cc45f1

Observation c991505e-118e-46c2-bcc7-ede4a3a40fee · outbound

This paper cites FD-Bench: A Modular and Fair Benchmark for Data-driven Fluid Simulation.

Generalized Neural Operator for Parametric and Boundary-Value Problems FD-Bench: A Modular and Fair Benchmark for Data-driven Fluid Simulation

Reference 67

Resolution
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no resolver link, observed 2026-08-15T15:36:45.658228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.658228Z digest=sha256:6d06f7f5289b2ff42df08ecb54d8797e406138830f3528e1d6787c6c85b18fde

Observation be4dbfbd-3231-45ad-a663-2e4dbe0cfccb · outbound

This paper cites Mixture-of-experts operator transformer for large-scale pde pre-training, 2025 b.

Generalized Neural Operator for Parametric and Boundary-Value Problems Mixture-of-experts operator transformer for large-scale pde pre-training, 2025 b

Reference 68

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no resolver link, observed 2026-08-15T15:36:45.662409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.662409Z digest=sha256:a5fed667e6ac26c224d3673e40982dac65e448332c3ea230c0cbfe2d652f3e29

Observation 0282dab8-4ef0-49a9-91b4-5fc935868238 · outbound

This paper cites Solving high-dimensional pdes with latent spectral models.

Generalized Neural Operator for Parametric and Boundary-Value Problems Solving high-dimensional pdes with latent spectral models

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.666339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.666339Z digest=sha256:d49503c76598c476c76d80757304143121d1662dcdd831e01183dffaaf60e877

Observation d4743897-5d7e-408d-a70c-d9f3c3943431 · outbound

This paper cites Transolver: A fast transformer solver for pdes on general geometries.

Generalized Neural Operator for Parametric and Boundary-Value Problems Transolver: A fast transformer solver for pdes on general geometries

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.474287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.670250Z digest=sha256:19be049dc7cd67458b15d4ca15bd161fdb76222feef6ad6d4dfbcec345e6816d

Observation b3cf5d42-092b-479d-9e20-bfdf8f8ad0d7 · outbound

This paper cites Rf-pinns: Reactive flow physics-informed neural networks for field reconstruction of laminar and turbulent flames using sparse data.

Generalized Neural Operator for Parametric and Boundary-Value Problems Rf-pinns: Reactive flow physics-informed neural networks for field reconstruction of laminar and turbulent flames using sparse data

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.461191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.674028Z digest=sha256:a2115c8ec8aa9d44768b18ead18cd66336c77ff7c7087d1d52fd4cc363e341f7

Observation c9f545b6-1ad8-4708-9681-d0d24e3b50ef · outbound

This paper cites PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws.

Generalized Neural Operator for Parametric and Boundary-Value Problems PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws

Reference 72

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unresolved
no resolver link, observed 2026-08-15T15:36:45.677964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.677964Z digest=sha256:18af077b7486494109f8497c7bceabda799642b03829343a57cffd5e91afb9be

Observation 9cbff773-337c-4278-8d5d-e83a3f493d72 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.682817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.682817Z digest=sha256:cf8d0450d5334c36694afe876c03f3c8009b736756582df721526a98a2f9ca7b

Observation 8559a85d-0270-42ea-bb60-28da5d906488 · outbound

This paper cites PDE former: Towards a foundation model for one-dimensional partial differential equations.

Generalized Neural Operator for Parametric and Boundary-Value Problems PDE former: Towards a foundation model for one-dimensional partial differential equations

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.447059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.687205Z digest=sha256:fc57172aaa37dd7517b4591a864fec99356e76c2d3405f6f3108996ab5bf4078

Observation 892e5960-1609-4e5d-b420-97b3d7c0fa03 · outbound

This paper cites LEADS: Learning Dynamical Systems that Generalize Across Environments.

Generalized Neural Operator for Parametric and Boundary-Value Problems LEADS: Learning Dynamical Systems that Generalize Across Environments

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:36:45.843491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.691115Z digest=sha256:84ba83742265805a3e622cc1948207fb92246ed9a299af9f0148d79daac69a66

Observation 66696d5e-d66f-4631-93e1-81317b3e37ac · outbound

This paper cites C., Li, M., and Smola, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems C., Li, M., and Smola, A

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.433744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.695415Z digest=sha256:ca85d538f1204c271e51496600b4d3f900706d91499f5fe9e44bf9aa30130221

Observation 4df781d9-096b-4338-9352-f391e447e19a · outbound

This paper cites Sparse sensor reconstruction of vortex-impinged airfoil wake with machine learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems Sparse sensor reconstruction of vortex-impinged airfoil wake with machine learning

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.699387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.699387Z digest=sha256:e4199dd0dc2420d5c3e5a98991fc333b6fdebe7a04b4c525a37539e776ce2b7f

Observation d733caa8-3359-441f-8bd6-237d0c9f32e0 · outbound

This paper cites Unisolver: PDE -conditional transformers are universal PDE solvers, 2025.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unisolver: PDE -conditional transformers are universal PDE solvers, 2025

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.420212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.703394Z digest=sha256:34ecb0115ae691b9cc6fe6d1fe44ed8e5b2fa1595d55fd8600a5e7bdf76a8006

Observation 3a2b4ced-3c22-45f8-b1ce-d3b026381a85 · outbound

This paper cites write newline.

Generalized Neural Operator for Parametric and Boundary-Value Problems write newline

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.707510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.707510Z digest=sha256:19c11882e87efd2cd52bdcea92a9ff4cfde42713d23e3dea68b48034e9c7872e

Pith citing papers

No inbound Pith citation observations are available.