Paper Citation Record · LEDGER

Message Passing Neural PDE Solvers

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 41 inbound Pith citation observations for arXiv:2202.03376.

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pith.paper-citation-record.v1
2202.03376 v3

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measured 41 of 41 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:42:31.855221Z

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Source: arxiv_reference, observed 2026-07-03T04:47:38.079077Z

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Pith citing papers

Observation 4451001e-c489-4575-93c9-a140737390d1 · inbound

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning cites this paper.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Message Passing Neural PDE Solvers

Reference 18

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Observation 8c0c25c0-6b3a-4b0b-a2e8-bd704a5b1687 · inbound

Predicting Change, Not States: An Alternate Framework for Neural PDE Surrogates cites this paper.

Predicting Change, Not States: An Alternate Framework for Neural PDE Surrogates Message Passing Neural PDE Solvers

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T13:31:12.008806Z

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Observation 75d49021-74bb-4844-bc60-32d3183bf53d · inbound

Neural equilibria for long-term prediction of nonlinear conservation laws cites this paper.

Neural equilibria for long-term prediction of nonlinear conservation laws Message Passing Neural PDE Solvers

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-23T05:07:34.891944Z

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Observation 42818588-9fca-4928-8019-eced2e6df28c · inbound

Towards Foundational Models for Dynamical System Reconstruction: Hierarchical Meta-Learning via Mixture of Experts cites this paper.

Towards Foundational Models for Dynamical System Reconstruction: Hierarchical Meta-Learning via Mixture of Experts Message Passing Neural PDE Solvers

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T19:48:11.270764Z

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Observation 028bd6a8-de3a-4036-aa46-49c68993e1aa · inbound

A Deep Learning approach for parametrized and time dependent Partial Differential Equations using Dimensionality Reduction and Neural ODEs cites this paper.

A Deep Learning approach for parametrized and time dependent Partial Differential Equations using Dimensionality Reduction and Neural ODEs Message Passing Neural PDE Solvers

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T05:46:27.996440Z

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Observation bdab70b7-8d05-4146-99ae-8c3c6e9ce392 · inbound

PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient Simulations cites this paper.

PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient Simulations Message Passing Neural PDE Solvers

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T22:46:18.022436Z

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Observation 20cb6d5e-f5a0-444b-a8f7-fb9949e0c55c · inbound

Predicting The Evolution of Interfaces with Fourier Neural Operators cites this paper.

Predicting The Evolution of Interfaces with Fourier Neural Operators Message Passing Neural PDE Solvers

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T00:42:31.855221Z

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Observation e0de77c3-40f0-4011-a254-b89bcc0cf3b6 · inbound

Governing Equation Discovery from Data Based on Differential Invariants cites this paper.

Governing Equation Discovery from Data Based on Differential Invariants Message Passing Neural PDE Solvers

Reference 2010

Resolution: unresolved; no resolver link, observed 2026-08-07T14:32:13.382456Z

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Observation 4f6721a6-3521-4a26-a1b1-085201a1022e · inbound

Hybrid Neural-MPM for Interactive Fluid Simulations in Real-Time cites this paper.

Hybrid Neural-MPM for Interactive Fluid Simulations in Real-Time Message Passing Neural PDE Solvers

Reference 4

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Observation 60625166-1fff-44c9-a90f-b3833ece7540 · inbound

Hierarchical Implicit Neural Emulators cites this paper.

Hierarchical Implicit Neural Emulators Message Passing Neural PDE Solvers

Reference 18

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Observation 3447aa2a-6a76-4185-be88-5098445c4146 · inbound

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning cites this paper.

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning Message Passing Neural PDE Solvers

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:37.643430Z

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Observation 746943c1-c68b-4a12-a19a-f79a3bd6b5fe · inbound

GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations cites this paper.

GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations Message Passing Neural PDE Solvers

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T00:29:33.032066Z

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Observation 9482d71a-8fbb-486b-bbfe-8e14b79d40f8 · inbound

PhysiX: A Foundation Model for Physics Simulations cites this paper.

PhysiX: A Foundation Model for Physics Simulations Message Passing Neural PDE Solvers

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T19:05:59.989431Z

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Observation ff3291ff-16c9-421c-b270-f45e6b84b5a2 · inbound

On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition cites this paper.

On the under-reaching phenomenon in message-passing neural PDE solvers: revisiting the CFL condition Message Passing Neural PDE Solvers

Reference 42

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Observation 4568c883-f065-4dfe-b8a4-7abbfe5dca7d · inbound

Accelerating HEC-RAS: A Recurrent Neural Operator for Rapid River Forecasting cites this paper.

Accelerating HEC-RAS: A Recurrent Neural Operator for Rapid River Forecasting Message Passing Neural PDE Solvers

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-06T15:32:00.745859Z

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Observation 75ef5a81-523d-4476-a083-f5b8e7704be5 · inbound

Separated-Variable Spectral Neural Networks: A Physics-Informed Learning Approach for High-Frequency PDEs cites this paper.

Separated-Variable Spectral Neural Networks: A Physics-Informed Learning Approach for High-Frequency PDEs Message Passing Neural PDE Solvers

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T06:09:14.626065Z

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Observation 9a940591-8170-4dc7-8d85-70f380e30242 · inbound

Improving Long-term Autoregressive Spatiotemporal Predictions: A Proof of Concept with Fluid Dynamics cites this paper.

Improving Long-term Autoregressive Spatiotemporal Predictions: A Proof of Concept with Fluid Dynamics Message Passing Neural PDE Solvers

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T17:01:25.959624Z

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Observation 077f76c2-a07f-4c38-af83-5a36aa25f722 · inbound

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling cites this paper.

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling Message Passing Neural PDE Solvers

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-18T11:26:18.460905Z

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Observation d5671b64-dabe-4101-84d5-79294e782cd1 · inbound

An Energy Stable Approach for Learning Derivative Operators from Noisy Data for Maxwells Equations cites this paper.

An Energy Stable Approach for Learning Derivative Operators from Noisy Data for Maxwells Equations Message Passing Neural PDE Solvers

Reference 6

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T18:28:14.703948Z

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Observation 4e943cf8-0917-44ea-9bce-1ee8faeae199 · inbound

An Energy Stable Approach for Learning Derivative Operators from Noisy Data for Maxwells Equations cites this paper.

An Energy Stable Approach for Learning Derivative Operators from Noisy Data for Maxwells Equations Message Passing Neural PDE Solvers

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T12:45:14.990200Z

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Learning collision operators from plasma phase space data using differentiable simulators cites this paper.

Learning collision operators from plasma phase space data using differentiable simulators Message Passing Neural PDE Solvers

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T10:16:48.259148Z

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A robust and stable hybrid neural network/finite element method for 2D flows that generalizes to different geometries cites this paper.

A robust and stable hybrid neural network/finite element method for 2D flows that generalizes to different geometries Message Passing Neural PDE Solvers

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T08:33:27.081224Z

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Observation 30ad716b-7414-475a-800e-9f7ce63c68d3 · inbound

FluxNet: Learning Capacity-Constrained Local Transport Operators for Conservative and Bounded PDE Surrogates cites this paper.

FluxNet: Learning Capacity-Constrained Local Transport Operators for Conservative and Bounded PDE Surrogates Message Passing Neural PDE Solvers

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T05:34:24.529183Z

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Observation 7cc819e4-bc6f-4661-879e-6e3f951905d5 · inbound

Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems cites this paper.

Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems Message Passing Neural PDE Solvers

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-03T01:14:10.166641Z

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A Structure-Preserving Graph Neural Solver for Parametric Hyperbolic Conservation Laws cites this paper.

A Structure-Preserving Graph Neural Solver for Parametric Hyperbolic Conservation Laws Message Passing Neural PDE Solvers

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-10T09:08:27.110820Z

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Observation 861758ac-ffb4-4c8a-91cb-442a0c881762 · inbound

Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations cites this paper.

Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations Message Passing Neural PDE Solvers

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-10T08:12:26.545018Z

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Observation 670164af-06bc-457a-a620-ebcd721845b2 · inbound

A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting cites this paper.

A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting Message Passing Neural PDE Solvers

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-10T00:14:46.501339Z

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Observation ccc12ce9-c1d5-4170-9002-b4e596baa52a · inbound

A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds cites this paper.

A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds Message Passing Neural PDE Solvers

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-12T02:11:15.890334Z

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Observation 03e7cb45-dfc3-4d07-9df6-b82f52560c9c · inbound

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators cites this paper.

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators Message Passing Neural PDE Solvers

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:26:19.786803Z

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Observation 27d5434d-032e-4384-9ba1-57d483e84b42 · inbound

U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics cites this paper.

U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics Message Passing Neural PDE Solvers

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-14T20:39:28.917361Z

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Observation 19e5d46c-b79e-40cb-b41f-9d1d90a87a35 · inbound

Discovering Physical Directions in Weight Space: Composing Neural PDE Experts cites this paper.

Discovering Physical Directions in Weight Space: Composing Neural PDE Experts Message Passing Neural PDE Solvers

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:08:29.745047Z

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Observation fd19272b-2aa7-44bb-9cd1-4d92c19aa39c · inbound

IKNO: Infinite-order Kernel Neural Operators cites this paper.

IKNO: Infinite-order Kernel Neural Operators Message Passing Neural PDE Solvers

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:46:14.926507Z

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Observation 145516c8-0b21-4a2f-b951-eb82b6cb0fea · inbound

Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition cites this paper.

Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition Message Passing Neural PDE Solvers

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-30T12:04:38.628961Z

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Observation 0dcd953b-4b19-4283-b561-ec0c0e2f5cbb · inbound

Autoregression-Free Neural Operators for Time-Dependent PDEs cites this paper.

Autoregression-Free Neural Operators for Time-Dependent PDEs Message Passing Neural PDE Solvers

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-06-29T22:24:00.536704Z

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Observation 9870c167-72b4-4706-8a36-c35d770cca95 · inbound

LEIA: Learned Environment for Interactive Architected Materials cites this paper.

LEIA: Learned Environment for Interactive Architected Materials Message Passing Neural PDE Solvers

Reference 73

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T13:43:29.103841Z

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Observation 32590d4a-9f5a-4e1b-b01b-46c900c080fa · inbound

When Do Autoregressive Sequence Models Forecast Physical Wavefields? A Controlled Study on Synthetic Seismograms cites this paper.

When Do Autoregressive Sequence Models Forecast Physical Wavefields? A Controlled Study on Synthetic Seismograms Message Passing Neural PDE Solvers

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T04:47:38.080662Z

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Observation 15183857-9b46-4cb7-9ca7-4903a93748c6 · inbound

Neural operator preconditioning from mixed dataset for the Helmholtz equations: Application to transcranial ultrasound cites this paper.

Neural operator preconditioning from mixed dataset for the Helmholtz equations: Application to transcranial ultrasound Message Passing Neural PDE Solvers

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T19:41:31.598943Z

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Observation 908aaa73-f27a-46c0-ac1f-2f45e3668718 · inbound

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields cites this paper.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Message Passing Neural PDE Solvers

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T10:13:40.636750Z

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Generalized Neural Operator for Parametric and Boundary-Value Problems cites this paper.

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

Reference 9

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Observation 4982cda2-44bb-4bf0-ae97-9410108d20c8 · inbound

Neptuna: A Comprehensive Machine Learning Framework for Benchmarking Complex Multiphase Flows cites this paper.

Neptuna: A Comprehensive Machine Learning Framework for Benchmarking Complex Multiphase Flows Message Passing Neural PDE Solvers

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T05:17:57.703911Z

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Observation 810289f9-fbb4-48d5-9d80-196fe64d8e4e · inbound

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study cites this paper.

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study Message Passing Neural PDE Solvers

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-30T16:23:26.553830Z

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