Paper Citation Record · LEDGER

Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 inbound Pith citation observations for arXiv:2502.02414.

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

pith.paper-citation-record.v1
2502.02414 v2

Coverage vector

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measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T05:22:12.180142Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T21:35:04.210949Z

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 0c7540a0-34b2-4e6c-9311-374e99d04c37 · inbound

Structure-Preserving Learning Improves Geometry Generalization in Neural PDEs cites this paper.

Structure-Preserving Learning Improves Geometry Generalization in Neural PDEs Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T05:22:12.180142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ca3291b-4c5d-4033-a886-f96b37fd41f8 · 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 Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T01:14:11.218375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb21b1ee-2c43-4302-80ff-9eb20ee15f7e · inbound

Multiscale Physics-Informed Neural Network for Complex Fluid Flows with Long-Range Dependencies cites this paper.

Multiscale Physics-Informed Neural Network for Complex Fluid Flows with Long-Range Dependencies Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:20:51.525401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2e4a3301-997f-48d3-ab47-10a96a211a76 · inbound

One Scale at a Time: Scale-Autoregressive Modeling for Fluid Flow Distributions cites this paper.

One Scale at a Time: Scale-Autoregressive Modeling for Fluid Flow Distributions Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:16:03.667671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5adb0e6f-2c9c-4765-9908-d4fff3644284 · inbound

Neural Shape Operator Surrogates -- Expression Rate Bounds cites this paper.

Neural Shape Operator Surrogates -- Expression Rate Bounds Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:10:09.871285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f80c1ca7-f2d2-477a-bfd5-54f0b59eb7c7 · inbound

Learning Neural Operator Surrogates for the Black Hole Accretion Code cites this paper.

Learning Neural Operator Surrogates for the Black Hole Accretion Code Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-12T00:21:23.606758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b3112096-d7b0-4581-9331-c317536316ef · inbound

RETO: A Rotary-Enhanced Transformer Operator for High-Fidelity Prediction of Automotive Aerodynamics cites this paper.

RETO: A Rotary-Enhanced Transformer Operator for High-Fidelity Prediction of Automotive Aerodynamics Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-11T15:11:04.464403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 56e48a8b-972d-4618-9da4-efdea7eaa266 · inbound

ShardTensor: Domain Parallelism for Scientific Machine Learning cites this paper.

ShardTensor: Domain Parallelism for Scientific Machine Learning Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:07:09.022281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e73788da-87f7-44a5-b12e-f686edbcb5fb · inbound

Neural-Schwarz Tiling for Geometry-Universal PDE Solving at Scale cites this paper.

Neural-Schwarz Tiling for Geometry-Universal PDE Solving at Scale Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-13T06:27:24.330876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fdc3bb98-607a-4785-988b-2d8626ee8745 · inbound

Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation cites this paper.

Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-19T16:42:39.807031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 824abc8e-5175-49bf-a56b-17c4ec6b5827 · inbound

Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation cites this paper.

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-06-30T21:35:04.212480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6b01e447-c074-4958-af75-0a94a1ef036a · inbound

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

IKNO: Infinite-order Kernel Neural Operators Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:46:14.965962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 46fb0462-b3ec-44c3-a9ba-1afd4b21692a · 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 Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-30T12:04:38.623662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9bf561f8-04c6-4aa8-b396-22cbe2594985 · inbound

Adapting Automotive Aerodynamics Surrogates to New Vehicle Families via Transfer Learning cites this paper.

Adapting Automotive Aerodynamics Surrogates to New Vehicle Families via Transfer Learning Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-06-29T10:03:17.296032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7b0f6683-66b4-4d1c-82c7-20c78f320ff8 · inbound

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

LEIA: Learned Environment for Interactive Architected Materials Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-06-29T13:43:29.076538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3fbb60ee-6bb1-4c7d-82cb-bd971f60e144 · inbound

Physics-Informed Coarsening for Multigrid Graph Neural Surrogates cites this paper.

Physics-Informed Coarsening for Multigrid Graph Neural Surrogates Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-06-29T00:02:50.450832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d319d0e3-f9e2-47a8-ba70-9ae9306bf042 · inbound

Functional Attention: From Pairwise Affinities to Functional Correspondences cites this paper.

Functional Attention: From Pairwise Affinities to Functional Correspondences Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-06-29T00:02:50.333016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e7086da5-6190-4e59-94bf-55ca49e0a266 · inbound

Evaluation of State-of-the-Art Deep Learning Architectures for Aerodynamical Predictions cites this paper.

Evaluation of State-of-the-Art Deep Learning Architectures for Aerodynamical Predictions Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-02T03:30:45.443683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0f2257a-6aab-45d0-872a-c044af71e12b · inbound

Adaptive Mamba Neural Operators cites this paper.

Adaptive Mamba Neural Operators Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.535135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aee16058-e4c5-4ecf-ac2a-a05043d3f956 · inbound

Data-free neural PDE solvers based on Graph Neural Networks and weak forms cites this paper.

Data-free neural PDE solvers based on Graph Neural Networks and weak forms Transolver++: An Accurate Neural Solver for PDEs on Million-Scale Geometries

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T23:24:56.512172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.