Paper Citation Record · LEDGER

Transolver: A Fast Transformer Solver for PDEs on General Geometries

As of 4 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 55 inbound Pith citation observations for arXiv:2402.02366.

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

pith.paper-citation-record.v1
2402.02366 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T21:40:24.181687Z

measured 88 of 88 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 55 of 55 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:37:40.817483Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T06:15:00.866473Z

Reference resolution

33 of 33 outbound references displayed

verified exact6
verified fuzzy15
unresolved9
parse uncertain0
malformed identifier1
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc5b8072-56c8-413b-876e-3bc29e0be26d · outbound

This paper cites GPT-4 Technical Report.

Transolver: A Fast Transformer Solver for PDEs on General Geometries GPT-4 Technical Report

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T21:40:24.212331Z

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 2dcd594c-44c2-4fbe-9bae-350a2cfd5027 · outbound

This paper cites ShapeNet: An Information-Rich 3D Model Repository.

Transolver: A Fast Transformer Solver for PDEs on General Geometries ShapeNet: An Information-Rich 3D Model Repository

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-05-15T21:40:24.219909Z

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 4299a7e2-a014-46cd-ac2f-fdb93cdef0ee · outbound

This paper cites Training Deep Nets with Sublinear Memory Cost.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Training Deep Nets with Sublinear Memory Cost

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-05-15T21:40:24.226720Z

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 d737c6a7-cabf-4ac6-811c-ff3fe99d3041 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-05-15T21:40:24.233383Z

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 f5c00959-7148-45d5-bdf6-ca9e719cf03d · outbound

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

Transolver: A Fast Transformer Solver for PDEs on General Geometries Geometry-Informed Neural Operator for Large-Scale 3D PDEs

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.240718Z

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 540743c8-8cc1-49e7-b80e-785d3058b861 · outbound

This paper cites Mitigating spectral bias for the multiscale operator learning.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Mitigating spectral bias for the multiscale operator learning

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.248141Z

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 20478363-bebc-4e87-8c8d-4abaad50a44f · outbound

This paper cites Patches Are All You Need?.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Patches Are All You Need?

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.255026Z

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 41b95caa-6255-4b23-8ecd-ea09521ba09c · outbound

This paper cites ULIP-2: Towards Scalable Multimodal Pre-training for 3D Understanding.

Transolver: A Fast Transformer Solver for PDEs on General Geometries ULIP-2: Towards Scalable Multimodal Pre-training for 3D Understanding

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.261679Z

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 36cb8ae5-3b78-4da6-9ecd-20c980594abe · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.266434Z

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 4031c94b-d3c8-4593-9867-427a1272e6f3 · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.270380Z

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 38681cfc-3704-4247-bdbd-a21eaf5c2b2a · outbound

This paper cites #Mesh records the size of discretized meshes.

Transolver: A Fast Transformer Solver for PDEs on General Geometries #Mesh records the size of discretized meshes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.274699Z

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 3d0958ed-b526-46a6-87a4-c24eec1e5ef2 · outbound

This paper cites • Navier-Stokes equations for fluid(McLean, 2012): Airfoil, Pipe, Navier-Stokes, Shape-Net Car and AirfRANS.

Transolver: A Fast Transformer Solver for PDEs on General Geometries • Navier-Stokes equations for fluid(McLean, 2012): Airfoil, Pipe, Navier-Stokes, Shape-Net Car and AirfRANS

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.279413Z

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 07b81282-afb7-4a70-8699-4bfc7d92e61d · outbound

This paper cites Plasticity This benchmark is to predict the future deformation of the plasticity material under the impact from above by an arbitrary-shaped die (Li et al., 2022).

Transolver: A Fast Transformer Solver for PDEs on General Geometries Plasticity This benchmark is to predict the future deformation of the plasticity material under the impact from above by an arbitrary-shaped die (Li et al., 2022)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.284211Z

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 4a3558f0-f0ba-48e0-8085-79b239f85a47 · outbound

This paper cites Experimentally, 900 samples with different die shapes are used for model training and 80 new samples are for test.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Experimentally, 900 samples with different die shapes are used for model training and 80 new samples are for test

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.288749Z

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 06babbd9-edc3-4118-919b-620fcd5dcb6a · outbound

This paper cites Navier-Stokes This benchmark is to model the incompressible and viscous flow on a unit torus, where the fluid density is constant and viscosity is set as 10−5 (Li et al., 2021).

Transolver: A Fast Transformer Solver for PDEs on General Geometries Navier-Stokes This benchmark is to model the incompressible and viscous flow on a unit torus, where the fluid density is constant and viscosity is set as 10−5 (Li et al., 2021)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.293336Z

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 cd386d84-cc60-4fa6-bed5-629cfff3b46c · outbound

This paper cites As for the lift coefficient of AirfRANS,bi is set as (0, 0, −1).

Transolver: A Fast Transformer Solver for PDEs on General Geometries As for the lift coefficient of AirfRANS,bi is set as (0, 0, −1)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.297636Z

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 a80056eb-7ca8-47d9-82a8-d1a222d6d653 · outbound

This paper cites Especially, we configure Project() in Eq.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Especially, we configure Project() in Eq

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.301892Z

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 e2e7e7f0-8478-4e57-977b-1bf140e32919 · outbound

This paper cites Training configurations are directly from previous works without extra tuning (Bonnet et al., 2022; Hao et al., 2023; Deng et al., 2024).

Transolver: A Fast Transformer Solver for PDEs on General Geometries Training configurations are directly from previous works without extra tuning (Bonnet et al., 2022; Hao et al., 2023; Deng et al., 2024)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.306945Z

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 ef560da5-5c98-4eef-b202-17e3904d3071 · outbound

This paper cites Experimentally, we found that ONO (Xiao et al.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Experimentally, we found that ONO (Xiao et al

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.311544Z

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 066f30e4-9fef-485f-80b0-7db71563a493 · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.315627Z

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 6ed2436a-5612-4ca3-8d81-ef686bd1dc57 · outbound

This paper cites As for GNO (Li et al., 2020a) and 3D-GeoCA (Deng et al., 2024), we adopt the official code base of 3D-GeoCA.

Transolver: A Fast Transformer Solver for PDEs on General Geometries As for GNO (Li et al., 2020a) and 3D-GeoCA (Deng et al., 2024), we adopt the official code base of 3D-GeoCA

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.319921Z

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 64a5d147-850a-4bb1-88d5-eec4e68bfd8b · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.323972Z

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 1bcb087d-d722-4296-8884-332eb0e4159c · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.327886Z

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 fd780a9b-ad81-4279-a8d8-b96c90f2cfb6 · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.331413Z

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 dd233a4d-5845-477b-91d7-d08f5494c151 · outbound

This paper cites Here, GNOT fails in predicting the future deformation of Plasticity.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Here, GNOT fails in predicting the future deformation of Plasticity

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.335076Z

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 b2f1e5a4-b20e-4d8a-be18-1d5ff1da00a3 · outbound

This paper cites This means that we can set the number of slices M at will, regardless of the exact division restriction.

Transolver: A Fast Transformer Solver for PDEs on General Geometries This means that we can set the number of slices M at will, regardless of the exact division restriction

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.339258Z

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 83493df7-de17-4026-8868-d518e40efff1 · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.343344Z

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 f86b925a-3fd2-4fca-b7a3-4ff6033854f9 · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.347229Z

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 17d084ea-6e6c-485b-8191-26a3703cc6dd · outbound

This paper cites Apply to Lagrangian Settings In the main text, we follow the convention of previous neural operators (Li et al., 2021; Wu et al.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Apply to Lagrangian Settings In the main text, we follow the convention of previous neural operators (Li et al., 2021; Wu et al

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.351192Z

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 8c6cba56-22ee-4993-850d-c7ca263d5fca · outbound

This paper cites There is another branch of tasks, named Lagrangian settings, which simulates the dynamics system (e.g.

Transolver: A Fast Transformer Solver for PDEs on General Geometries There is another branch of tasks, named Lagrangian settings, which simulates the dynamics system (e.g

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.355185Z

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 5efe5e3f-adcd-471e-8227-896bc7ad07ec · outbound

This paper cites Efficiency is evaluated on inputs of different meshes during training.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Efficiency is evaluated on inputs of different meshes during training

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T21:40:24.359486Z

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 dc3f49b4-d6de-427e-b801-a2421e460c24 · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-15T21:40:24.363469Z

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 87e4c4d7-67cf-4392-b0ea-6cc6c59d3aff · outbound

This paper cites an unresolved cited work.

Transolver: A Fast Transformer Solver for PDEs on General Geometries Unresolved cited work

Reference 33

Resolution: malformed identifier; raw_fallback, observed 2026-05-15T21:40:24.367784Z

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.

Pith citing papers

Observation 3d624941-595b-4634-8f17-8f59f3be554b · inbound

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence cites this paper.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-03T16:37:40.817483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0500a0ca-6002-4e87-9360-7807a96508bb · inbound

SuperWing: a comprehensive transonic wing dataset for data-driven aerodynamic design cites this paper.

SuperWing: a comprehensive transonic wing dataset for data-driven aerodynamic design Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-05-16T21:51:17.841498Z

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 d5d40f79-f81f-4076-aa3f-d266aca3eca4 · inbound

GeoTransolver: Learning Physics on Irregular Domains Using Multi-scale Geometry Aware Physics Attention Transformer cites this paper.

GeoTransolver: Learning Physics on Irregular Domains Using Multi-scale Geometry Aware Physics Attention Transformer Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T14:27:29.944876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55fc6367-51b3-4e18-b356-ddab193586d9 · inbound

A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations cites this paper.

A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-05-21T17:05:24.204963Z

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 8c765c5b-6943-48e7-ad00-f6e0e779c592 · inbound

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

Structure-Preserving Learning Improves Geometry Generalization in Neural PDEs Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T05:22:13.002500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d8a6248-76f9-4231-bca8-4a27e0d68fe8 · inbound

Optimization and Generation in Aerodynamics Inverse Design cites this paper.

Optimization and Generation in Aerodynamics Inverse Design Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T05:00:38.919854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5309d45c-968e-438e-bd4e-63a8a999c32e · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T01:14:11.136966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b80e7f43-4cad-487b-acae-172faa149a22 · inbound

Fluids You Can Trust: Property-Preserving Operator Learning for Incompressible Flows cites this paper.

Fluids You Can Trust: Property-Preserving Operator Learning for Incompressible Flows Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-05-15T22:06:43.412512Z

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 db5ebf29-dd5d-45c0-ac30-c5cc60708c4d · inbound

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 Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 6802b473-a3fa-4d20-a55a-8ec6fd43ff3d · inbound

FLARE: A Data-Efficient Surrogate for Predicting Displacement Fields in Directed Energy Deposition cites this paper.

FLARE: A Data-Efficient Surrogate for Predicting Displacement Fields in Directed Energy Deposition Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 a68e6e26-a63f-42eb-a493-ae0cc0e2a44b · inbound

Faster by Design: Interactive Aerodynamics via Neural Surrogates Trained on Expert-Validated CFD cites this paper.

Faster by Design: Interactive Aerodynamics via Neural Surrogates Trained on Expert-Validated CFD Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 62b01f28-527d-4180-8528-d7efcbf2f805 · inbound

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

A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 461b177d-a3c3-4915-a7fa-bfb1e5b9986c · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 7ccc42e9-247c-4baf-bb3d-c940707e01d5 · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 74cb59b0-474e-4065-a236-4c0bb1fd326b · inbound

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics cites this paper.

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 57ec836d-ad4d-4512-a7e6-83d5f902597c · inbound

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics cites this paper.

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-05-19T16:52:39.762636Z

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 4e8cc2fb-f904-4704-8693-b3c5aa86085c · inbound

Replay-Based Continual Learning for Physics-Informed Neural Operators cites this paper.

Replay-Based Continual Learning for Physics-Informed Neural Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 5432e30d-c047-4517-8399-1b5060d2979e · inbound

AeroJEPA: Learning Semantic Latent Representations for Scalable 3D Aerodynamic Field Modeling cites this paper.

AeroJEPA: Learning Semantic Latent Representations for Scalable 3D Aerodynamic Field Modeling Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 37

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 0aece515-d500-4bd9-8080-4a714ef1e728 · inbound

CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation cites this paper.

CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 126

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 c9917555-d7e5-4641-90c7-6462b73a7e01 · inbound

CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation cites this paper.

CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-05-20T22:49:10.483898Z

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 45604813-86fa-4b9a-92cf-fad8dd1ef0d0 · 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 Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 102b7eec-f7ba-4565-80af-04522c7496c4 · inbound

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting cites this paper.

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 156

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 8d6732f7-53b5-4209-bd2c-4f858a45032f · inbound

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting cites this paper.

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 156

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 436905ee-5bf5-4d5a-9aff-579d15707e1e · inbound

CATO: Charted Attention for Neural PDE Operators cites this paper.

CATO: Charted Attention for Neural PDE Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 94d0b8d4-6680-4444-b09d-c9f9f22a7c21 · inbound

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs cites this paper.

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 4199cf5d-028f-4a2f-8f39-7c5e26396177 · inbound

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

ShardTensor: Domain Parallelism for Scientific Machine Learning Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 0e4bc128-e70d-46a3-a9db-a81177abfc3e · 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 Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 e7a83cd3-7ac4-4b6c-ad03-57bd440ee3ad · inbound

Di-BiLPS: Denoising induced Bidirectional Latent-PDE-Solver under Sparse Observations cites this paper.

Di-BiLPS: Denoising induced Bidirectional Latent-PDE-Solver under Sparse Observations Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 0ba12c82-0da5-4dc3-822a-321f7dee2995 · inbound

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

Discovering Physical Directions in Weight Space: Composing Neural PDE Experts Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-15T21:40:24.369199Z

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 6bea2543-2cd7-4ce5-850e-0a11462af80f · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-05-19T16:42:39.812119Z

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 3ceefe71-2555-4860-99df-70d795c5bf1e · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-06-30T21:35:04.206889Z

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 08bd7e64-df5e-4e78-9dc2-d4e54b080697 · inbound

HiLiftAeroML: High-Fidelity Computational Fluid Dynamics Dataset for High-Lift Aircraft Aerodynamics cites this paper.

HiLiftAeroML: High-Fidelity Computational Fluid Dynamics Dataset for High-Lift Aircraft Aerodynamics Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-05-20T02:58:00.414747Z

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 faa60af3-3fc6-4e30-ab01-aca4e235215c · inbound

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

IKNO: Infinite-order Kernel Neural Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-05-22T07:46:14.959998Z

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 bf0572a0-cdcc-4cd9-a6dd-99fd013f1a99 · inbound

Learning Laplacian Eigenspace with Mass-Aware Neural Operators on Point Clouds cites this paper.

Learning Laplacian Eigenspace with Mass-Aware Neural Operators on Point Clouds Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 33

Resolution: metadata mismatch; local_arxiv, observed 2026-06-30T14:54:45.509554Z

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 338e8451-6845-475a-97a1-3b542179b545 · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-06-30T12:04:38.623178Z

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 303b0045-f0b5-4678-8445-e3adbc2c3e2b · inbound

Transformer-based Neural Operators for 3D Wind Field Prediction over Complex Mountainous Terrain cites this paper.

Transformer-based Neural Operators for 3D Wind Field Prediction over Complex Mountainous Terrain Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-06-29T21:03:59.241610Z

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 dca5e308-4541-456e-9105-8818280bbd6c · inbound

High-Fidelity Industrial Crash Dynamics Prediction via Geometry-Aware Operator Learning with Memory-Efficient Low-Rank Attention cites this paper.

High-Fidelity Industrial Crash Dynamics Prediction via Geometry-Aware Operator Learning with Memory-Efficient Low-Rank Attention Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-06-29T18:13:48.941107Z

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 03f0433c-5ac2-4214-815c-651f63fe7714 · inbound

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

Functional Attention: From Pairwise Affinities to Functional Correspondences Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-06-29T00:02:50.326734Z

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 6a781f25-d5e7-464c-aed5-0dc4b09c22af · inbound

An Exploratory Study into using Machine-Learning for Fast Step-by-step Emulation of Numerical Mechanical Thrombectomy Simulations for Ischemic Stroke cites this paper.

An Exploratory Study into using Machine-Learning for Fast Step-by-step Emulation of Numerical Mechanical Thrombectomy Simulations for Ischemic Stroke Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-06-28T19:52:35.339887Z

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 4cf795d1-ac53-43c7-b25e-175749bcfb40 · inbound

EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs cites this paper.

EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 17

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T02:16:26.952993Z

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 0f1287aa-624e-4b36-8010-4e421941af81 · inbound

Attention mechanism for scalable mesh-based neural surrogates of free-surface fluids cites this paper.

Attention mechanism for scalable mesh-based neural surrogates of free-surface fluids Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-06-26T06:19:03.890908Z

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 2accf909-8aa4-4da1-85e4-1c2073d2a8b5 · inbound

Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow cites this paper.

Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-04T18:50:04.815591Z

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 13863aaf-819a-4989-8707-20bb8a52fe4b · inbound

Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow cites this paper.

Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T12:24:12.887915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edec5438-2ba6-43fb-9b96-59ac7d76e2dd · inbound

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer cites this paper.

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 40

Resolution: metadata mismatch; local_arxiv, observed 2026-07-01T10:15:44.173001Z

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 fd3a5890-1427-4b82-9288-9af60d3320dd · inbound

LSR-Net: Long-Short-Range Operator Learning for Pattern Dynamics on Manifolds cites this paper.

LSR-Net: Long-Short-Range Operator Learning for Pattern Dynamics on Manifolds Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-02T02:06:26.027796Z

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 dd348479-6173-4d57-a4ec-d0d6222ad76b · inbound

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems cites this paper.

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:37:05.886807Z

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 30c3070e-9c8a-4066-928d-76bbb28b7b68 · inbound

Knowledge-Constrained Shape Optimization with a Mixture-of-Experts Neural Operator for High-Confidence Design cites this paper.

Knowledge-Constrained Shape Optimization with a Mixture-of-Experts Neural Operator for High-Confidence Design Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T16:12:09.687589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eed52f8e-d5d3-412a-97ad-3d49c3decf63 · inbound

NeuroForge: A Self-Correcting, Geometry-Native Neural CFD Engine with Calibrated Physics-Residual Trust cites this paper.

NeuroForge: A Self-Correcting, Geometry-Native Neural CFD Engine with Calibrated Physics-Residual Trust Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T12:34:40.550770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4f9bcb1-716d-4bbb-a3e2-5c9369fdb235 · inbound

A multi-scale feature enhanced graph neural network for fluid dynamics prediction in complex geometries cites this paper.

A multi-scale feature enhanced graph neural network for fluid dynamics prediction in complex geometries Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T03:58:20.710039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48ddc546-8f89-48d3-ba8d-3206fb17e582 · 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: A Fast Transformer Solver for PDEs on General Geometries

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T03:30:46.140539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c33da1c8-bdb4-4cf3-b453-cf3e70ae1ab7 · inbound

Multi-Granularity Conformal Prediction for Reliable Neural-Operator Automotive Aerodynamic Surrogates cites this paper.

Multi-Granularity Conformal Prediction for Reliable Neural-Operator Automotive Aerodynamic Surrogates Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T18:29:53.979698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59ebd0e4-41ff-4aae-8a2e-7147f9551414 · inbound

Adaptive Mamba Neural Operators cites this paper.

Adaptive Mamba Neural Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.726499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92fcd808-4c2d-46f4-a7ce-92db74895487 · 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 Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T10:13:42.118654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45059cc7-555e-48e0-8513-07df108234a6 · inbound

Geometry-aware LegONet for PDE Learning on Arbitrary Domains cites this paper.

Geometry-aware LegONet for PDE Learning on Arbitrary Domains Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T03:46:03.481953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03422007-51a9-40d7-855f-11b0ebab47c4 · inbound

Neural operator discovery from heterogeneous trajectories cites this paper.

Neural operator discovery from heterogeneous trajectories Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.144007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.