Paper Citation Record · LEDGER

Accurate and scalable deep Maxwell solvers using multilevel iterative methods

As of 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2509.03622.

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

pith.paper-citation-record.v1
2509.03622 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:53:36.796144Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T15:14:38.994177Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 97be2386-389d-47f2-bd04-d8bf3c304a3d · outbound

This paper cites Journal of Heat Transfer 143(6), 060801 (2021).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Journal of Heat Transfer 143(6), 060801 (2021)

Reference 1

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Observation 962cc7c0-c1e3-4521-94aa-c5e23f74ee0f · outbound

This paper cites npj Computational Materials 5(1), 56 (2019) 19.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods npj Computational Materials 5(1), 56 (2019) 19

Reference 2

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Observation 763e7670-69e5-490e-8d97-6fd3a12e66d0 · outbound

This paper cites Communications Engineering 3(1), 151 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Communications Engineering 3(1), 151 (2024)

Reference 3

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Observation 2cce91f9-7d59-4762-abb8-a686c02896a1 · outbound

This paper cites Nature Communications 15(1), 9229 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Nature Communications 15(1), 9229 (2024)

Reference 4

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This paper cites Nature communications 16(1), 1422 (2025).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Nature communications 16(1), 1422 (2025)

Reference 5

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Observation 99810c33-0848-4c53-b1dc-1541bb5ab4f8 · outbound

This paper cites Nature Machine Intelligence 6(4), 393–403 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Nature Machine Intelligence 6(4), 393–403 (2024)

Reference 6

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This paper cites Nature Communications 16(1), 2251 (2025).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Nature Communications 16(1), 2251 (2025)

Reference 7

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This paper cites Scientific reports 9(1), 19728 (2019).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Scientific reports 9(1), 19728 (2019)

Reference 8

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Observation 33040fa3-d233-458e-8378-8c02cfe52336 · outbound

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

Accurate and scalable deep Maxwell solvers using multilevel iterative methods DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 9

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Observation ea8f4f4d-78b9-489f-aa75-40ae0a13ffaa · outbound

This paper cites Learning Neural PDE Solvers with Convergence Guarantees.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Learning Neural PDE Solvers with Convergence Guarantees

Reference 10

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Observation fce76699-15a7-4608-9d92-5b5d7d5cea25 · outbound

This paper cites SIAM Journal on Scientific Computing 47(1), 151–181 (2025).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods SIAM Journal on Scientific Computing 47(1), 151–181 (2025)

Reference 11

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This paper cites Advances in Neural Information Processing Systems 37, 128636–128667 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Advances in Neural Information Processing Systems 37, 128636–128667 (2024)

Reference 12

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This paper cites Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers

Reference 13

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Observation f320aef9-d7a4-42a2-88df-e968444c9990 · outbound

This paper cites Journal of Computational physics 378, 686–707 (2019) 20.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Journal of Computational physics 378, 686–707 (2019) 20

Reference 14

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Observation 398db6d3-a57c-4890-ad35-aa6fd182ecc5 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Fourier Neural Operator for Parametric Partial Differential Equations

Reference 15

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Observation 32bdc7ae-e178-4517-add8-1d5d3622ebe8 · outbound

This paper cites Nature Machine Intelligence 6(6), 631–640 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Nature Machine Intelligence 6(6), 631–640 (2024)

Reference 16

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Observation 81054237-9175-46db-8e5d-1202100d59fb · outbound

This paper cites In: International Conference on Machine Learning, pp.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods In: International Conference on Machine Learning, pp

Reference 17

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Observation e590502d-b110-4887-a83f-adb28e8d3100 · outbound

This paper cites HAMLET: Graph Transformer Neural Operator for Partial Differential Equations.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods HAMLET: Graph Transformer Neural Operator for Partial Differential Equations

Reference 18

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This paper cites PINN-MG: A Multigrid-Inspired Hybrid Framework Combining Iterative Method and Physics-Informed Neural Networks.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods PINN-MG: A Multigrid-Inspired Hybrid Framework Combining Iterative Method and Physics-Informed Neural Networks

Reference 19

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Observation 46160177-0277-4283-9eb4-64837c6f92ee · outbound

This paper cites Nature Machine Intelligence, 1–11 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Nature Machine Intelligence, 1–11 (2024)

Reference 20

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This paper cites Communications in Computational Physics 28(5) (2020).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Communications in Computational Physics 28(5) (2020)

Reference 21

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Observation d5e03a69-1c8f-4548-b280-1df6f8f2bb86 · outbound

This paper cites A Generalized Schwarz-type Non-overlapping Domain Decomposition Method using Physics-constrained Neural Networks.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods A Generalized Schwarz-type Non-overlapping Domain Decomposition Method using Physics-constrained Neural Networks

Reference 22

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This paper cites Com- puter Methods in Applied Mechanics and Engineering 429, 117116 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Com- puter Methods in Applied Mechanics and Engineering 429, 117116 (2024)

Reference 23

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This paper cites In: Salakhutdinov, R., Kolter, Z., Heller, K., Weller, A., Oliver, N., Scarlett, J., Berkenkamp, F.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods In: Salakhutdinov, R., Kolter, Z., Heller, K., Weller, A., Oliver, N., Scarlett, J., Berkenkamp, F

Reference 24

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Observation e3689f98-48e4-4513-a294-54b813f9a825 · outbound

This paper cites In: International Conference on Machine Learning, pp.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods In: International Conference on Machine Learning, pp

Reference 25

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This paper cites SIAM Journal on Scientific Computing 46(5), 123–144 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods SIAM Journal on Scientific Computing 46(5), 123–144 (2024)

Reference 26

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This paper cites SIAM Journal on Scientific Computing 43(5), 816–838 (2021).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods SIAM Journal on Scientific Computing 43(5), 816–838 (2021)

Reference 27

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Observation e2b31c85-4e94-4556-bfd0-c7c591e1500b · outbound

This paper cites SIAM Journal on Scientific Computing 41(6), 3887–3912 (2019).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods SIAM Journal on Scientific Computing 41(6), 3887–3912 (2019)

Reference 28

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This paper cites In: Domain Decomposition Methods in Science and Engineering XXVI, pp.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods In: Domain Decomposition Methods in Science and Engineering XXVI, pp

Reference 29

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This paper cites SIAM Journal on Scientific Computing 45(3), 127–151 (2022).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods SIAM Journal on Scientific Computing 45(3), 127–151 (2022)

Reference 30

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This paper cites A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media

Reference 31

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This paper cites In: The Thirteenth International Conference on Learning Representations (2025).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods In: The Thirteenth International Conference on Learning Representations (2025)

Reference 32

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Observation 2d475faa-5ccb-4bce-a50c-7d3409fc6550 · outbound

This paper cites Domain Decomposition with Neural Network Interface Approximations for time-harmonic Maxwell's equations with different wave numbers.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Domain Decomposition with Neural Network Interface Approximations for time-harmonic Maxwell's equations with different wave numbers

Reference 33

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This paper cites IEEE Antennas and Wireless Propagation Letters 23(10), 2905–2909 (2024).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods IEEE Antennas and Wireless Propagation Letters 23(10), 2905–2909 (2024)

Reference 34

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Observation 7786cd5a-c601-4f3b-bc78-963bd9adc09e · outbound

This paper cites Advances in Water Resources 34(9), 1124–1139 (2011).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Advances in Water Resources 34(9), 1124–1139 (2011)

Reference 35

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This paper cites SIAM, ??? (2015).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods SIAM, ??? (2015)

Reference 36

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Observation c8487250-9b3b-4720-bc54-ded50bbc420c · outbound

This paper cites Comptes Rendus.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Comptes Rendus

Reference 37

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Observation d310f7a1-4d9b-44cb-a02e-ebb9e7414df3 · outbound

This paper cites Comptes Rendus Mathematique 353(10), 959–963 (2015).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Comptes Rendus Mathematique 353(10), 959–963 (2015)

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:38.674720Z

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Observation 6f91cf79-cd02-432c-b5c9-f11167c0c0e2 · outbound

This paper cites Numerische Mathematik 85(2), 283–308 (2000).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Numerische Mathematik 85(2), 283–308 (2000)

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:38.425398Z

Source-reported events for the cited work

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Observation e39f1a90-7d00-41b1-a387-fda5bb1605e4 · outbound

This paper cites Future Generation Computer Systems 18(1), 69–78 (2001).

Accurate and scalable deep Maxwell solvers using multilevel iterative methods Future Generation Computer Systems 18(1), 69–78 (2001)

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:38.153431Z

Source-reported events for the cited work

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Observation b71c65e4-2373-423d-bfa0-20b8a9dec3ac · outbound

This paper cites ACS Photonics 6(11), 3010–3016 (2019) 23.

Accurate and scalable deep Maxwell solvers using multilevel iterative methods ACS Photonics 6(11), 3010–3016 (2019) 23

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:53:37.913936Z

Source-reported events for the cited work

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Pith citing papers

Observation 667029b4-0363-406f-8999-ca978723d401 · inbound

A General Differentiable Ray-Wave Framework for Hybrid Refractive-Diffractive System Modeling and Optimization cites this paper.

A General Differentiable Ray-Wave Framework for Hybrid Refractive-Diffractive System Modeling and Optimization Accurate and scalable deep Maxwell solvers using multilevel iterative methods

Reference 81

Resolution: verified exact; arxiv_id, observed 2026-05-19T15:17:38.448905Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.