PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes | Paper Citation Record

Observation 0b52f103-6823-4c0a-baa4-88e99b9d734f · outbound

This paper cites Wireless communications channel modeling based on numerical solutions of maxwell equations.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Wireless communications channel modeling based on numerical solutions of maxwell equations

Reference 1

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Observation 22ae1ab2-7172-4ac8-a260-bb21019814a0 · outbound

This paper cites Makarenko, A.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Makarenko, A

Reference 2

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This paper cites Thompson and T.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Thompson and T

Reference 3

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Observation c95e0642-9c06-471a-81fd-58dcc5480ba2 · outbound

This paper cites Banks Michael J.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Banks Michael J

Reference 4

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Observation 5d704c0a-67f8-475c-9b79-75dd26529f41 · outbound

This paper cites Finite element method for the solution of maxwell’s equations in multiple media.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Finite element method for the solution of maxwell’s equations in multiple media

Reference 5

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This paper cites Hermeline, S.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Hermeline, S

Reference 6

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Observation f89edfd4-6c5b-477c-9da8-11b4b5e56a24 · outbound

This paper cites Raissi, P.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Raissi, P

Reference 7

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This paper cites Tancik, P.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Tancik, P

Reference 8

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Observation 5862c878-27d4-413c-80eb-f2cd4bab530f · outbound

This paper cites On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks

Reference 9

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Observation 7296b3f8-5093-4a48-9c16-e6af4774e27e · outbound

This paper cites When and why pinns fail to train: A neural tangent kernel perspective.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes When and why pinns fail to train: A neural tangent kernel perspective

Reference 10

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:32.353780Z

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Observation 3cfda2f5-28de-4f7f-84c1-a5fd6956e9c9 · outbound

This paper cites From pinns to pikans: Recent advances in physics-informed machine learning.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes From pinns to pikans: Recent advances in physics-informed machine learning

Reference 12

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Observation 977d4bb7-ba62-4bc9-bba8-4f045124e963 · outbound

This paper cites Rahaman, A.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Rahaman, A

Reference 13

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Observation c180736b-0ed2-4106-b9ba-69ace391d324 · outbound

This paper cites Basri, M.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Basri, M

Reference 14

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Observation 64660bf7-b7eb-479f-86f5-fc19125a4a6f · outbound

This paper cites Random features for large-scale kernel machines.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Random features for large-scale kernel machines

Reference 15

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This paper cites Random Weight Factorization Improves the Training of Continuous Neural Representations.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Random Weight Factorization Improves the Training of Continuous Neural Representations

Reference 16

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Observation a06b73e5-2b07-41b7-af6e-d4b01102dfba · outbound

This paper cites Dong and N.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Dong and N

Reference 17

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This paper cites an unresolved cited work.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 18

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Observation 19004bf1-fdd1-4213-b58d-9d5984673802 · outbound

This paper cites Liu and Jorge Nocedal.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Liu and Jorge Nocedal

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:32.251547Z

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Observation 8b8c3459-3fbc-4994-bd9f-a87564ae448b · outbound

This paper cites Challenges in Training PINNs: A Loss Landscape Perspective.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Challenges in Training PINNs: A Loss Landscape Perspective

Reference 20

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Observation dd7c2abb-7204-468e-b27e-edaeadeb8713 · outbound

This paper cites Nysnewton: Fast neural network training with nyström approximation.arXiv preprint, 2023.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Nysnewton: Fast neural network training with nyström approximation.arXiv preprint, 2023

Reference 21

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 22

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Observation 5068a356-4725-4300-8326-a9acc7a0fda9 · outbound

This paper cites Which optimizer works best for physics-informed neural networks and kolmogorov-arnold networks?arXiv preprint arXiv:2501.16371, 2025.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Which optimizer works best for physics-informed neural networks and kolmogorov-arnold networks?arXiv preprint arXiv:2501.16371, 2025

Reference 23

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Observation 85ca1aca-3451-4427-8815-c5b13878b365 · outbound

This paper cites Residual-based attention in physics-informed neural networks.Computer Methods in Applied Mechanics and Engineering, 421:116805, 2024.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Residual-based attention in physics-informed neural networks.Computer Methods in Applied Mechanics and Engineering, 421:116805, 2024

Reference 24

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Observation 17df292b-6c81-4afc-9fbc-f4f2912cba3d · outbound

This paper cites Understanding and mitigating gradient flow pathologies in physics-informed neural networks.SIAM Journal on Scientific Computing, 43(5):A3055–A3081, 2021.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Understanding and mitigating gradient flow pathologies in physics-informed neural networks.SIAM Journal on Scientific Computing, 43(5):A3055–A3081, 2021

Reference 25

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Observation 7f8c146b-255e-4dda-a259-1584209bd96c · outbound

This paper cites Self-adaptive loss balanced physics-informed neural networks.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Self-adaptive loss balanced physics-informed neural networks

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Observation 96204b0a-c092-4789-82d8-79c74d1e6e6f · outbound

This paper cites Self-adaptive physics-informed neural networks.Journal of Computational Physics, 474:111722, 2023.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Self-adaptive physics-informed neural networks.Journal of Computational Physics, 474:111722, 2023

Reference 27

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 28

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Observation 393cfe14-983f-4907-8e08-af0a401394e2 · outbound

This paper cites Causality-guided adaptive sampling method for physics-informed neural networks.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Causality-guided adaptive sampling method for physics-informed neural networks

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:31.514008Z

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Observation 43f734ba-7747-4f2f-8f8d-d4f22d76d75f · outbound

This paper cites Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:32.151808Z

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Observation 8cf8d520-206d-41d3-94d5-b02df4a7fd2d · outbound

This paper cites Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 31

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This paper cites Charac- terizing possible failure modes in physics-informed neural networks.Advances in neural information processing systems, 34:26548–26560, 2021.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Charac- terizing possible failure modes in physics-informed neural networks.Advances in neural information processing systems, 34:26548–26560, 2021

Reference 32

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.997822Z

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Observation 87136225-6f1f-4269-8e88-00857373cda5 · outbound

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.981830Z

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

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Resolution: unresolved; raw_fallback, observed 2026-08-16T12:40:31.964317Z

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Observation 59744c3a-78c3-45bc-8a07-3ae5d6682903 · outbound

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 36

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PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 37

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Observation 93d918a1-28cf-4de5-9b35-819f64d8f265 · outbound

This paper cites Safikhani, M.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Safikhani, M

Reference 38

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Observation 56be9a8d-26a5-4a1f-b854-383fac47b6e4 · outbound

This paper cites Kamilaris and F.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Kamilaris and F

Reference 39

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Observation efe6de6e-0c4a-4d12-9426-e1e935192473 · outbound

This paper cites an unresolved cited work.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Unresolved cited work

Reference 40

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Observation 1c3ab6d7-e486-4f67-acf3-47acd274fba8 · outbound

This paper cites Nohra and S.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Nohra and S

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Observation ddce1737-4fd7-44a8-aa62-5a5736e3a7fa · outbound

This paper cites Neural tangent kernel: Convergence and generaliza- tion in neural networks.Advances in neural information processing systems, 31, 2018.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Neural tangent kernel: Convergence and generaliza- tion in neural networks.Advances in neural information processing systems, 31, 2018

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.844637Z

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Observation 421a05b4-bbec-4791-b033-2bdfc29e4cbe · outbound

This paper cites Zhang and H.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Zhang and H

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.826036Z

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Observation 1395b105-f026-46c5-8b0d-731c51e1a289 · outbound

This paper cites Physics-informed neural networks for imaging and parameter retrieval of photonic nanostructures from near-field data.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Physics-informed neural networks for imaging and parameter retrieval of photonic nanostructures from near-field data

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Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:31.474022Z

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Observation 7c099a73-313b-45bc-b18a-2dc8b26e1efd · outbound

This paper cites Magnetostatics and micromagnetics with physics informed neural networks.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Magnetostatics and micromagnetics with physics informed neural networks

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Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:31.450679Z

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Observation 78acb289-8820-4b28-bca8-5275a2d960e7 · outbound

This paper cites A Domain-adaptive Physics-informed Neural Network for Inverse Problems of Maxwell's Equations in Heterogeneous Media.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes A Domain-adaptive Physics-informed Neural Network for Inverse Problems of Maxwell's Equations in Heterogeneous Media

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Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:31.423952Z

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Observation 71566bc9-e47a-489a-a0c4-b506ec7ec569 · outbound

This paper cites Rosskopf, and V.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Rosskopf, and V

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.807928Z

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Observation 0e77ddf9-d166-4c79-bc7b-21b723ca2f66 · outbound

This paper cites Maxwellnet: Physics-driven deep neural network training based on maxwell’s equations.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Maxwellnet: Physics-driven deep neural network training based on maxwell’s equations

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.790097Z

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Observation 65af392b-78cf-4740-a86f-a061d0ed3c99 · outbound

This paper cites Wiley, 2020.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Wiley, 2020

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Observation 2d2ff536-566a-4acd-a83c-6e6b9ce54987 · outbound

This paper cites On exact computation with an infinitely wide neural net.Advances in neural information processing systems, 32, 2019.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes On exact computation with an infinitely wide neural net.Advances in neural information processing systems, 32, 2019

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Observation 98d08775-e741-43b1-a1ad-f5e0fdf1d9fc · outbound

This paper cites Wide neural networks of any depth evolve as linear models under gradient descent.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Wide neural networks of any depth evolve as linear models under gradient descent

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.743750Z

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Observation 7ca11418-c230-4f88-bfb2-23b878a7c6a1 · outbound

This paper cites Scaling Limits of Wide Neural Networks with Weight Sharing: Gaussian Process Behavior, Gradient Independence, and Neural Tangent Kernel Derivation.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Scaling Limits of Wide Neural Networks with Weight Sharing: Gaussian Process Behavior, Gradient Independence, and Neural Tangent Kernel Derivation

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Observation 9cf2375d-e109-4e37-8683-a7082dd09d0c · outbound

This paper cites Numerical solution of initial boundary value problems involving maxwell’s equations in isotropic media.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Numerical solution of initial boundary value problems involving maxwell’s equations in isotropic media

Reference 53

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Observation 7108842c-e508-4381-bc83-04baa401b1d6 · outbound

This paper cites Computational electromagnetics: the finite- difference time-domain method.The Electrical Engineering Handbook, 3(629-670):15, 2005.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Computational electromagnetics: the finite- difference time-domain method.The Electrical Engineering Handbook, 3(629-670):15, 2005

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.713932Z

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Observation 11c5fd5f-a8c2-4419-b64d-9d2a0d2aab5b · outbound

This paper cites Compact finite difference schemes with spectral-like resolution.Journal of computational physics, 103(1):16–42, 1992.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes Compact finite difference schemes with spectral-like resolution.Journal of computational physics, 103(1):16–42, 1992

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.695123Z

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Observation 6f457d2d-5be4-42bb-9618-d6fd1fb9a09d · outbound

This paper cites On the use of higher-order finite-difference schemes on curvilinear and deforming meshes.Journal of Computational Physics, 181(1):155–185, 2002.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes On the use of higher-order finite-difference schemes on curvilinear and deforming meshes.Journal of Computational Physics, 181(1):155–185, 2002

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.675601Z

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Observation e939271e-07e8-4e4e-981e-9a9fa935c1cd · outbound

This paper cites On the use of high order central difference schemes for differential equation based wall distance computations.

PINNs for Solving Unsteady Maxwell's Equations: Convergence Issues and Comparative Assessment with Compact Schemes On the use of high order central difference schemes for differential equation based wall distance computations

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:31.657272Z

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