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Paper Citation Record · LEDGER

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation

As of 21 August 2026, this Paper Citation Record lists 100 of 131 outbound references and 0 inbound Pith citation observations for arXiv:2607.19167.

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

pith.paper-citation-record.v1
2607.19167 v1

Coverage vector

measured 100 of 131 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T13:21:48.395163Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

100 of 131 outbound references displayed

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  • verified fuzzy0
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External citation measurements

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Outbound references

Observation bfef2b2d-40b9-4669-8496-bf484d648ef5 · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 1

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source=arxiv_source observed=2026-08-01T13:21:43.004117Z digest=sha256:5f98c5984087568d9a62b7ad15b8525cdf84c9ab951458d334ca141b5cbae0cd

Observation 6f779c33-bad8-4b3e-a9ed-19336c9e6a3b · outbound

This paper cites 2014 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2014 , publisher=

Reference 2

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source=arxiv_source observed=2026-08-01T13:21:43.080255Z digest=sha256:8c6453389151713b7aee5c08bae81af7b25873b753b91a19e15344e0a89af633

Observation 28dfb104-abd4-4151-b173-ed2ba24f198a · outbound

This paper cites Analysis and approximation of rare events.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Analysis and approximation of rare events

Reference 3

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source=arxiv_source observed=2026-08-01T13:21:43.162383Z digest=sha256:ec69af7f4d9ae95eec07a20917d2388fa1dbeed73c1da5486cf01ca7a3a5298e

Observation cd5439b1-1680-4fa7-838a-f2ac644266d1 · outbound

This paper cites Escape from an attractor: importance sampling and rest points:.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Escape from an attractor: importance sampling and rest points:

Reference 4

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source=arxiv_source observed=2026-08-01T13:21:43.272098Z digest=sha256:6a8c42db7a9401dc78b3b805f0a053992ba133afa5966f3f7a65a78290f6976f

Observation 6b03c1e9-7f75-4692-a08d-a6670dafad38 · outbound

This paper cites Enforcing.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Enforcing

Reference 5

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source=arxiv_source observed=2026-08-01T13:21:43.331828Z digest=sha256:19df0d8a3e7374a64c92407b7a00b10203a8beab90aaf70ac831bfeec188cd38

Observation d7bc7cbc-6bce-4138-8c5f-c9e1a905dc74 · outbound

This paper cites A comparison study of deep.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation A comparison study of deep

Reference 6

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source=arxiv_source observed=2026-08-01T13:21:43.409750Z digest=sha256:6f566312add6c5f194e578980e7e1ca2886910b91bb54376def508ddff18db06

Observation 892e73b0-ba8f-4767-b5d8-17cb70af6bef · outbound

This paper cites International Conference on Learning Representation , year=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation International Conference on Learning Representation , year=

Reference 7

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source=arxiv_source observed=2026-08-01T13:21:43.467986Z digest=sha256:f93bbd719d7ebdddaf621404857d26b58d89e43e63dea8677b28fad2b343633d

Observation 1a3b1c00-53da-4143-bb39-57c6bb7fb7a2 · outbound

This paper cites Mean first exit times of.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Mean first exit times of

Reference 8

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source=arxiv_source observed=2026-08-01T13:21:43.520021Z digest=sha256:5b7568d924ae1927c2f31083fb94327eff855e09dfb37e8f641510c5865c6c86

Observation 618b0060-476b-488d-abad-8afc2e84efcf · outbound

This paper cites 2012 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2012 , publisher=

Reference 9

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source=arxiv_source observed=2026-08-01T13:21:43.630952Z digest=sha256:12fddd1fbe6755487c0324ef71021c59f6f74581a82f4a8e4f8c8e1864ab0abe

Observation adb85cfc-157a-4b5f-bfd2-c7257ec1e99a · outbound

This paper cites Challenges in training.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Challenges in training

Reference 10

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source=arxiv_source observed=2026-08-01T13:21:43.754545Z digest=sha256:bf3f1c424f4729505a11a9a467aca9043447a186c3d983b75bdfa9b7cf1b0a54

Observation da2b0203-4198-4584-b41a-93f933e49bfc · outbound

This paper cites Handbook of Numerical Analysis , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Handbook of Numerical Analysis , volume=

Reference 11

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source=arxiv_source observed=2026-08-01T13:21:43.908463Z digest=sha256:d3812cfd2906549430fb2565c6b6be1aba05995f44a717d3627c9dad046116af

Observation 9edca90a-5f34-4e4c-970e-2472bb614449 · outbound

This paper cites On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type

Reference 12

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source=arxiv_source observed=2026-08-01T13:21:44.054426Z digest=sha256:23978ee182ee3c5ce8e53b5cb91dfd7ea39f6de4f7fe484a10ce7bb52c522a9c

Observation 134de6bb-043a-4b92-9e79-f3311bdc32f9 · outbound

This paper cites Communications in Computational Physics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Communications in Computational Physics , volume=

Reference 13

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source=arxiv_source observed=2026-08-01T13:21:44.197362Z digest=sha256:6517d5f27cc4257b54ace7bfa05e1aa47eebfe896621b8f4a466822b36585f82

Observation 5f9ef1ba-bc13-4a9e-8762-161ad42be4db · outbound

This paper cites A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic

Reference 14

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Observation 039c92b5-8918-4533-9ee1-ed8fb89a1df6 · outbound

This paper cites Generalization of.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Generalization of

Reference 15

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source=arxiv_source observed=2026-08-01T13:21:44.471156Z digest=sha256:9da8772bd1cef3fefa34108179d90612c3d4481fd3a607bff3a91c3b316acf8b

Observation b3c3e420-719d-41b8-ad2f-9d9a35185311 · outbound

This paper cites Error estimates of residual minimization using neural networks for linear.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Error estimates of residual minimization using neural networks for linear

Reference 16

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Observation 47663615-743a-42fd-9820-9a40bcff70a7 · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 17

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Observation 95a0ca67-675d-43db-996c-450d80e73e2a · outbound

This paper cites Physical Review Research , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Physical Review Research , volume=

Reference 18

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source=arxiv_source observed=2026-08-01T13:21:44.750888Z digest=sha256:46c5046a39c587b064f1223af21ce8b28f85e4f3c0cbff4214c6eeb97d596744

Observation 4866718c-8b6b-418e-93c1-9044fe00c8a0 · outbound

This paper cites Physical Review E—Statistical, Nonlinear, and Soft Matter Physics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Physical Review E—Statistical, Nonlinear, and Soft Matter Physics , volume=

Reference 19

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source=arxiv_source observed=2026-08-01T13:21:44.840594Z digest=sha256:49819cc21a91330f8e7ed44c79f2e3602639f1b2e707a279e66faf40cfcfb27a

Observation b736833d-d822-4761-9d7d-812c5d509c29 · outbound

This paper cites Physical Review , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Physical Review , volume=

Reference 20

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Observation 25751d99-491c-48d0-8803-3391881a26e4 · outbound

This paper cites Applied Mathematics and Mechanics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Applied Mathematics and Mechanics , volume=

Reference 21

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source=arxiv_source observed=2026-08-01T13:21:44.958534Z digest=sha256:1b5eccf3aebeb263e0da9c70ce21e2db6f9785ed5577ae384206a2c7cf874d2f

Observation 5335a2a4-a0c4-48d4-8fce-c3ae03a7f6c4 · outbound

This paper cites Stochastic Analysis and Applications , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Stochastic Analysis and Applications , volume=

Reference 22

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source=arxiv_source observed=2026-08-01T13:21:44.961276Z digest=sha256:e84b8daf9989b0286f79a9fc826ba26b93798a16f4f903e83ef4d24181231573

Observation d2137a0d-6468-4136-b7b2-a8ce26185c29 · outbound

This paper cites 2019 Winter Simulation Conference (WSC) , pages=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2019 Winter Simulation Conference (WSC) , pages=

Reference 23

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source=arxiv_source observed=2026-08-01T13:21:45.040586Z digest=sha256:9d37a89874a3c7209eacb3a90ab62eeea929512251705c89cf2ce6d1cfce34c0

Observation 5911e6e3-5ac3-480a-9180-fc44cf76b2a3 · outbound

This paper cites Performance Evaluation , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Performance Evaluation , volume=

Reference 24

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source=arxiv_source observed=2026-08-01T13:21:45.125758Z digest=sha256:95e48102d281acf1d695cfb20cf4170d2cdc1269f7d94f8c1a661924522a16bd

Observation 0102655f-8f7d-4428-8e4c-a4c8ceeddd75 · outbound

This paper cites Journal of Statistical Physics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Statistical Physics , volume=

Reference 25

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source=arxiv_source observed=2026-08-01T13:21:45.226339Z digest=sha256:2613813ca40676c45ca29f4715b7607e065f65497ebcbbac2af2da08f66af290

Observation d337fd4b-ee90-471b-9037-c177376eefd8 · outbound

This paper cites Journal of Scientific Computing , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Scientific Computing , volume=

Reference 26

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source=arxiv_source observed=2026-08-01T13:21:45.333196Z digest=sha256:b0c394061d6be4ce781e8a1f4475f3417d38ce18f660823a9efb1a9bfbb9bc9e

Observation 1720c017-6431-4c44-8017-ace5aceaebe7 · outbound

This paper cites 2023 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2023 , publisher=

Reference 27

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source=arxiv_source observed=2026-08-01T13:21:45.444874Z digest=sha256:6b3342233c935dd86f76b5ed54e30a45afb01ebe6db10654a7c42bb92ec3f52a

Observation 780a1c80-f6d7-4250-aa4a-a2e5a99c7b91 · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 28

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source=arxiv_source observed=2026-08-01T13:21:45.554195Z digest=sha256:80e67c5307bb4ffa200ed49dfa3a2226cb41562cb5e8dd60ac19ab5b172bc50b

Observation 1e47ffec-6ca6-4a76-b909-a552f25423e0 · outbound

This paper cites Convergence and error control of consistent.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Convergence and error control of consistent

Reference 29

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Observation 20d9de24-fe26-45d5-93ad-1c6583cc5df3 · outbound

This paper cites , title =.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation , title =

Reference 30

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source=arxiv_source observed=2026-08-01T13:21:45.759803Z digest=sha256:29ff609cfc051c34650ff8b38e731552521f6a7f66da42d669cf0184d4b456b9

Observation f51e7d9d-c10b-42e9-a16d-3419dbb56926 · outbound

This paper cites , title =.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation , title =

Reference 31

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source=arxiv_source observed=2026-08-01T13:21:45.907850Z digest=sha256:8fa80ceeb38fb8503db7d8a63bc7517e7ca8c729c3102c2d877c12fb8144a6da

Observation f2d868d7-413b-435a-b502-13f939d19775 · outbound

This paper cites BO-SA-PINNs: Self-adaptive physics-informed neural networks based on Bayesian optimization for automatically designing PDE solvers.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation BO-SA-PINNs: Self-adaptive physics-informed neural networks based on Bayesian optimization for automatically designing PDE solvers

Reference 32

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source=arxiv_source observed=2026-08-01T13:21:46.018331Z digest=sha256:ea9ad6ae45298904676b0803906263b4b107d79bad831a9958c8fdba1fcbf35b

Observation 223e3b51-076c-4e2f-86e5-e959e305cc31 · outbound

This paper cites Bernoulli , volume =.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Bernoulli , volume =

Reference 33

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source=arxiv_source observed=2026-08-01T13:21:46.182386Z digest=sha256:165f329de882cb17808c70f0c237f4b076eeefe0ad0e9865b35ce1135d0bf834

Observation c2143f87-cfdb-41e0-ac40-e77e3306c64b · outbound

This paper cites Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition , pages=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition , pages=

Reference 34

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source=arxiv_source observed=2026-08-01T13:21:46.343073Z digest=sha256:122299c34396d752bd55076706d3a233affc88ee2ebc1fba37d3b18db9743ebb

Observation 9a7e2377-1e85-44db-824c-fd2bb4af340e · outbound

This paper cites 1991 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 1991 , publisher=

Reference 35

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source=arxiv_source observed=2026-08-01T13:21:46.455393Z digest=sha256:0e2312acdd3ea54be4f3470f5ca68f7e61e3f8a4776410a85d7b2d5cc860bfc3

Observation d9555e9a-6b4d-4a6f-991a-77a2db395474 · outbound

This paper cites Complexity of computations with.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Complexity of computations with

Reference 36

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Observation dcd17fe8-de88-4adc-a9e2-19eb110e92a2 · outbound

This paper cites Polynomial bounds for.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Polynomial bounds for

Reference 37

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source=arxiv_source observed=2026-08-01T13:21:46.721261Z digest=sha256:cb291262e9703928953866337d50255b0507365e4453306ce4d5203a8841d3e0

Observation 793fa31a-6d7c-4e56-9ffd-fbca9bfac90f · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 38

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no resolver link, observed 2026-08-01T13:21:46.889612Z

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source=arxiv_source observed=2026-08-01T13:21:46.889612Z digest=sha256:231323a85bcfc01ccb097f5bdecfc8cc2b8a390dd4971303118d84eafd54ae0f

Observation 5b4f4405-0966-44c0-a0a8-8f068536d93f · outbound

This paper cites 2025 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2025 , publisher=

Reference 39

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no resolver link, observed 2026-08-01T13:21:47.043493Z

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source=arxiv_source observed=2026-08-01T13:21:47.043493Z digest=sha256:0a8383e0e10335b88750263733e363f4e13779fc6bfaa155aae1855bbe8e31f6

Observation 6fea3c05-5c5a-4ba6-a52c-564ee8012e12 · outbound

This paper cites 1999 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 1999 , publisher=

Reference 40

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no resolver link, observed 2026-08-01T13:21:47.201688Z

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source=arxiv_source observed=2026-08-01T13:21:47.201688Z digest=sha256:75d8d75c890a2aafc8b9821db49b3978ddafc3371b97cc7dc1eca6b7b1a0e1ea

Observation e7c81c97-293d-4aa6-a247-5758d0ce9c1c · outbound

This paper cites 2013 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2013 , publisher=

Reference 41

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no resolver link, observed 2026-08-01T13:21:47.309831Z

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source=arxiv_source observed=2026-08-01T13:21:47.309831Z digest=sha256:25155bb69a159bea7b19e5ff4244afeb19b6bfd8b78dd8d29bf6b60edc50d09b

Observation a72852fd-5c0c-4637-821d-ab8d2ecd0ac2 · outbound

This paper cites High dimensional probability II , pages=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation High dimensional probability II , pages=

Reference 42

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source=arxiv_source observed=2026-08-01T13:21:47.464426Z digest=sha256:dc512758334749b31df487c545d30163bd575a16011be776546bf589238d4792

Observation c7de3a5c-7ea9-4f0d-b03e-2ce1f65b9316 · outbound

This paper cites The Annals of Statistics , pages=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation The Annals of Statistics , pages=

Reference 43

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no resolver link, observed 2026-08-01T13:21:47.510286Z

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source=arxiv_source observed=2026-08-01T13:21:47.510286Z digest=sha256:a8fab9af425ddb186eeadd8e7397bce2b2f7b087734a7407ebd9bf3c80164fc1

Observation 88314e17-af78-49bc-afaa-c155540e1623 · outbound

This paper cites The Annals of Statistics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation The Annals of Statistics , volume=

Reference 44

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no resolver link, observed 2026-08-01T13:21:47.515548Z

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source=arxiv_source observed=2026-08-01T13:21:47.515548Z digest=sha256:0e85584f7b0ced6c03715f1b2696d9e504d32f1602403f4f6c216970c6256157

Observation b88c2752-2918-4101-b014-3def9448e3cc · outbound

This paper cites Nearly optimal.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Nearly optimal

Reference 45

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no resolver link, observed 2026-08-01T13:21:47.617579Z

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source=arxiv_source observed=2026-08-01T13:21:47.617579Z digest=sha256:f833f18bb99a25a3a8443ce8b6c8402fb481be99062f14de9da819268263abc2

Observation f355a858-cec5-4827-b24b-82eaed13f637 · outbound

This paper cites Nearly-tight.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Nearly-tight

Reference 46

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no resolver link, observed 2026-08-01T13:21:47.773879Z

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source=arxiv_source observed=2026-08-01T13:21:47.773879Z digest=sha256:716c8d117c7671d3024e37f17df3eca7d26e7b4c26eb4ae09bb767b0786b8a70

Observation 84a7ece1-0450-4ada-b06d-fe97cc91c54f · outbound

This paper cites 2013 , month =.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2013 , month =

Reference 47

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no resolver link, observed 2026-08-01T13:21:47.880531Z

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source=arxiv_source observed=2026-08-01T13:21:47.880531Z digest=sha256:97fadc655d9dd265649184697f6206264510ddaedf96930877dd9582b8c8a444

Observation 18284f18-b4cd-4b78-b9ab-4426e5553819 · outbound

This paper cites Proceedings of the National Academy of Sciences , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Proceedings of the National Academy of Sciences , volume=

Reference 48

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no resolver link, observed 2026-08-01T13:21:47.885528Z

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source=arxiv_source observed=2026-08-01T13:21:47.885528Z digest=sha256:7862a8dfc7545c47d2f7344db2b092e1bac94c70da27027480e521aaad23e0a8

Observation ed7c338a-f3e5-4010-afe6-f75d3c40f69c · outbound

This paper cites Analysis and Applications.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Analysis and Applications

Reference 49

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no resolver link, observed 2026-08-01T13:21:47.939009Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T13:21:47.939009Z digest=sha256:9e017f893184c26d543b5351a3cafed34fd43f7e07776484e4a26df0c72dd459

Observation 4dc0de74-b205-47c0-b5f4-862cc936e0c6 · outbound

This paper cites 2009 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2009 , publisher=

Reference 50

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no resolver link, observed 2026-08-01T13:21:47.995666Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T13:21:47.995666Z digest=sha256:6594e7daf565acd57b8fa39ad2e5de27d760199eb5ec6c78d9ee38f168e970a2

Observation e4155cca-dd14-4a56-9b68-a5a4dad7e012 · outbound

This paper cites Journal of the Royal Statistical Society: Series A (General) , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of the Royal Statistical Society: Series A (General) , volume=

Reference 51

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no resolver link, observed 2026-08-01T13:21:48.056784Z

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source=arxiv_source observed=2026-08-01T13:21:48.056784Z digest=sha256:5d827f8c845835573dc57d48e63c7f25d00656fbf439d7972b69c61cd51775a8

Observation 062ba64b-20d4-4aaa-80ec-d014c4929614 · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 52

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parse uncertain
no resolver link, observed 2026-08-01T13:21:48.091384Z

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source=arxiv_source observed=2026-08-01T13:21:48.091384Z digest=sha256:d0fd06e8c981a1094ac0bd08caeb4faeac842e5fb32732bb3f684a1f6e6100bd

Observation ba71b54d-7b00-47bd-aa4d-495054517b44 · outbound

This paper cites 2014 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2014 , publisher=

Reference 53

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no resolver link, observed 2026-08-01T13:21:48.107142Z

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source=arxiv_source observed=2026-08-01T13:21:48.107142Z digest=sha256:ff8d483cbf89a73bbcc88876f1bad5cc90f226181243d4edd028d329e391f5f3

Observation c5bc49b5-37b1-4d7d-86db-8fb86eaffb3b · outbound

This paper cites Comptes Rendus.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Comptes Rendus

Reference 54

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no resolver link, observed 2026-08-01T13:21:48.189442Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T13:21:48.189442Z digest=sha256:3ac2f17e7eadba38dc2ca9bd7184604d290efe8b6863b04a86bcd35c54fadef0

Observation 68c6842a-973d-41c8-947a-e37a29b134fd · outbound

This paper cites Fast and accurate.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Fast and accurate

Reference 55

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no resolver link, observed 2026-08-01T13:21:48.212033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.212033Z digest=sha256:9257ca6d8589dde2979d0e49ec7ed99dcdd490b8ed2de695825b9874310dda7e

Observation 9c8d8962-d80d-4a4e-96cc-350aad78d392 · outbound

This paper cites The estimates of the mean first exit time of a bistable system excited by.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation The estimates of the mean first exit time of a bistable system excited by

Reference 56

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unresolved
no resolver link, observed 2026-08-01T13:21:48.249476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.249476Z digest=sha256:07f336eed5da95eb848e7209f4a9a8c2b607b1b971dc36cf7db13a624b2ae45b

Observation b1f29cb5-cc8d-424b-ae63-52f1bf63c64f · outbound

This paper cites Journal of Mathematical Psychology , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Mathematical Psychology , volume=

Reference 57

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no resolver link, observed 2026-08-01T13:21:48.259448Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T13:21:48.259448Z digest=sha256:a13ab4cbf1e27ad7bb05af93395b945bf6df425b5f2a82a9e078dc0a4663fc33

Observation b2dafe17-8c48-4fa0-8dc2-f5565d9b2979 · outbound

This paper cites Efficient numerical approximation of a non-regular.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Efficient numerical approximation of a non-regular

Reference 58

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no resolver link, observed 2026-08-01T13:21:48.263213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.263213Z digest=sha256:68bc346c468c2009ac0df7673dc6a9fc53d7a10bba4121f68b1ebc0d48620667

Observation ca52bf09-8d73-4ee8-9d40-0edf07e24949 · outbound

This paper cites Physical Review E , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Physical Review E , volume=

Reference 59

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no resolver link, observed 2026-08-01T13:21:48.268915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.268915Z digest=sha256:fd44d861837bffd51b9ba16ff1a38dddc14de1c2e1fecc3f971f147998ed0fdd

Observation 8146699d-5eb1-4bc4-bf24-f793cc54d818 · outbound

This paper cites New Journal of Physics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation New Journal of Physics , volume=

Reference 60

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no resolver link, observed 2026-08-01T13:21:48.280370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.280370Z digest=sha256:6137660a8ea54d11716a9c66b5e685b4e51374ac0511de9821f2fb0a046613e4

Observation e5738461-7776-46cd-8f0f-5913b4415cff · outbound

This paper cites Communications in Nonlinear Science and Numerical Simulation , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Communications in Nonlinear Science and Numerical Simulation , volume=

Reference 61

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no resolver link, observed 2026-08-01T13:21:48.295990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.295990Z digest=sha256:79641ef380a03f1e1cc843724b97dde23c079a4ab87109584943b71cd5585188

Observation 33eb5c8e-796d-456f-89e5-cfe47d3d944e · outbound

This paper cites Journal of Physics A: Mathematical and Theoretical , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Physics A: Mathematical and Theoretical , volume=

Reference 62

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no resolver link, observed 2026-08-01T13:21:48.299082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.299082Z digest=sha256:1d8ff2c186c7907fc7f046a2ab4c27c483713bca4e61f5d92f0e4440a8784d64

Observation 9ab0b5c7-3037-4de6-ae3f-1b5897443f0a · outbound

This paper cites 2022 , url =.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2022 , url =

Reference 63

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no resolver link, observed 2026-08-01T13:21:48.301717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.301717Z digest=sha256:1e231fb4bb992d571cecd3704ed2dad64f4b2cefd6c47fe327eb484c642833b9

Observation bce76e03-6963-4a8a-8b02-333e14b1c96d · outbound

This paper cites 2022 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2022 , publisher=

Reference 64

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no resolver link, observed 2026-08-01T13:21:48.304118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.304118Z digest=sha256:7b94cfd48d2b99946608fab5a60ca556acff25e5145d3d9cb6ce3da74c05c7e1

Observation e35a050a-d954-44e1-868f-b6ed46cc22e1 · outbound

This paper cites Journal of Computational physics , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Computational physics , volume=

Reference 65

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no resolver link, observed 2026-08-01T13:21:48.306665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.306665Z digest=sha256:c9baefa1f890c9e3fcc0212971f9a602b3e4c30af4301c48acfc17517769b2b5

Observation aac8b00d-8ffe-45a4-a686-da28f159d230 · outbound

This paper cites Estimates on the generalization error of physics-informed neural networks for approximating.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Estimates on the generalization error of physics-informed neural networks for approximating

Reference 66

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no resolver link, observed 2026-08-01T13:21:48.309300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.309300Z digest=sha256:e3226b02b6aac9b63ec41146c425cb5c00ca4ae6242b08573fcd96f62820cc48

Observation 8f4e178c-4da8-4eaa-8c52-2d834d4fde4c · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 67

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no resolver link, observed 2026-08-01T13:21:48.311678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.311678Z digest=sha256:205e7c27cba5f585b968f6e26f6d9c43d020a734294662b2d010b4e1ba5c5c4c

Observation 361f1d6e-6423-4de7-872a-0caedd44ef3a · outbound

This paper cites A priori generalization analysis of the deep.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation A priori generalization analysis of the deep

Reference 68

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no resolver link, observed 2026-08-01T13:21:48.314474Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.314474Z digest=sha256:a9becedb517909458ef10f82b51fe9628880416938d66c940840607d2a8ae73b

Observation e631831c-d0cb-4b71-b85d-3454fbe9cef3 · outbound

This paper cites International Conference on Learning Representations , year=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation International Conference on Learning Representations , year=

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no resolver link, observed 2026-08-01T13:21:48.316835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.316835Z digest=sha256:a5bdf1ad1d28aa322e006458a10a4346ba609b7e05acd2338367f16068f278c9

Observation 1e3c290e-0c9d-4079-b80c-e06fbd6e3778 · outbound

This paper cites Scientific reports , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Scientific reports , volume=

Reference 70

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no resolver link, observed 2026-08-01T13:21:48.319426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.319426Z digest=sha256:3bf21eb30553cf24cf1fff7f6266920026d5808b98a603a9f307bf3ea4c4e158

Observation 8d211b83-fad1-45f7-b2d4-adabf41cf04a · outbound

This paper cites Learning nonlinear operators via.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Learning nonlinear operators via

Reference 71

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no resolver link, observed 2026-08-01T13:21:48.322340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.322340Z digest=sha256:50b41ae4bcda1b70c04880f3d54046a2c87251a49d2545f0a5e4977a32420bc1

Observation 8fd545d2-ef7f-49b9-bc5c-e4949c868de5 · outbound

This paper cites Handbook of financial time series , pages=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Handbook of financial time series , pages=

Reference 72

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no resolver link, observed 2026-08-01T13:21:48.324474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.324474Z digest=sha256:9976edcbadab4764cfc1992b644606d3fff3a51db6e203e83ec58db4905928fb

Observation b3d4c0ce-4073-44cd-959b-bc1e8098de1d · outbound

This paper cites 2003 , publisher=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation 2003 , publisher=

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no resolver link, observed 2026-08-01T13:21:48.326802Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.326802Z digest=sha256:e4c6538d95bc4ce31febb1bf5a97ed7e74b104104f85ed81bd23540876c84726

Observation 9e1a39cd-201c-499d-a6fa-5fd75189a24a · outbound

This paper cites Machine Learning For Elliptic.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Machine Learning For Elliptic

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no resolver link, observed 2026-08-01T13:21:48.329609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T13:21:48.329609Z digest=sha256:66863db4a3fe827d7315ce699e3aa50a3681d71acfb19e9293f528bb8317cac4

Observation 1d808695-036d-43c1-9117-8654751724c2 · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 75

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source=arxiv_source observed=2026-08-01T13:21:48.332333Z digest=sha256:5b133b4223d9f0036538036ced5acb2ad5ae092c527c32e2ce7fcbb3351a2fab

Observation f86ea8ab-5b78-427d-a4d5-e63dc3c75f66 · outbound

This paper cites Computer-Aided Civil and Infrastructure Engineering , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Computer-Aided Civil and Infrastructure Engineering , volume=

Reference 76

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source=arxiv_source observed=2026-08-01T13:21:48.335154Z digest=sha256:ec0cbf658c8f5fc9f9d1c0dc278e97c55e72c34bffa626028fbfeadd48459955

Observation a3dcf27a-e165-4154-a7aa-c7c588802227 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Computer Methods in Applied Mechanics and Engineering , volume=

Reference 77

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source=arxiv_source observed=2026-08-01T13:21:48.337677Z digest=sha256:e57daf1cfa36cc8cacbb06864d7d72a72ffe388b53dbcd1a9fbf270874220229

Observation 301aef58-f22a-47a3-bad9-a1eea3ae8f4c · outbound

This paper cites Failure-informed adaptive sampling for.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Failure-informed adaptive sampling for

Reference 78

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source=arxiv_source observed=2026-08-01T13:21:48.339999Z digest=sha256:f3df24b9ff472da77a00ae6d632ea17185d655887cd54941c8abec1aceac05cb

Observation 44b9e395-c73f-4cee-b6ef-8d399509580d · outbound

This paper cites Journal of Machine Learning Research , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Machine Learning Research , volume=

Reference 79

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no resolver link, observed 2026-08-01T13:21:48.342419Z

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source=arxiv_source observed=2026-08-01T13:21:48.342419Z digest=sha256:7bd86f66534710f8e6dced9f6969148f5db8e198fd0eb780a7a1c122ef777e68

Observation 1779469d-16c1-4d49-bb03-1ff7289186fa · outbound

This paper cites Neural Networks , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Neural Networks , volume=

Reference 80

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no resolver link, observed 2026-08-01T13:21:48.344615Z

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source=arxiv_source observed=2026-08-01T13:21:48.344615Z digest=sha256:dc9a5a75668aed46d947b019a399b89e2be1f6587a8d171011478ee2ed4eb585

Observation c72e2927-fec8-4816-bf7d-1d9d2294bdd7 · outbound

This paper cites Journal of Machine Learning Research , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Machine Learning Research , volume=

Reference 81

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no resolver link, observed 2026-08-01T13:21:48.347060Z

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source=arxiv_source observed=2026-08-01T13:21:48.347060Z digest=sha256:8577563618f18d8f474b125202903f5b0f04e911c2398919ee2c2d1c346cce92

Observation f9e96bc1-57d2-4c56-930c-aae36049ed05 · outbound

This paper cites Approximation of nonlinear functionals using deep.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Approximation of nonlinear functionals using deep

Reference 82

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no resolver link, observed 2026-08-01T13:21:48.349777Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T13:21:48.349777Z digest=sha256:1bdbba8b1417ce4d918681e42e11cb1bd22e0bb39f1a02d212650ab81473b9ca

Observation 7bbfba49-7ee2-42b7-b12c-54a188bf7224 · outbound

This paper cites Approximation of RKHS Functionals by Neural Networks.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Approximation of RKHS Functionals by Neural Networks

Reference 83

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no resolver link, observed 2026-08-01T13:21:48.351958Z

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source=arxiv_source observed=2026-08-01T13:21:48.351958Z digest=sha256:d0615c9bd6c582a021b4266405270bf8da6f0a49c198bcded36622fb8bb5288c

Observation 698b2e9c-f4b9-434f-b505-fc2ed5f5399a · outbound

This paper cites Applied and Computational Harmonic Analysis , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Applied and Computational Harmonic Analysis , volume=

Reference 84

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no resolver link, observed 2026-08-01T13:21:48.354948Z

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source=arxiv_source observed=2026-08-01T13:21:48.354948Z digest=sha256:36a389c1df12ba7eff2376865488517d2a52496c260eb0bb00f438115c2b0f54

Observation 47eb043f-f017-493d-96b8-6cbc4a147525 · outbound

This paper cites Journal of Machine Learning , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Machine Learning , volume=

Reference 85

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no resolver link, observed 2026-08-01T13:21:48.357458Z

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source=arxiv_source observed=2026-08-01T13:21:48.357458Z digest=sha256:6df6c0c084fa80f4db63955d0c9d2a5bd86b8335d8d4bca8fc77673862c911d1

Observation 67a0c6f0-199f-4664-bbff-2ecdb944dc21 · outbound

This paper cites Deep Operator Learning Lessens the Curse of Dimensionality for.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Deep Operator Learning Lessens the Curse of Dimensionality for

Reference 86

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no resolver link, observed 2026-08-01T13:21:48.360117Z

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source=arxiv_source observed=2026-08-01T13:21:48.360117Z digest=sha256:cca6a3ba9e0a5323f05c9578fc3d7016b5a938310b273bf20410d8f1a0c2d97b

Observation c5cfec1c-0cf2-4ea2-b8ae-84f6e03887a5 · outbound

This paper cites Journal of Machine Learning Research , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Machine Learning Research , volume=

Reference 87

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no resolver link, observed 2026-08-01T13:21:48.363168Z

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source=arxiv_source observed=2026-08-01T13:21:48.363168Z digest=sha256:945108dbc24de00c3c2bb409406b89e87fee67e6b002cbd81f7264d6de0026db

Observation fc82e2e4-5ca3-4a12-bb92-399b275c7a6e · outbound

This paper cites Journal of Physics A: Mathematical and Theoretical , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Journal of Physics A: Mathematical and Theoretical , volume=

Reference 88

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no resolver link, observed 2026-08-01T13:21:48.366065Z

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source=arxiv_source observed=2026-08-01T13:21:48.366065Z digest=sha256:8d13189fe34e29fc5f374a15e007f0e71c58fcff54ff511dbf1ef0f93e7d97fb

Observation cc036851-5720-4267-b8c4-c7253ac50432 · outbound

This paper cites Neurocomputing , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Neurocomputing , volume=

Reference 89

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no resolver link, observed 2026-08-01T13:21:48.368388Z

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source=arxiv_source observed=2026-08-01T13:21:48.368388Z digest=sha256:825ac2422c983dd602a805e4173897b0453e654363fee5bedfcdcd67c5078d00

Observation 4f1ab6a8-1f4f-4606-8ee8-b372ce67b4c9 · outbound

This paper cites an unresolved cited work.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Unresolved cited work

Reference 90

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no resolver link, observed 2026-08-01T13:21:48.370773Z

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source=arxiv_source observed=2026-08-01T13:21:48.370773Z digest=sha256:6fea75c577e85d627710f5969c5ea0e20842f272a7c770fbb32dc52eb0ac277e

Observation 5ba72ea0-bf70-47e2-b869-72ba7e81376e · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Computer Methods in Applied Mechanics and Engineering , volume=

Reference 91

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no resolver link, observed 2026-08-01T13:21:48.373010Z

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source=arxiv_source observed=2026-08-01T13:21:48.373010Z digest=sha256:d87a701cdeb31888112e7325339afc05fa28dd943f4a0031aae24d840664037c

Observation f5b1be71-89f4-4d4a-98a1-c630efc14c49 · outbound

This paper cites Error estimates for the deep.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Error estimates for the deep

Reference 92

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no resolver link, observed 2026-08-01T13:21:48.375899Z

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source=arxiv_source observed=2026-08-01T13:21:48.375899Z digest=sha256:282eb7e2eb31d8f005d345a9cf7b71f4d6b559be5b6be964e475e73e2cd72a8c

Observation 6a20c5f1-a5d0-4558-b4ed-098a378b73b5 · outbound

This paper cites I , author=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation I , author=

Reference 93

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no resolver link, observed 2026-08-01T13:21:48.378171Z

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source=arxiv_source observed=2026-08-01T13:21:48.378171Z digest=sha256:cf648f69694210c3add4c67f6cfcc6f7ff222fe102b52c7dda3e62b3f86b08d1

Observation c85be414-c16e-4c0d-a955-e5f66e3878c4 · outbound

This paper cites On the numerical evaluation of fractional.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation On the numerical evaluation of fractional

Reference 94

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source=arxiv_source observed=2026-08-01T13:21:48.380420Z digest=sha256:ccff5f70627919153dd5abb5bda9b7ffd84f2165128c10fff7348867be3899a4

Observation 85e779f0-fe24-4a62-ba10-c2d662a1bb21 · outbound

This paper cites SIAM Journal on Numerical Analysis , volume=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation SIAM Journal on Numerical Analysis , volume=

Reference 95

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source=arxiv_source observed=2026-08-01T13:21:48.382784Z digest=sha256:1ca696f84ee30b6721023406999aa2cbbc7369369231c289eae605d129252202

Observation b926b6d0-9568-427d-a86b-c530ee71f5bb · outbound

This paper cites , author=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation , author=

Reference 96

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no resolver link, observed 2026-08-01T13:21:48.385487Z

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source=arxiv_source observed=2026-08-01T13:21:48.385487Z digest=sha256:3dedd7965564b37a93f7271d7cff7b210ceee4e0243a11b2835a4fae60631c8f

Observation 65ea1f05-7c49-45ba-bd48-4eebf610c7db · outbound

This paper cites , author=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation , author=

Reference 97

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no resolver link, observed 2026-08-01T13:21:48.388103Z

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source=arxiv_source observed=2026-08-01T13:21:48.388103Z digest=sha256:5f991dc7313b912e7f86978e9aee96d71579724a5d1bec26e3fd524e66a4bda5

Observation 695ce060-913a-4ea2-abf5-67a0f5d0ec02 · outbound

This paper cites Expressivity and Approximation Properties of Deep Neural Networks with.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Expressivity and Approximation Properties of Deep Neural Networks with

Reference 98

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source=arxiv_source observed=2026-08-01T13:21:48.390640Z digest=sha256:11e0661659e862cc35dbd9a532ddde061785c28339d18096f4dcfb7a13d6ab44

Observation 1491dc0b-1a0e-4383-8267-4d7bd5e62ffa · outbound

This paper cites Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units , volume =.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units , volume =

Reference 99

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source=arxiv_source observed=2026-08-01T13:21:48.392825Z digest=sha256:2ad930f314d2900e998b158ca27651d2910f5c0896368f6ace14004cf7fa4c6f

Observation dbc04462-cc17-420b-81e3-9aa8779d02a6 · outbound

This paper cites SAM Research Report , author=.

Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation SAM Research Report , author=

Reference 100

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no resolver link, observed 2026-08-01T13:21:48.395163Z

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source=arxiv_source observed=2026-08-01T13:21:48.395163Z digest=sha256:a38292d5b96b9cc17fbebfed72dbfd68a836c7ca72b3e87e76e7b3266e43a0ce

Pith citing papers

No inbound Pith citation observations are available.