Paper Citation Record · LEDGER

Sequential data assimilation for PDEs using shape-morphing solutions

As of 13 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2411.16593.

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

pith.paper-citation-record.v1
2411.16593 v2

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Outbound references

Observation ba250e2c-8cb3-4b41-89ac-37f2940bcdbc · outbound

This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 1

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This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 2

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 3

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This paper cites Bruna, B.

Sequential data assimilation for PDEs using shape-morphing solutions Bruna, B

Reference 4

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This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 5

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Observation 177a5433-902a-43dd-9757-99ae4ab2eee1 · outbound

This paper cites A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks.

Sequential data assimilation for PDEs using shape-morphing solutions A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks

Reference 6

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This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 7

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This paper cites Berman, B.

Sequential data assimilation for PDEs using shape-morphing solutions Berman, B

Reference 8

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Observation a5c3096b-2228-4902-a95e-585aaa19d506 · outbound

This paper cites Sukumar, A.

Sequential data assimilation for PDEs using shape-morphing solutions Sukumar, A

Reference 9

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 11

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Observation 879a59cb-e0b5-46f0-a82e-d95efd1f6516 · outbound

This paper cites Schwerdtner, P.

Sequential data assimilation for PDEs using shape-morphing solutions Schwerdtner, P

Reference 12

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 13

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Observation 628f723e-3cf8-42fc-8779-0bcafaee8d55 · outbound

This paper cites Multi evolutional deep neural networks (Multi-EDNN).

Sequential data assimilation for PDEs using shape-morphing solutions Multi evolutional deep neural networks (Multi-EDNN)

Reference 14

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 15

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 17

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 18

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Observation 93303403-82ac-482d-ad1f-9bc4ad828fd3 · outbound

This paper cites Andersson, J.

Sequential data assimilation for PDEs using shape-morphing solutions Andersson, J

Reference 19

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Observation 2062a004-ede2-44ca-83c7-a046015ea86a · outbound

This paper cites Courtier, E.

Sequential data assimilation for PDEs using shape-morphing solutions Courtier, E

Reference 20

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Observation ec76f7eb-c5a4-4892-938d-67dee18f2977 · outbound

This paper cites Rabier, A.

Sequential data assimilation for PDEs using shape-morphing solutions Rabier, A

Reference 21

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

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Observation ea6611f3-ea06-40ea-9e31-83cb354c0e03 · outbound

This paper cites Reich, C.

Sequential data assimilation for PDEs using shape-morphing solutions Reich, C

Reference 23

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Observation 3f3fd693-e721-4e91-95cd-b3e5c685ac7d · outbound

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 24

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Observation 2b90f933-6ab0-429b-9b6e-69bcb69c0fdb · outbound

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Sequential data assimilation for PDEs using shape-morphing solutions Azouani, E

Reference 25

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Observation 3b2b54a8-de1f-425c-b48d-b314d2ddc1ec · outbound

This paper cites Tr´ emolet, Accounting for an imperfect model in 4D-Var, Quarterly Journal of the Royal Meteorological Society 132 (621) (2006) 2483–2504.

Sequential data assimilation for PDEs using shape-morphing solutions Tr´ emolet, Accounting for an imperfect model in 4D-Var, Quarterly Journal of the Royal Meteorological Society 132 (621) (2006) 2483–2504

Reference 26

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This paper cites Anderson, M.

Sequential data assimilation for PDEs using shape-morphing solutions Anderson, M

Reference 27

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Observation 3fb6a7d9-5be4-4015-9832-2c52a91a866e · outbound

This paper cites Karniadakis, I.

Sequential data assimilation for PDEs using shape-morphing solutions Karniadakis, I

Reference 28

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Observation 73b156bb-74ab-430d-b3b3-b9bcf1cb2463 · outbound

This paper cites Kovachki, Z.

Sequential data assimilation for PDEs using shape-morphing solutions Kovachki, Z

Reference 29

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Observation 080f1dea-38b9-4ace-a932-839957fa654f · outbound

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Reference 32

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Reference 33

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Observation c826648b-318c-47e7-b574-e1d1bbe120cb · outbound

This paper cites Rieder, On the regularization of nonlinear ill-posed problems via inexact Newton iterations, Inverse Problems 15 (1) (1999) 309.

Sequential data assimilation for PDEs using shape-morphing solutions Rieder, On the regularization of nonlinear ill-posed problems via inexact Newton iterations, Inverse Problems 15 (1) (1999) 309

Reference 34

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

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Observation d3eb3546-9195-451f-8997-4ee4c94d1b63 · outbound

This paper cites Lipschitz regularity of deep neural networks: analysis and efficient estimation.

Sequential data assimilation for PDEs using shape-morphing solutions Lipschitz regularity of deep neural networks: analysis and efficient estimation

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Observation 4ce222a7-227a-41c3-8070-7676ce2294a0 · outbound

This paper cites Cousins, T.

Sequential data assimilation for PDEs using shape-morphing solutions Cousins, T

Reference 37

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Observation 456c663c-d230-4123-a5ed-34d946fb75ed · outbound

This paper cites Farazmand, T.

Sequential data assimilation for PDEs using shape-morphing solutions Farazmand, T

Reference 38

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 41

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Observation 02654c20-00ec-485a-8ebf-cb9c03520ab1 · outbound

This paper cites Chabchoub, N.

Sequential data assimilation for PDEs using shape-morphing solutions Chabchoub, N

Reference 42

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Observation 03f9c6a1-1ff5-4f2e-92df-810374df6e58 · outbound

This paper cites Kuramoto, Diffusion-induced chaos in reaction systems, Progress of The- oretical Physics Supplement 64 (1978) 346–367.

Sequential data assimilation for PDEs using shape-morphing solutions Kuramoto, Diffusion-induced chaos in reaction systems, Progress of The- oretical Physics Supplement 64 (1978) 346–367

Reference 43

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Observation acb0c278-07fd-4dd0-848e-1156b2bcbc50 · outbound

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Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 44

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Observation 41a905b8-1d47-4fe1-ae58-b60dabf48841 · outbound

This paper cites Farazmand, G.

Sequential data assimilation for PDEs using shape-morphing solutions Farazmand, G

Reference 45

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Observation 6125ed4e-716c-4208-b7ee-0c644a6d0090 · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 46

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Observation 0239ea7d-cba5-488f-8a22-9ac0ef4b6e20 · outbound

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Sequential data assimilation for PDEs using shape-morphing solutions Raissi, P

Reference 47

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Observation adff8686-a8bd-413e-a55f-88333ba35444 · outbound

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Sequential data assimilation for PDEs using shape-morphing solutions Attia, A

Reference 48

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Observation 6714d2f1-5cf0-4b84-8753-d399a2a856d7 · outbound

This paper cites Farazmand, Sparse discrete empirical interpolation method: State es- timation from few sensors, SIAM Journal on Scientific Computing 46 (6) (2024) A3658–A3680.

Sequential data assimilation for PDEs using shape-morphing solutions Farazmand, Sparse discrete empirical interpolation method: State es- timation from few sensors, SIAM Journal on Scientific Computing 46 (6) (2024) A3658–A3680

Reference 49

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.122707Z

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Observation 16ced8ed-4541-407c-9dbc-e0a6720a3f0a · outbound

This paper cites an unresolved cited work.

Sequential data assimilation for PDEs using shape-morphing solutions Unresolved cited work

Reference 2902

Resolution: verified exact; doi, observed 2026-08-12T13:00:40.266207Z

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Pith citing papers

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