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Paper Citation Record · LEDGER

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data

As of 17 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.18855.

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

pith.paper-citation-record.v1
2506.18855 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:47:32.379803Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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External citation measurements

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Outbound references

Observation 3abf9fa1-e963-4b73-8a16-7e5c0d7583a3 · outbound

This paper cites Turbulence and the dynamics of coherent structures part III: Dy- namics and scaling.Quarterly of Applied Mathematics, 45(3):583–590, 1987.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Turbulence and the dynamics of coherent structures part III: Dy- namics and scaling.Quarterly of Applied Mathematics, 45(3):583–590, 1987

Reference 1

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Observation 8e13d26c-2683-4f3e-b38b-cce81e08061c · outbound

This paper cites Lumley, and Emily Stone.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Lumley, and Emily Stone

Reference 2

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Observation 777e3b22-52f6-4e54-aa91-e4eb5e4e0021 · outbound

This paper cites A survey of projection-based model reduction methods for parametric dynamical systems.SIAM Review, 57(4):483–531, 2015.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data A survey of projection-based model reduction methods for parametric dynamical systems.SIAM Review, 57(4):483–531, 2015

Reference 3

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Observation 5c665c94-c444-4024-99a7-a0b6a3735c95 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 4

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Observation a231975b-ea41-4131-9bf2-9eed96833db3 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 5

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Observation 8d9f2844-a4dd-45fc-ad2e-89cb46c9ef7e · outbound

This paper cites Adjacency-based, non-intrusive model reduction for vortex-induced vibrations.Computers & Fluids, 275:106248, 2024.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Adjacency-based, non-intrusive model reduction for vortex-induced vibrations.Computers & Fluids, 275:106248, 2024

Reference 6

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Observation f394fb12-33b6-4ca2-b02e-b43a12791802 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 7

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Observation 15a90c0f-89dd-47dc-a3a1-13758ab0fdac · outbound

This paper cites Kara, and Yongjie J.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Kara, and Yongjie J

Reference 8

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Observation 6fcd60c7-6c48-42bd-8051-b5fe375eb7f5 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 9

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Observation cd63f8d0-0a56-4dc9-bd9d-58ed41d6e58b · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 10

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Observation 958ff7d1-5797-4b20-ac69-fe01d1400cdb · outbound

This paper cites Brunton, Joshua L.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Brunton, Joshua L

Reference 11

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Observation 21d6fd37-69a4-46cf-85a6-9a50cd01cbc9 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 12

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Observation 999aee41-284b-4490-8e90-908a2970c060 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 13

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Observation d01897eb-d26d-4084-a51f-1516a5b7456c · outbound

This paper cites Gomez, Łukasz Kaiser, and Illia Polosukhin.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Gomez, Łukasz Kaiser, and Illia Polosukhin

Reference 14

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verified fuzzy
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 23dc58db-f20f-4266-8fa9-830989a0c157 · outbound

This paper cites Transformers as meta-learners for implicit neural representations.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Transformers as meta-learners for implicit neural representations

Reference 15

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Observation 69bef789-dda9-4df5-aa22-0d546889a917 · outbound

This paper cites Fries, Xiaolong He, and Youngsoo Choi.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Fries, Xiaolong He, and Youngsoo Choi

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fc9bb649-cb1f-4331-8942-f4bbdd5d47b3 · outbound

This paper cites A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling

Reference 17

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Observation 0d79974a-791f-4448-a2d0-24c7ea158fa0 · outbound

This paper cites Messenger and David M.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Messenger and David M

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9298a6ed-9924-4495-875f-ad2d4c75b731 · outbound

This paper cites Continuous PDE Dynamics Forecasting with Implicit Neural Representations.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Continuous PDE Dynamics Forecasting with Implicit Neural Representations

Reference 19

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Observation 02b90b11-d895-4a64-9fe5-9ba4f89082cb · outbound

This paper cites Reduced-order modeling for parameterized PDEs via implicit neural representations.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Reduced-order modeling for parameterized PDEs via implicit neural representations

Reference 20

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Observation 0a5a0fb7-2cfc-458e-8a28-34b71a3e5b7b · outbound

This paper cites Karniadakis.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Karniadakis

Reference 21

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Observation 8e57c0ea-6350-4db4-9220-fceeab10c702 · outbound

This paper cites Conservative model reduction for finite-volume models.Journal of Computational Physics, 371:280–314, 2018.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Conservative model reduction for finite-volume models.Journal of Computational Physics, 371:280–314, 2018

Reference 22

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Observation f255d5eb-2ff4-4ada-9a2f-75785e62839e · outbound

This paper cites Carlberg.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Carlberg

Reference 23

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Observation a59713df-f6ff-4d40-a3e9-45867f948386 · outbound

This paper cites Mahoney, and Aditi S.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Mahoney, and Aditi S

Reference 24

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3a0f1e07-1f5a-4d86-9907-9eabe9aaa314 · outbound

This paper cites Towards enforcing hard physics constraints in operator learning frameworks.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Towards enforcing hard physics constraints in operator learning frameworks

Reference 25

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Observation 06e5d5c9-7991-419e-8439-40fdf35a19d9 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 26

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e88fa995-ab69-46a4-a74a-bf469c2ec4e1 · outbound

This paper cites Mohan, Nicholas Lubbers, Misha Chertkov, and Daniel Livescu.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Mohan, Nicholas Lubbers, Misha Chertkov, and Daniel Livescu

Reference 27

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raw_fallback, observed 2026-08-15T18:47:32.642103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation be47d5d5-9017-4555-88bc-8851e4a64049 · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 28

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Observation dfa10ccb-679a-4a9a-9caa-8fba20f17b58 · outbound

This paper cites Representation of divergence-free vector fields.Quarterly of applied mathematics, 69(2):309–316, 2011.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Representation of divergence-free vector fields.Quarterly of applied mathematics, 69(2):309–316, 2011

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c115df54-56b7-4075-a7dd-db1c88b5b2b3 · outbound

This paper cites Streamfunctionsfordivergence-freevectorfields.Quarterly of applied mathematics, 79(1):163–174, 2021.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Streamfunctionsfordivergence-freevectorfields.Quarterly of applied mathematics, 79(1):163–174, 2021

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 923fa843-e870-42e7-82f8-43e4b60ea49b · outbound

This paper cites Nonlinear dimen- sionality reduction for parametric problems: A kernel proper orthogonal decomposition.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Nonlinear dimen- sionality reduction for parametric problems: A kernel proper orthogonal decomposition

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 10d292d3-22ad-497a-9fd3-598b7a6accf5 · outbound

This paper cites Operator inference for non-intrusive model reduction with quadratic manifolds.Computer Methods in Applied Mechanics and Engineering, 403:115717, 2023.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Operator inference for non-intrusive model reduction with quadratic manifolds.Computer Methods in Applied Mechanics and Engineering, 403:115717, 2023

Reference 32

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Observation 5c25f7ab-e698-47e7-ada9-f1ace6723f5c · outbound

This paper cites Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction.Journal of Computational Physics, 464:111348, 2022.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction.Journal of Computational Physics, 464:111348, 2022

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1acdfb0c-e85a-4c14-a253-c6b8712cbc8d · outbound

This paper cites Carlberg.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Carlberg

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.577289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a3c68e0a-c8e7-4614-ab46-2a8a7e237721 · outbound

This paper cites A fast and ac- curate physics-informed neural network reduced order model with shallow masked au- toencoder.Journal of Computational Physics, 451:110841, 2022.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data A fast and ac- curate physics-informed neural network reduced order model with shallow masked au- toencoder.Journal of Computational Physics, 451:110841, 2022

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.566359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2c55baf1-b15f-473d-8776-3d99b33ed3ff · outbound

This paper cites Learning implicit fields for generative shape modeling.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Learning implicit fields for generative shape modeling

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.556866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f986bf8f-7396-4e91-b1dc-7e00c13909af · outbound

This paper cites DeepSDF: Learning continuous signed distance functions for shape representation.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data DeepSDF: Learning continuous signed distance functions for shape representation

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.546594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.342714Z digest=sha256:d71d9ca5b6fe8f08fe8b1895e3f826f8fde181501f071e1cd2f2787c152d5523

Observation 998ea729-d404-4176-8ad6-2f5e536eb8bb · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:47:32.536104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.346396Z digest=sha256:60b322fc5ec895d17b6b454afb902a49db3b083974f8adbeea77a8af55e14eb6

Observation 946169d2-de90-4c24-8f65-10aa4de44c5c · outbound

This paper cites Chen, Jinxu Xiang, Dong H.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Chen, Jinxu Xiang, Dong H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.524323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.350698Z digest=sha256:4705f5a9d59ddbf50ae94e91f2bdc583953683229d84b61e9364132e701444bf

Observation 9fbd5447-615e-4298-aec7-d19f2754fb15 · outbound

This paper cites Brunton, and José N.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Brunton, and José N

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.513251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.354108Z digest=sha256:8917593983d815e97692dc81036ea166fbbaba75580922eaf881405cc4c28c6c

Observation 37ab2be9-7816-4957-9e8d-eed1d40ec8d4 · outbound

This paper cites Learning the intrinsic dynamics of spatio-temporal processes through latent dynamics networks.Nature Communications, 15, 12 2024.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Learning the intrinsic dynamics of spatio-temporal processes through latent dynamics networks.Nature Communications, 15, 12 2024

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.501892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.357150Z digest=sha256:c82be41a463018aeaf3b0f01f99e8ccee0b02a98f7df445d793abd211ed642fb

Observation a17be8b5-6731-4cf7-a1e8-313c27a39fbf · outbound

This paper cites Adam: A Method for Stochastic Optimization.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Adam: A Method for Stochastic Optimization

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T18:47:32.360498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:47:32.360498Z digest=sha256:6479f0c410a506b640dd3c653aeec77dde10e63d8595a924e3f5d5b24d8b93f8

Observation e9368149-4ecd-45a6-a7a2-86f8f52dbb4a · outbound

This paper cites an unresolved cited work.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:47:32.490672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.363649Z digest=sha256:6bca0f0cea61a8274d1d5e3f91f85462a8141e6b6499d639b95756b3d4a7a5d4

Observation d6b2b74a-c394-4a4f-bb08-7c3895de5ade · outbound

This paper cites LeVeque.Finite Volume Methods for Hyperbolic Problems.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data LeVeque.Finite Volume Methods for Hyperbolic Problems

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T18:47:32.366798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:47:32.366798Z digest=sha256:decf96095a9a2fdc2b127c94eeb350b276f792abc330b39be4d6499596437851

Observation dd94a4fc-8898-4600-ad4b-16d9ffca12ed · outbound

This paper cites Mixed finite elements inR3.Numerische Mathematik, 35:315–341, 1980.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Mixed finite elements inR3.Numerische Mathematik, 35:315–341, 1980

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.475815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.370909Z digest=sha256:67295153e5475cf85832a3f20adf972c88ca036e0008a37089bebeb7c5529964

Observation 87a8e57c-4a20-4eb7-93f7-bf585ab7665f · outbound

This paper cites Karakashian and Wadi N.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Karakashian and Wadi N

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.463412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.373710Z digest=sha256:942d33b7f3aafbcf1a2193614230a33b355ca0fb249859dd318cef81be63dd3c

Observation 2989c3bd-e2e6-41a0-84d4-8e0720c9b2ee · outbound

This paper cites Efficient implementation of weighted ENO schemes.Journal of Computational Physics, 126(1):202–228, 1996.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Efficient implementation of weighted ENO schemes.Journal of Computational Physics, 126(1):202–228, 1996

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.451791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.376605Z digest=sha256:840086aabe7e31366f580891a8a92a0e42c2ea7b9749df8b9834a2abd6f9912e

Observation 5d49b067-ffb6-44fd-8d6a-feef768720fa · outbound

This paper cites Efficientimplementationofessentiallynon-oscillatory shock-capturing schemes.Journal of Computational Physics, 77(2):439–471, 1988.

ECLEIRS: Exact conservation law embedded identification of reduced states for parameterized partial differential equations from sparse and noisy data Efficientimplementationofessentiallynon-oscillatory shock-capturing schemes.Journal of Computational Physics, 77(2):439–471, 1988

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:47:32.441360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:47:32.379803Z digest=sha256:d5350176cacd82a0d404e454ddd129d6a2e03a9ffad98380428cb70cafe37670

Pith citing papers

No inbound Pith citation observations are available.