Paper Citation Record · LEDGER

Theory and numerics of subspace approximation of eigenvalue problems

As of 14 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2412.08891.

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

pith.paper-citation-record.v1
2412.08891 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:34:07.045620Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:27:43.613486Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T22:27:43.660438Z

Reference resolution

43 of 43 outbound references displayed

verified exact1
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External citation measurements

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Outbound references

Observation 906f1732-7e8f-4dc6-9b36-28b6517775ed · outbound

This paper cites John Wiley & Sons, 2019.

Theory and numerics of subspace approximation of eigenvalue problems John Wiley & Sons, 2019

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.967173Z

Source-reported events for the cited work

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Observation 8b541dd0-b3c2-4162-8456-e1683d604d18 · outbound

This paper cites Computational quantum chemistry: A primer.

Theory and numerics of subspace approximation of eigenvalue problems Computational quantum chemistry: A primer

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.954315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f2f11db7-ba86-4003-818a-c9a4746ad687 · outbound

This paper cites Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method.SIAM journal on scientific computing, 23(2):517–541, 2001.

Theory and numerics of subspace approximation of eigenvalue problems Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method.SIAM journal on scientific computing, 23(2):517–541, 2001

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.941861Z

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Observation 97c06922-f9ce-4e2c-8f28-8197c7dbd291 · outbound

This paper cites The proper orthogonal decomposition in the analysis of turbulent flows.

Theory and numerics of subspace approximation of eigenvalue problems The proper orthogonal decomposition in the analysis of turbulent flows

Reference 4

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Source-reported events for the cited work

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Observation 64a7bc6a-8b5c-4b87-92f4-6cf5138c484c · outbound

This paper cites Safonov and R.Y.

Theory and numerics of subspace approximation of eigenvalue problems Safonov and R.Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.918041Z

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Observation dba21633-6cdb-4d07-8b11-4fda7ea6994d · outbound

This paper cites an unresolved cited work.

Theory and numerics of subspace approximation of eigenvalue problems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:34:07.903452Z

Source-reported events for the cited work

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Observation a8cff277-f484-4bae-8c12-57e0778f6a89 · outbound

This paper cites Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders.Journal of Computational Physics, 404:108973, 2020.

Theory and numerics of subspace approximation of eigenvalue problems Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders.Journal of Computational Physics, 404:108973, 2020

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.888588Z

Source-reported events for the cited work

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Observation 4b44300e-126b-4a4b-acd7-56f94fe6eb07 · outbound

This paper cites Reduced-order modeling of advection-dominated systems with recurrent neural networks and convolutional autoencoders.Physics of Fluids, 33(3):037106, 2021.

Theory and numerics of subspace approximation of eigenvalue problems Reduced-order modeling of advection-dominated systems with recurrent neural networks and convolutional autoencoders.Physics of Fluids, 33(3):037106, 2021

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.872315Z

Source-reported events for the cited work

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Observation 8a84d16f-321f-4fae-903f-c25cc228a64c · outbound

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

Theory and numerics of subspace approximation of eigenvalue problems A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder.Journal of Computational Physics, 451:110841, 2022

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.858075Z

Source-reported events for the cited work

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Observation d30d180d-c7bf-4f9a-9528-62773c07e5d4 · outbound

This paper cites Nonlinear model reduction via discrete empirical interpolation.SIAM Journal on Scientific Computing, 32(5):2737–2764, 2010.

Theory and numerics of subspace approximation of eigenvalue problems Nonlinear model reduction via discrete empirical interpolation.SIAM Journal on Scientific Computing, 32(5):2737–2764, 2010

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.845577Z

Source-reported events for the cited work

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Observation d4e2fd25-1b17-4267-b4f7-92600297b306 · outbound

This paper cites an unresolved cited work.

Theory and numerics of subspace approximation of eigenvalue problems Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:34:07.833180Z

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Observation 6850889c-2e98-4658-b55d-43381b49526e · outbound

This paper cites S-opt: A points selection algorithm for hyper-reduction in reduced order models.SIAM Journal on Scientific Computing, 46(4):B474–B501, 2024.

Theory and numerics of subspace approximation of eigenvalue problems S-opt: A points selection algorithm for hyper-reduction in reduced order models.SIAM Journal on Scientific Computing, 46(4):B474–B501, 2024

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.821440Z

Source-reported events for the cited work

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Observation cb91461a-b7c6-438d-8efa-a26476b2357f · outbound

This paper cites The reduced basis method for the electric field integral equation.Journal of Computational Physics, 230(14):5532–5555, 2011.

Theory and numerics of subspace approximation of eigenvalue problems The reduced basis method for the electric field integral equation.Journal of Computational Physics, 230(14):5532–5555, 2011

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.807526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2c80d62b-d909-4e59-9aab-47a8e02b6764 · outbound

This paper cites A reduced-order representation of the Schr¨ odinger equation.AIP Advances, 6(9):095121, 2016.

Theory and numerics of subspace approximation of eigenvalue problems A reduced-order representation of the Schr¨ odinger equation.AIP Advances, 6(9):095121, 2016

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.787341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ed9bcddf-b4f8-4444-bdb8-eadb33703000 · outbound

This paper cites Explicit and energy-conserving constraint energy minimizing generalized multiscale discontinuous galerkin method for wave propagation in heterogeneous media.

Theory and numerics of subspace approximation of eigenvalue problems Explicit and energy-conserving constraint energy minimizing generalized multiscale discontinuous galerkin method for wave propagation in heterogeneous media

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.768833Z

Source-reported events for the cited work

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Observation 30a515d2-28bc-46a5-a19d-33c274efae32 · outbound

This paper cites Space–time least-squares Petrov–Galerkin projection for nonlinear model reduction.

Theory and numerics of subspace approximation of eigenvalue problems Space–time least-squares Petrov–Galerkin projection for nonlinear model reduction

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.752345Z

Source-reported events for the cited work

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Observation 24a59bce-7133-45a7-9a61-c9be7d642b5b · outbound

This paper cites SNS: a solution-based nonlinear subspace method for time- dependent model order reduction.SIAM Journal on Scientific Computing, 42(2):A1116–A1146, 2020.

Theory and numerics of subspace approximation of eigenvalue problems SNS: a solution-based nonlinear subspace method for time- dependent model order reduction.SIAM Journal on Scientific Computing, 42(2):A1116–A1146, 2020

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.738944Z

Source-reported events for the cited work

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Observation 65730415-ff76-4ce0-bf5c-3620e5355d82 · outbound

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

Theory and numerics of subspace approximation of eigenvalue problems Conservative model reduction for finite-volume models.Journal of Computational Physics, 371:280–314, 2018

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.722428Z

Source-reported events for the cited work

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Observation 674f607a-9db1-47d5-81c6-d56e52e4c6e2 · outbound

This paper cites Reduced order models for lagrangian hydrodynamics.Computer Methods in Applied Mechanics and Engineering, 388:114259, 2022.

Theory and numerics of subspace approximation of eigenvalue problems Reduced order models for lagrangian hydrodynamics.Computer Methods in Applied Mechanics and Engineering, 388:114259, 2022

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T17:34:06.935291Z

Source-reported events for the cited work

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Observation a2bc78c7-24fe-43d2-8fe5-ca630b50e307 · outbound

This paper cites Local Lagrangian reduced-order modeling for Rayleigh–Taylor instability by solution manifold decomposition.Journal of Computational Physics, 472:111655, 2023.

Theory and numerics of subspace approximation of eigenvalue problems Local Lagrangian reduced-order modeling for Rayleigh–Taylor instability by solution manifold decomposition.Journal of Computational Physics, 472:111655, 2023

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.701088Z

Source-reported events for the cited work

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Observation 69167683-28c0-41e9-8153-bc055cadb8ef · outbound

This paper cites Localized model reduction in porous media flow.IF AC-PapersOnLine, 48(6):242–247, 2015.

Theory and numerics of subspace approximation of eigenvalue problems Localized model reduction in porous media flow.IF AC-PapersOnLine, 48(6):242–247, 2015

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.686611Z

Source-reported events for the cited work

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Observation 4050f72a-40f9-4d0a-b054-8bfdae7352cb · outbound

This paper cites Constraint energy minimizing generalized multiscale finite element method for dual continuum model.Communications in Mathematical Sciences, 18(3):663–685, 2020.

Theory and numerics of subspace approximation of eigenvalue problems Constraint energy minimizing generalized multiscale finite element method for dual continuum model.Communications in Mathematical Sciences, 18(3):663–685, 2020

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.671386Z

Source-reported events for the cited work

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Observation a2fe9ad8-07a1-429a-8cfa-3f1fd0086c6e · outbound

This paper cites Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems.Journal of Computational Physics, 424:109845, 2021.

Theory and numerics of subspace approximation of eigenvalue problems Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems.Journal of Computational Physics, 424:109845, 2021

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T17:34:06.951611Z

Source-reported events for the cited work

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Observation 3410888c-2fc8-4c26-9b51-8c342902a8a8 · outbound

This paper cites A survey of model reduction by balanced truncation and some new results.

Theory and numerics of subspace approximation of eigenvalue problems A survey of model reduction by balanced truncation and some new results

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.642266Z

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Observation 7ac07ec4-d475-4e87-82eb-ffd61556de6b · outbound

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

Theory and numerics of subspace approximation of eigenvalue problems A survey of projection-based model reduction methods for parametric dynamical systems.SIAM review, 57(4):483–531, 2015

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T17:34:06.959396Z

Source-reported events for the cited work

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Observation c16ea9d0-cc54-45d5-8a75-ba140cf14403 · outbound

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Theory and numerics of subspace approximation of eigenvalue problems Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:34:07.619084Z

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Observation 3f7c3fdf-e514-4179-b365-228b1cdd5808 · outbound

This paper cites an unresolved cited work.

Theory and numerics of subspace approximation of eigenvalue problems Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:34:07.602005Z

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Observation 217adb90-4892-446a-91c3-cbf33e5baa69 · outbound

This paper cites A subspace method for large-scale eigenvalue optimiza- tion.SIAM Journal on Matrix Analysis and Applications, 39(1):48–82, 2018.

Theory and numerics of subspace approximation of eigenvalue problems A subspace method for large-scale eigenvalue optimiza- tion.SIAM Journal on Matrix Analysis and Applications, 39(1):48–82, 2018

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.584381Z

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Observation 28e60484-86c5-43aa-bba1-03ee53915d23 · outbound

This paper cites Subspace acceleration for large-scale parameter-dependent hermitian eigenproblems.

Theory and numerics of subspace approximation of eigenvalue problems Subspace acceleration for large-scale parameter-dependent hermitian eigenproblems

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.562801Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 20047e25-1153-4734-b11c-62f51a0f16f8 · outbound

This paper cites an unresolved cited work.

Theory and numerics of subspace approximation of eigenvalue problems Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:34:07.543329Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a72383e1-bbf2-41be-ad61-cf43d00a356c · outbound

This paper cites Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections.Computational and Applied Mathematics, 43(8):443, 2024.

Theory and numerics of subspace approximation of eigenvalue problems Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections.Computational and Applied Mathematics, 43(8):443, 2024

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.527302Z

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Observation 6e17fa7e-f2a8-415b-96ba-383a336d15b2 · outbound

This paper cites On reduced basis methods for eigenvalue problems, and on its coupling with perturbation theory.

Theory and numerics of subspace approximation of eigenvalue problems On reduced basis methods for eigenvalue problems, and on its coupling with perturbation theory

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T17:34:06.991396Z

Source-reported events for the cited work

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Observation 38d04172-df0c-4ea1-9c6b-2a50f4c8139f · outbound

This paper cites Uniform approximation of eigenproblems of a large-scale parameter- dependent hermitian matrix.arXiv preprint arXiv:2409.05791, 2024.

Theory and numerics of subspace approximation of eigenvalue problems Uniform approximation of eigenproblems of a large-scale parameter- dependent hermitian matrix.arXiv preprint arXiv:2409.05791, 2024

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T17:34:06.996193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation feba9703-9cf3-4282-97ce-ac1dc19b043e · outbound

This paper cites A reduced basis approach to large-scale pseudospectra computation.Numerical Linear Algebra with Applications, 26(2):e2222, 2019.

Theory and numerics of subspace approximation of eigenvalue problems A reduced basis approach to large-scale pseudospectra computation.Numerical Linear Algebra with Applications, 26(2):e2222, 2019

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.510199Z

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Observation f8a7e610-a5c8-416d-9b15-b45121ce4286 · outbound

This paper cites Surrogate models for quantum spin systems based on reduced-order modeling.Physical Review E, 105(4):045303, 2022.

Theory and numerics of subspace approximation of eigenvalue problems Surrogate models for quantum spin systems based on reduced-order modeling.Physical Review E, 105(4):045303, 2022

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.496779Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 624e4b71-9b67-47b0-b821-b0b70a28856f · outbound

This paper cites Reduced basis surrogates for quantum spin systems based on tensor networks.Physical Review E, 108(2):025306, 2023.

Theory and numerics of subspace approximation of eigenvalue problems Reduced basis surrogates for quantum spin systems based on tensor networks.Physical Review E, 108(2):025306, 2023

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.480046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 27b28831-449c-4383-8d1f-d5ce22e1d2b1 · outbound

This paper cites an unresolved cited work.

Theory and numerics of subspace approximation of eigenvalue problems Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:34:07.459459Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9bb09d2d-7c6c-496f-a46e-63592d2a1ba0 · outbound

This paper cites Simultaneous reduced basis approximation of parameterized 22 elliptic eigenvalue problems.ESAIM: Mathematical Modelling and Numerical Analysis, 51(2):443–465, 2017.

Theory and numerics of subspace approximation of eigenvalue problems Simultaneous reduced basis approximation of parameterized 22 elliptic eigenvalue problems.ESAIM: Mathematical Modelling and Numerical Analysis, 51(2):443–465, 2017

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.442119Z

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Observation 7053109d-671a-424d-9c0a-6d4a0a4b21ef · outbound

This paper cites A reduced order model for the finite element approximation of eigenvalue problems.Computer Methods in Applied Mechanics and Engineering, 404:115696, 2023.

Theory and numerics of subspace approximation of eigenvalue problems A reduced order model for the finite element approximation of eigenvalue problems.Computer Methods in Applied Mechanics and Engineering, 404:115696, 2023

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.427015Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3f8e7791-38c5-4739-b04e-227244d4819a · outbound

This paper cites SIAM, 1998.

Theory and numerics of subspace approximation of eigenvalue problems SIAM, 1998

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.409676Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a5e0255b-3b0a-41b2-b82b-32f70251e0be · outbound

This paper cites Anderson, J.

Theory and numerics of subspace approximation of eigenvalue problems Anderson, J

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.391885Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4b457fc3-8161-4b43-b506-47f30933c47a · outbound

This paper cites VisIt: Experiences with Sustainable Software.

Theory and numerics of subspace approximation of eigenvalue problems VisIt: Experiences with Sustainable Software

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:34:07.110452Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f0c9e35a-5b82-4f11-b496-bc8a4ba8bfb6 · outbound

This paper cites MIT Press, 2022.

Theory and numerics of subspace approximation of eigenvalue problems MIT Press, 2022

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:34:07.369555Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 308b4173-5ed2-4bec-a85f-d2d4c3f934f6 · inbound

Model Order Reduction for Quantum Molecular Dynamics cites this paper.

Model Order Reduction for Quantum Molecular Dynamics Theory and numerics of subspace approximation of eigenvalue problems

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-04T22:27:43.666392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.