Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations | Paper Citation Record

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This paper cites https://ngsolve.org/.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations https://ngsolve.org/

Reference 1

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This paper cites Ainsworth and I.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Ainsworth and I

Reference 2

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This paper cites Ainsworth and J.T.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Ainsworth and J.T

Reference 3

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This paper cites Ainsworth and T.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Ainsworth and T

Reference 4

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This paper cites Galerkin neural networks: A framework for approxi- mating variational equations with error control.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Galerkin neural networks: A framework for approxi- mating variational equations with error control

Reference 5

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 6

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This paper cites Data2vec: A general framework for self-supervised learning in speech, vision and language.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Data2vec: A general framework for self-supervised learning in speech, vision and language

Reference 7

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This paper cites wav2vec 2.0: A framework for self-supervised learning of speech representations.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations wav2vec 2.0: A framework for self-supervised learning of speech representations

Reference 8

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This paper cites A Cookbook of Self-Supervised Learning.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations A Cookbook of Self-Supervised Learning

Reference 9

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This paper cites On the role of polynomials in RBF-FD approximations: II.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations On the role of polynomials in RBF-FD approximations: II

Reference 10

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This paper cites Bernardi and R.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Bernardi and R

Reference 11

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This paper cites Bernhardsson.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Bernhardsson

Reference 12

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 13

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This paper cites Convex optimization.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Convex optimization

Reference 14

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This paper cites The neural network colloca- tion method for solving partial differential equations.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations The neural network colloca- tion method for solving partial differential equations

Reference 15

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This paper cites Cai and Z.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Cai and Z

Reference 16

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 17

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 18

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This paper cites Robust and Explicit a posteriori Error Estimation Techniques in Adaptive Finite Element Method.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Robust and Explicit a posteriori Error Estimation Techniques in Adaptive Finite Element Method

Reference 19

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This paper cites Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations

Reference 20

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This paper cites Posterior covariance structures in gaussian processes.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Posterior covariance structures in gaussian processes

Reference 21

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This paper cites Cai and S.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Cai and S

Reference 22

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This paper cites Flux recovery and a posteriori error estimators: conforming elements for scalar elliptic equations.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Flux recovery and a posteriori error estimators: conforming elements for scalar elliptic equations

Reference 23

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This paper cites Adaptive radial basis function partition of unity interpolation: A bivariate algorithm for unstructured data.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Adaptive radial basis function partition of unity interpolation: A bivariate algorithm for unstructured data

Reference 24

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This paper cites Davydov, D.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Davydov, D

Reference 25

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This paper cites Deng and H.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Deng and H

Reference 26

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations BERT: Pre-training of deep bidirectional transformers for language understanding

Reference 27

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This paper cites Efficient k-nearest neighbor graph construction for generic similarity measures.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Efficient k-nearest neighbor graph construction for generic similarity measures

Reference 28

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This paper cites Dosovitskiy, L.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Dosovitskiy, L

Reference 29

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This paper cites Adaptive residual refinement in an RBF finite difference scheme for 2D time-dependent problems.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Adaptive residual refinement in an RBF finite difference scheme for 2D time-dependent problems

Reference 30

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Adaptive residual refinement in an rbf finite difference scheme for 2d time-dependent problems

Reference 31

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Vision Models Are More Robust And Fair When Pretrained On Uncurated Images Without Supervision

Reference 32

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Gray and A

Reference 33

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Gray and A

Reference 34

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This paper cites Greengard and J.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Greengard and J

Reference 35

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This paper cites Bootstrap your own latent-a new approach to self-supervised learning.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Bootstrap your own latent-a new approach to self-supervised learning

Reference 36

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Hackbusch

Reference 37

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This paper cites Tetgen, a delaunay-based quality tetrahedral mesh generator.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Tetgen, a delaunay-based quality tetrahedral mesh generator

Reference 38

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 39

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Masked autoencoders are scalable vision learners

Reference 40

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This paper cites Hendrycks, M.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Hendrycks, M

Reference 41

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 42

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations A software package for sequential quadratic programming

Reference 43

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Empirical testing of fast kernel density estimation algorithms

Reference 44

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 45

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This paper cites Stable high order FD methods for interface and internal layer problems based on non-matching grids.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Stable high order FD methods for interface and internal layer problems based on non-matching grids

Reference 46

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations An explicit link between gaussian fields and gaussian markov random fields: The stochastic partial differential equation approach

Reference 47

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This paper cites CPAFT: A consistent parallel advanc- ing front technique for unstructured triangular/tetrahedral mesh generation.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations CPAFT: A consistent parallel advanc- ing front technique for unstructured triangular/tetrahedral mesh generation

Reference 48

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 49

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This paper cites An artificial neural network based deep collocation method for the solution of transient linear and nonlinear partial differen- tial equations.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations An artificial neural network based deep collocation method for the solution of transient linear and nonlinear partial differen- tial equations

Reference 50

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Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 51

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Observation 60779442-850d-48ac-895a-d69bf8f8c051 · outbound

This paper cites Mitchell.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Mitchell

Reference 52

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Observation ac2a9231-495f-423a-bacf-50a0036e8160 · outbound

This paper cites Muja and D.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Muja and D

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:19.383615Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7e3598c2-5969-49dc-b33f-cc4b1095ea95 · outbound

This paper cites Adaptive RBF-FD method for elliptic problems with point singularities in 2D.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Adaptive RBF-FD method for elliptic problems with point singularities in 2D

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:19.231488Z

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Observation a89fe8c4-12b8-4c4e-b384-1600770d1cc1 · outbound

This paper cites A multilevel, hierarchical sam- pling technique for spatially correlated random fields.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations A multilevel, hierarchical sam- pling technique for spatially correlated random fields

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:19.044978Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bcd5b1c4-8c44-4681-975a-848de4d2512f · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:49:18.911409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ca807e55-b0d9-4fe8-a003-33ca6f39ff72 · outbound

This paper cites Adaptive mesh refinement: Quantitative computation of a rising bubble using comsol multiphysics ®.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Adaptive mesh refinement: Quantitative computation of a rising bubble using comsol multiphysics ®

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:18.821944Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e9b481d1-fc78-40f7-b75b-3d0203400656 · outbound

This paper cites Raffel, N.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Raffel, N

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:18.720213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 92a92bf8-6cc1-42c1-8afa-930535fe44c5 · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-06T21:49:14.633957Z

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Observation 14641d14-73f9-4fe5-9c7f-e0aa6c780e1d · outbound

This paper cites Rosenblatt.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Rosenblatt

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:18.609205Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6e6df4a0-9d83-407f-ab72-3362508fbf5b · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:49:18.438092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 139072e9-2595-4bc6-a5f8-88c0432bc102 · outbound

This paper cites Netgen an advancing front 2d/3d-mesh generator based on abstract rules.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Netgen an advancing front 2d/3d-mesh generator based on abstract rules

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:18.206380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5bb1fec6-4382-4d36-b713-337f156ef99e · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:49:18.040024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7077ac79-6fca-4e69-90ac-202950629ae8 · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:49:17.939089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a818b082-aa55-4a73-9897-bb1b23a6f755 · outbound

This paper cites Density estimation for statistics and data analysis.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Density estimation for statistics and data analysis

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-06T21:49:15.049432Z

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Observation a925337f-b593-4888-970b-07931afab259 · outbound

This paper cites Slak and G.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Slak and G

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:17.775011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bbddc24a-97bc-422b-b1b5-6540b1c3c410 · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 67

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:49:17.610017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 34eeadf7-43f2-47ca-8737-ea458ff95d97 · outbound

This paper cites Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:17.418762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f3d893cd-e436-4e43-857a-b499888feb88 · outbound

This paper cites Variable kernel density estimation.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Variable kernel density estimation

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T21:49:15.354150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5da08485-6f87-4d24-87f7-76b75eab69b6 · outbound

This paper cites Verf¨ urth.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Verf¨ urth

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:17.248179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b76f18da-c6b8-4a2f-9fae-a6d85cdd9089 · outbound

This paper cites Verf¨ urth.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Verf¨ urth

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:17.113741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a6d804b7-2551-40d6-99bc-5934f1f3fe08 · outbound

This paper cites Verf¨ urth.A Posteriori Error Estimation Techniques for Finite Element Methods.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Verf¨ urth.A Posteriori Error Estimation Techniques for Finite Element Methods

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:17.000504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a6096563-234b-4ccc-8c57-d0d1b8a2c909 · outbound

This paper cites Wald and V.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Wald and V

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:16.860910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 203f0d13-703b-4bc1-bc26-c5ac8225abd9 · outbound

This paper cites Optimal smoothing parameters for multivariate fized and adaptive kernel methods.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Optimal smoothing parameters for multivariate fized and adaptive kernel methods

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:16.712220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation df69a4e6-c51b-4cdb-bf76-b36daf66a77e · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:49:16.565832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f943c040-ff1a-46cf-8547-e463faa7acb9 · outbound

This paper cites Yu and W.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Yu and W

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:16.432478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2ce28640-aa1b-4418-b7cf-a898ac9e8250 · outbound

This paper cites Amrex: a framework for block- structured adaptive mesh refinement.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Amrex: a framework for block- structured adaptive mesh refinement

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:49:16.206059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 38c4a08a-2ca1-48bb-8a77-ce0937e40c01 · outbound

This paper cites an unresolved cited work.

Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations Unresolved cited work

Reference 1738

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T21:49:19.605931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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