Paper Citation Record · LEDGER

Matrix Lie Maps and Neural Networks for Solving Differential Equations

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.06088.

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

pith.paper-citation-record.v1
1908.06088 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:08:34.608210Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

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verified fuzzy16
unresolved8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e3f2b7b-0f1b-4298-8a94-8143f8e57c94 · outbound

This paper cites Artificial Neural Networks for Solving Ordinary and Partial Differential Equations.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Artificial Neural Networks for Solving Ordinary and Partial Differential Equations

Reference 1

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Source-reported events for the cited work

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Observation 66c667c6-a987-46d8-b55d-6f279350f7d9 · outbound

This paper cites Applied Mathematics, 1, 288292 (2010).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Applied Mathematics, 1, 288292 (2010)

Reference 2

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Observation 0bc61327-648a-44f5-a491-2f5b8e592f34 · outbound

This paper cites an unresolved cited work.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Unresolved cited work

Reference 3

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Matrix Lie Maps and Neural Networks for Solving Differential Equations Unresolved cited work

Reference 4

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Observation ac6e62fe-d9bd-4c00-9d9f-57b6625185df · outbound

This paper cites Journal of Computational Physics (2018).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Journal of Computational Physics (2018)

Reference 5

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Observation 913cb11f-c44c-44f4-9bf2-a4449b0b87b1 · outbound

This paper cites Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

Reference 6

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Source-reported events for the cited work

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Observation 3c66f141-697a-4c76-a1e3-b60b94d33f8e · outbound

This paper cites Constructing Runge-Kutta Methods with the Use of Artificial Neural Networks.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Constructing Runge-Kutta Methods with the Use of Artificial Neural Networks

Reference 7

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Observation 9f2129e2-40bb-4916-a990-481bdc12b70f · outbound

This paper cites IEEE Transactions on Neural Networks, vol.

Matrix Lie Maps and Neural Networks for Solving Differential Equations IEEE Transactions on Neural Networks, vol

Reference 8

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Observation c9cff0f5-5824-4dff-bfcc-bc50e58bd3f0 · outbound

This paper cites Neural Ordinary Differential Equations.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Neural Ordinary Differential Equations

Reference 9

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Source-reported events for the cited work

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This paper cites Journal of Artiﬁcial Intelli- gence, 4 (1), 8999 (2011).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Journal of Artiﬁcial Intelli- gence, 4 (1), 8999 (2011)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.748520Z

Source-reported events for the cited work

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Observation bc72c490-cfd2-46e7-8b79-9b4d346ad5ad · outbound

This paper cites Advances in Diﬀerence Equations, 469 (2018).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Advances in Diﬀerence Equations, 469 (2018)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.683620Z

Source-reported events for the cited work

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Observation 84792cab-a9cd-4da8-bfa0-c48f9e54317d · outbound

This paper cites an unresolved cited work.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Unresolved cited work

Reference 12

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Matrix Lie Maps and Neural Networks for Solving Differential Equations Unresolved cited work

Reference 13

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Observation b923f214-b0f3-42ac-9809-8c173cc492c0 · outbound

This paper cites Computer Algebra in Sc, Comp., Lecture Notes in Computer Science, 6244, 19–30 (2010).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Computer Algebra in Sc, Comp., Lecture Notes in Computer Science, 6244, 19–30 (2010)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.538628Z

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Observation 3845f46a-c0b9-4976-b84f-152cf72c9410 · outbound

This paper cites Mathematics and Computers in Simulation, vol.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Mathematics and Computers in Simulation, vol

Reference 15

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Observation b09b01ae-d19b-4926-a353-6141c6cfb207 · outbound

This paper cites In: Proceedings of the Abstracts of the International Congress on Computer Systems and Applied Mathematics, 14 (1993).

Matrix Lie Maps and Neural Networks for Solving Differential Equations In: Proceedings of the Abstracts of the International Congress on Computer Systems and Applied Mathematics, 14 (1993)

Reference 16

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Observation 4d37d458-1c3b-4e83-9dcc-df828cb9443b · outbound

This paper cites The convergence and accuracy of the matrix formalism approxima- tion.

Matrix Lie Maps and Neural Networks for Solving Differential Equations The convergence and accuracy of the matrix formalism approxima- tion

Reference 17

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Observation 814712f4-5e76-4c68-badc-ab37d451a3d3 · outbound

This paper cites Long-time predictive modeling of nonlinear dynamical sys- tems using neural networks.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Long-time predictive modeling of nonlinear dynamical sys- tems using neural networks

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.257830Z

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Observation 6ae5576e-f0be-42e9-999d-b87e8358aae1 · outbound

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Matrix Lie Maps and Neural Networks for Solving Differential Equations Unresolved cited work

Reference 19

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Observation d350921b-5e9d-49f7-aa37-75f97387d586 · outbound

This paper cites Journal of Applied Sciences 7(19), 28122817 (2007).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Journal of Applied Sciences 7(19), 28122817 (2007)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.170450Z

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Observation 97fd0be4-645d-4af8-ae9a-b14655866728 · outbound

This paper cites F.: Solution of linear partial diﬀerential equations by Lie algebraic methods.

Matrix Lie Maps and Neural Networks for Solving Differential Equations F.: Solution of linear partial diﬀerential equations by Lie algebraic methods

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.063559Z

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Observation dbfd8bd9-58db-4389-92ff-42e16c0f2d35 · outbound

This paper cites Note di Matematica, 23, n.

Matrix Lie Maps and Neural Networks for Solving Differential Equations Note di Matematica, 23, n

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:35.048609Z

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

Observation 9abc94f7-2f3a-4297-80c5-8364727a2a6b · outbound

This paper cites Providence, R.I.: American Mathemat- ical Society (2010).

Matrix Lie Maps and Neural Networks for Solving Differential Equations Providence, R.I.: American Mathemat- ical Society (2010)

Reference 23

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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.

Observation d7e5f656-cad5-4c97-86a8-025147a2dc93 · outbound

This paper cites In: Proceedings of ICAP2012, Rostock, Germany, 99–103 (2012).

Matrix Lie Maps and Neural Networks for Solving Differential Equations In: Proceedings of ICAP2012, Rostock, Germany, 99–103 (2012)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:34.846546Z

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.

Observation 53940d5d-9ebb-4930-98ce-0c6f208e6d41 · outbound

This paper cites In: Proceedings of the Particle Accelerator Conference, 3020–3022 (2014).

Matrix Lie Maps and Neural Networks for Solving Differential Equations In: Proceedings of the Particle Accelerator Conference, 3020–3022 (2014)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:34.832210Z

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.

Pith citing papers

No inbound Pith citation observations are available.