Paper Citation Record · LEDGER

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2411.19374.

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

pith.paper-citation-record.v1
2411.19374 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:19:04.104385Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:41:45.360150Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T04:41:45.392036Z

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy7
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cb741da0-3ed1-4734-9247-d9e22a385fa2 · outbound

This paper cites (11) Evaluating Single-step Exponential Methods for Stiff ODEs 4.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations (11) Evaluating Single-step Exponential Methods for Stiff ODEs 4

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.321003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation abf6e83f-822a-412e-8687-2c29cb78e8de · outbound

This paper cites (12) The local truncation error of this method shows why the lit- erature discourages the use of integrating factor exponential integration methods.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations (12) The local truncation error of this method shows why the lit- erature discourages the use of integrating factor exponential integration methods

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.305956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 62380c28-6675-479b-baa2-9e28a268b9ce · outbound

This paper cites an unresolved cited work.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:19:04.289510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0859f059-dc4d-4923-bc21-fbd3311ecf38 · outbound

This paper cites an unresolved cited work.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:19:04.273959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a3a041cd-c4d1-47f6-93db-fc7df817d580 · outbound

This paper cites (16) Although this ETD4RK method is formally fourth-order, Ref.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations (16) Although this ETD4RK method is formally fourth-order, Ref

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.258847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8ab13591-2e85-4a83-a84f-fd9fe53577df · outbound

This paper cites This scheme belongs to the class of exponential Runge-Kutta schemes.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations This scheme belongs to the class of exponential Runge-Kutta schemes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.241172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20d3d044-c41a-4402-baf7-a5d7951a7d31 · outbound

This paper cites an unresolved cited work.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:19:04.223827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 21ffbf84-e515-4868-85c5-0376611b755c · outbound

This paper cites an unresolved cited work.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:19:04.210308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bdf9a86f-4c57-4712-9391-ab7a9d3345e3 · outbound

This paper cites Generalized integrating factor exponential methods Generalized integrating factor methods44–46 extend the tra- ditional integrating factor approach previously discussed.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations Generalized integrating factor exponential methods Generalized integrating factor methods44–46 extend the tra- ditional integrating factor approach previously discussed

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.196263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation de7fb7f7-51e2-4475-8b04-a140b76d5948 · outbound

This paper cites However, there is a considerable decrease in stability as the order of the method increases.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations However, there is a considerable decrease in stability as the order of the method increases

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.179887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7cb8f9fb-0bfc-4c5a-93fa-0bf8562bce64 · outbound

This paper cites (27) (28).

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations (27) (28)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:19:04.163632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fc0a4d18-b861-41d4-a4e2-2781dd508681 · outbound

This paper cites Bayesian Neural Ordinary Differential Equations.

Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations Bayesian Neural Ordinary Differential Equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T10:19:04.104385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 96b77f1f-920a-4323-997c-c673782e71d3 · inbound

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods cites this paper.

Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Performance Evaluation of Single-step Explicit Exponential Integration Methods on Stiff Ordinary Differential Equations

Reference 1960

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:41:45.397248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.