Paper Citation Record · LEDGER

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2508.20255.

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

pith.paper-citation-record.v1
2508.20255 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:53:56.821106Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T03:14:22.586299Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:39:57.515935Z

Reference resolution

36 of 36 outbound references displayed

verified exact2
verified fuzzy18
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0dd9aab-2b84-402b-9eae-5ff8f99ac537 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:57.592910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5061c10c-460c-4300-bba2-a6f2f2a708a4 · outbound

This paper cites Communications in Applied Mathematics and Computational Science 18, 1 (2023), 1–28.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Communications in Applied Mathematics and Computational Science 18, 1 (2023), 1–28

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.559130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dd88a76c-080d-4baf-8657-3d56b2ee5e27 · outbound

This paper cites FIAT: enabling classical and modern macroelements.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome FIAT: enabling classical and modern macroelements

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.681751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ad83e8d-6fd3-4656-81c5-e9c118a8e3c7 · outbound

This paper cites Efficient Order-Optimal Preconditioners for Implicit Runge-Kutta and Runge-Kutta-Nystr\"om Methods Applicable to a Large Class of Parabolic and Hyperbolic PDEs.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Efficient Order-Optimal Preconditioners for Implicit Runge-Kutta and Runge-Kutta-Nystr\"om Methods Applicable to a Large Class of Parabolic and Hyperbolic PDEs

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T16:53:56.976490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d2692bdf-bb36-4ccf-86f4-bec0ec39d877 · outbound

This paper cites Imperial College London and University of Oxford and Baylor University and University of Washington.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Imperial College London and University of Oxford and Baylor University and University of Washington

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.729893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ebf4209-bf1d-43ab-b0f8-4079a714428a · outbound

This paper cites Applied Numerical Mathematics 41 (2002), 155–177.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Applied Numerical Mathematics 41 (2002), 155–177

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.399111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d504f1ab-3d94-45cc-8a1e-5890e3a70cc9 · outbound

This paper cites ACM Transactions on Mathematical Software (TOMS) (2025).

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome ACM Transactions on Mathematical Software (TOMS) (2025)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.754876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2edf7a83-2b4c-4c46-b157-e19c1e7d1baf · outbound

This paper cites Time-continuous strongly conservative space-time finite element methods for the dynamic Biot model.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Time-continuous strongly conservative space-time finite element methods for the dynamic Biot model

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.764487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1fd0ee5-59bd-4d7f-a461-e83a2351364c · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:57.280162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c04e38f5-7ed1-4b86-b38a-4ab2b2bff134 · outbound

This paper cites SIAM Journal on Scientific Computing (2025), S183–S206.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing (2025), S183–S206

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.246232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 25756d54-ac40-4219-a800-a6199ea53528 · outbound

This paper cites Firedrake: automating the finite element method by composing abstractions.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Firedrake: automating the finite element method by composing abstractions

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.807394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5ab87e0-abdb-4e2d-b84d-551448ef5f5c · outbound

This paper cites The SMAI Journal of computational mathematics 9 (2023), 61–93.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome The SMAI Journal of computational mathematics 9 (2023), 61–93

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.210999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 399bd832-27a2-4f2f-93bc-426f26196e35 · outbound

This paper cites https://doi.org/10.1007/978-3-642-23099-8 Lawrence Mitchell and Eike Hermann Müller.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome https://doi.org/10.1007/978-3-642-23099-8 Lawrence Mitchell and Eike Hermann Müller

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.769575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65029ef0-ef67-49a9-b32b-76f09562809d · outbound

This paper cites Acta Soc.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Acta Soc

Reference 1925

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.315796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3379a992-fcb9-4f8e-866c-f0ee74dd5ef1 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 1956

Resolution: verified exact; doi, observed 2026-08-15T16:53:56.921988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 89b4fcf8-7739-4f70-b084-5b77e4cb8b5d · outbound

This paper cites BIT Numerical Mathematics 3, 1 (1963), 27–43.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome BIT Numerical Mathematics 3, 1 (1963), 27–43

Reference 1963

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.498105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5840b36d-4080-48d2-a956-aed223b1ff97 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 1985

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:57.433285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bbd8da27-7442-4010-ac7d-e796f03a35d6 · outbound

This paper cites SIAM Journal on Scientific Computing 16, 6 (1995), 1241–1252.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing 16, 6 (1995), 1241–1252

Reference 1995

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.528464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 58866284-6296-4988-bd14-2a3d3d5c4db8 · outbound

This paper cites SIAM Journal on Scientific Computing 18, 5 (1997), 1255–1266.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing 18, 5 (1997), 1255–1266

Reference 1997

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.299054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 667895e0-b97e-49d5-84ab-10e6e5a42538 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 163, 1-4 (1998), 193–204.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Computer Methods in Applied Mechanics and Engineering 163, 1-4 (1998), 193–204

Reference 1998

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.450961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 69749d56-7fac-4ecc-a59a-d9640d4f64cb · outbound

This paper cites Journal of Engineering Mathematics 35 (1999), 405–426.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Journal of Engineering Mathematics 35 (1999), 405–426

Reference 1999

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.513149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b4300615-a0ce-4047-93aa-b03e761eddf3 · outbound

This paper cites In Computational Science—ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings, Part III.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome In Computational Science—ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings, Part III

Reference 2002

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.467172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e2a0a72-dcf4-4037-a31b-97b01a6a8d74 · outbound

This paper cites SIAM Journal on Scientific Computing 27, 1 (2005), 67–92.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing 27, 1 (2005), 67–92

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.816303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e270536e-a1ea-48bf-be53-f163e9cf7cee · outbound

This paper cites Modeling, Identification, and Control 27, 1 (2006), 109–123.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Modeling, Identification, and Control 27, 1 (2006), 109–123

Reference 2006

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.229119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8681245c-f0f2-428c-abc5-0258026dc3d0 · outbound

This paper cites Numerical Methods for Partial Differential Equations 27, 5 (2011), 1290–1312.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Numerical Methods for Partial Differential Equations 27, 5 (2011), 1290–1312

Reference 2011

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.332304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e34f32e9-99d0-4b43-8b35-711559842a71 · outbound

This paper cites In 2012 11th International Symposium on Parallel and Distributed Computing.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome In 2012 11th International Symposium on Parallel and Distributed Computing

Reference 2012

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.543653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 925e51be-310c-4762-a54d-3420699fdfc1 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 2016

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:57.348788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7a7208a1-0025-4d11-a470-af9a0c8e7d00 · outbound

This paper cites SIAM Rev.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Rev

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.381268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8cad15f7-1353-4265-a142-50929b8ad9b2 · outbound

This paper cites SIAM Journal on Scientific Computing 40, 1 (2018), C76–C98.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing 40, 1 (2018), C76–C98

Reference 2018

Resolution: verified exact; doi, observed 2026-08-15T16:53:56.885023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 00845189-eaf6-4267-96ac-b0ba3afcc5c2 · outbound

This paper cites Computers & Mathematics with Applications 77 (2019), 237–252.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Computers & Mathematics with Applications 77 (2019), 237–252

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.415932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8d14edfc-ea61-4fab-9c5a-74952978a7c6 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 2020

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:57.482274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8dd40d5f-851b-4382-9fec-bbf306f7ce54 · outbound

This paper cites SIAM Journal on Scientific Computing 43, 5 (2021), S475–S495.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing 43, 5 (2021), S475–S495

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.263763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4b869d31-ff21-4842-b56d-30561c5c28db · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 388 (2022), 114183.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Computer Methods in Applied Mechanics and Engineering 388 (2022), 114183

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.671836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 281abec3-4e99-432a-9f9f-a6dfad65dd09 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:56.647274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18950ef7-2253-43f4-a2e0-66f74fd8f77b · outbound

This paper cites SIAM Journal on Scientific Computing (2024).

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome SIAM Journal on Scientific Computing (2024)

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:57.365480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation caefad25-b222-4ccb-ad1e-a4ad878f5be9 · outbound

This paper cites an unresolved cited work.

Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome Unresolved cited work

Reference 2025

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:57.575650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 6bff3ac6-ad72-4390-a2ad-1d55dcffdcfe · inbound

Automated Galerkin time stepping in Irksome cites this paper.

Automated Galerkin time stepping in Irksome Automated Runge-Kutta-Nystr\"om time stepping for finite element methods in Irksome

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-04T14:39:57.517866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.