Paper Citation Record · LEDGER

Bounds-constrained finite element approximation of time-dependent partial differential equations

As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2506.17464.

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

pith.paper-citation-record.v1
2506.17464 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:17:03.282432Z

measured 45 of 45 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 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

45 of 45 outbound references displayed

verified exact0
verified fuzzy32
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 66fd473d-d056-4861-b835-53010f29bdb1 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.989536Z

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 1c5c76ab-349b-4b4b-b0b2-34a4200a1e43 · outbound

This paper cites ParaView: An end-user tool for large data visualization.

Bounds-constrained finite element approximation of time-dependent partial differential equations ParaView: An end-user tool for large data visualization

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T19:17:02.869150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7442d47f-4a2f-40a6-b556-256600916a5d · outbound

This paper cites Arnold, Richard S.

Bounds-constrained finite element approximation of time-dependent partial differential equations Arnold, Richard S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.964002Z

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 a5f0ee4a-0e8a-4a4a-bf54-5201eb1b3613 · outbound

This paper cites Adams, Steven Benson, Jed Brown, Peter Brune, Kris Buschelman, Emil Constantinescu, Lisandro Dalcin, Alp Dener, Victor Eijkhout, Jacob Faibussowitsch, William D.

Bounds-constrained finite element approximation of time-dependent partial differential equations Adams, Steven Benson, Jed Brown, Peter Brune, Kris Buschelman, Emil Constantinescu, Lisandro Dalcin, Alp Dener, Victor Eijkhout, Jacob Faibussowitsch, William D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.950256Z

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 dd9adfa2-cbfc-426a-aff8-b453baa0a959 · outbound

This paper cites Gropp, Lois Curfman McInnes, and Barry F.

Bounds-constrained finite element approximation of time-dependent partial differential equations Gropp, Lois Curfman McInnes, and Barry F

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.934363Z

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 280ae660-aa9a-4b3e-84a4-833058dfc7d1 · outbound

This paper cites Barrenechea, Emmanuil H.

Bounds-constrained finite element approximation of time-dependent partial differential equations Barrenechea, Emmanuil H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.918099Z

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 706846d9-3ba4-43fc-97fb-b3946e836872 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.901969Z

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 1f9ac85b-9c3a-4e1b-a300-8db1910182c4 · outbound

This paper cites Positivity-preserving methods for ordinary differential equations.

Bounds-constrained finite element approximation of time-dependent partial differential equations Positivity-preserving methods for ordinary differential equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.886405Z

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 29135a4d-c439-450b-bc1c-7c3125f13b18 · outbound

This paper cites Conservation de la positivit´ e lors de la discr´ etisation des probl` emes d’´ evolution paraboliques.RAIRO.

Bounds-constrained finite element approximation of time-dependent partial differential equations Conservation de la positivit´ e lors de la discr´ etisation des probl` emes d’´ evolution paraboliques.RAIRO

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.871362Z

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 e063097a-e5f6-4058-84eb-e0a5f46831b6 · outbound

This paper cites A second-order, unconditionally positive, mass-conserving integration scheme 27 for biochemical systems.

Bounds-constrained finite element approximation of time-dependent partial differential equations A second-order, unconditionally positive, mass-conserving integration scheme 27 for biochemical systems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.856095Z

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 af87fbe6-3f3e-4e13-b4a4-66eec10efb74 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.840528Z

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 6bfa036c-ca47-4843-a481-c3ca5153fef4 · outbound

This paper cites Cahn and John E.

Bounds-constrained finite element approximation of time-dependent partial differential equations Cahn and John E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.825471Z

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 6bf42925-e33f-4352-9469-9c34b1203bc3 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.809934Z

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 7279f4eb-44ea-4feb-96fd-a58e2f96f3d3 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.794452Z

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 f91ae9b4-b2d1-4024-9c89-ccd3814fc1f4 · 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.

Bounds-constrained finite element approximation of time-dependent partial differential equations 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 15

Resolution: unresolved; no resolver link, observed 2026-08-15T19:17:03.153665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdfe317f-0028-416a-84c3-be7658107147 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.778988Z

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 8f26ca9a-7d90-4f91-a380-d9a0ddcab0cb · outbound

This paper cites Dahlquist.

Bounds-constrained finite element approximation of time-dependent partial differential equations Dahlquist

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.763963Z

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 b6fe000e-d459-4218-be55-ce8ed9e279d3 · outbound

This paper cites Dalcin, Rodrigo R.

Bounds-constrained finite element approximation of time-dependent partial differential equations Dalcin, Rodrigo R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.748571Z

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 9d826217-3bdb-4327-8541-f7ac72abccf9 · outbound

This paper cites On the Cahn-Hilliard equation with a logarithmic free energy.

Bounds-constrained finite element approximation of time-dependent partial differential equations On the Cahn-Hilliard equation with a logarithmic free energy

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.734103Z

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 97dcf0db-c53c-4206-82a3-67ba781aacf4 · outbound

This paper cites Ridgway Scott.

Bounds-constrained finite element approximation of time-dependent partial differential equations Ridgway Scott

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.719130Z

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 1357c7d0-a77d-48eb-8eac-9efa5683f2ad · outbound

This paper cites Farrell, Robert C.

Bounds-constrained finite element approximation of time-dependent partial differential equations Farrell, Robert C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.703578Z

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 5b13e83f-c224-4ed6-b23b-b795cdd3f7e9 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.688796Z

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 c2192aab-915d-49f3-8129-c54b5affb878 · outbound

This paper cites High order finite element calculations for the Cahn-Hilliard equation.

Bounds-constrained finite element approximation of time-dependent partial differential equations High order finite element calculations for the Cahn-Hilliard equation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.674097Z

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 5a9e92d8-6713-4f7f-8c54-9e95f69d82b5 · outbound

This paper cites Positivity of Runge–Kutta and diagonally split Runge– Kutta methods.

Bounds-constrained finite element approximation of time-dependent partial differential equations Positivity of Runge–Kutta and diagonally split Runge– Kutta methods

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.659989Z

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 994abe91-4479-49c6-8c36-1d1c1c241cc3 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.645677Z

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 2a3c87a3-9d8d-4782-ab79-e58f9175bded · outbound

This paper cites Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints.

Bounds-constrained finite element approximation of time-dependent partial differential equations Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T19:17:03.198736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e3f0a44-4617-43dd-96f7-dcc855111961 · outbound

This paper cites an unresolved cited work.

Bounds-constrained finite element approximation of time-dependent partial differential equations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:17:03.629828Z

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 d34e0c61-4534-4b9d-be90-dea37b3f54ca · outbound

This paper cites Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods.

Bounds-constrained finite element approximation of time-dependent partial differential equations Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T19:17:03.207436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5779918-734a-4f64-ae08-2815654302cb · outbound

This paper cites Kirby and Lawrence Mitchell.

Bounds-constrained finite element approximation of time-dependent partial differential equations Kirby and Lawrence Mitchell

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.614686Z

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 a56beeca-4233-490d-924b-9d5da0cc985a · outbound

This paper cites Kirby and Daniel Shapero.

Bounds-constrained finite element approximation of time-dependent partial differential equations Kirby and Daniel Shapero

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.600558Z

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 3d85600a-9f9d-4ff4-bd2e-11cc4add08ae · outbound

This paper cites Schumaker.

Bounds-constrained finite element approximation of time-dependent partial differential equations Schumaker

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.586134Z

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 a8af2e34-c64e-48e6-8515-34c7c7753aa3 · outbound

This paper cites Lasserre.

Bounds-constrained finite element approximation of time-dependent partial differential equations Lasserre

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.570481Z

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 bdd4d220-b892-4765-90de-fbb3069d5a0f · outbound

This paper cites Oscillation absorption finite element methods for convection–diffusion problems.

Bounds-constrained finite element approximation of time-dependent partial differential equations Oscillation absorption finite element methods for convection–diffusion problems

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.556629Z

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 88041fe0-77ce-47fb-8892-4fbf6dea46a4 · outbound

This paper cites A positivity- preserving, energy stable BDF2 scheme with variable steps for the Cahn– Hilliard equation with logarithmic potential.

Bounds-constrained finite element approximation of time-dependent partial differential equations A positivity- preserving, energy stable BDF2 scheme with variable steps for the Cahn– Hilliard equation with logarithmic potential

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.541621Z

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 77d89866-727f-4000-8555-3c347c9a2019 · outbound

This paper cites Squared functional systems and optimization problems.

Bounds-constrained finite element approximation of time-dependent partial differential equations Squared functional systems and optimization problems

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.527478Z

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 a2840bdd-712d-4311-ae02-da9689cd5aba · outbound

This paper cites Positivity preserving finite element approximation.

Bounds-constrained finite element approximation of time-dependent partial differential equations Positivity preserving finite element approximation

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.510993Z

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 b31a9b66-f02e-4341-a8d6-334ce93e945a · outbound

This paper cites Convergence of Runge– Kutta methods for nonlinear parabolic equations.

Bounds-constrained finite element approximation of time-dependent partial differential equations Convergence of Runge– Kutta methods for nonlinear parabolic equations

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.495542Z

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 2a52bb8e-b449-4242-983f-b37e8fd4d9bb · outbound

This paper cites Stage-parallel fully implicit Runge– Kutta solvers for discontinuous Galerkin fluid simulations.Journal of Com- putational Physics, 335:700–717, 2017.

Bounds-constrained finite element approximation of time-dependent partial differential equations Stage-parallel fully implicit Runge– Kutta solvers for discontinuous Galerkin fluid simulations.Journal of Com- putational Physics, 335:700–717, 2017

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.479884Z

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 043fe11a-1f20-4dc4-9eaa-758fa32ec619 · outbound

This paper cites Ham, Lawrence Mitchell, Michael Lange, Fabio Luporini, Andrew T.

Bounds-constrained finite element approximation of time-dependent partial differential equations Ham, Lawrence Mitchell, Michael Lange, Fabio Luporini, Andrew T

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.463923Z

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 ac0f68d4-6882-4aa7-be4f-9506099e6dbf · outbound

This paper cites Zweidimensionale parabolische randwertaufgaben als grenzfall eindimensionaler randwertaufgaben.

Bounds-constrained finite element approximation of time-dependent partial differential equations Zweidimensionale parabolische randwertaufgaben als grenzfall eindimensionaler randwertaufgaben

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.447780Z

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 a4c92138-988e-4467-a392-a085d1352bbb · outbound

This paper cites Southworth, Oliver Krzysik, and Will Pazner.

Bounds-constrained finite element approximation of time-dependent partial differential equations Southworth, Oliver Krzysik, and Will Pazner

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.431082Z

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 6308912a-fb6a-4432-b173-d955595f5dce · outbound

This paper cites Southworth, Oliver Krzysik, Will Pazner, and Hans De Sterck.

Bounds-constrained finite element approximation of time-dependent partial differential equations Southworth, Oliver Krzysik, Will Pazner, and Hans De Sterck

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.415771Z

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 10f34858-1598-41ce-90f4-b130c8069a96 · outbound

This paper cites Staff, Kent-Andre Mardal, and Trygve K.

Bounds-constrained finite element approximation of time-dependent partial differential equations Staff, Kent-Andre Mardal, and Trygve K

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.401497Z

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 6d162355-c6f6-49ff-8040-e1a1f9ef6ac7 · outbound

This paper cites Van Lent and Stefan Vandewalle.

Bounds-constrained finite element approximation of time-dependent partial differential equations Van Lent and Stefan Vandewalle

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.386494Z

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 d5178444-e817-4725-bf9c-7b61fe567736 · outbound

This paper cites Solving ordinary differential equations II.

Bounds-constrained finite element approximation of time-dependent partial differential equations Solving ordinary differential equations II

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:17:03.369560Z

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

No inbound Pith citation observations are available.