Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:17:24.555759Z
Paper Citation Record · LEDGER
New stable, explicit, first order method to solve the heat conduction equation
As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.09500.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
18 of 18 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d2ecccd3-b975-4f20-ba13-c02b7028c1eb · outbound
This paper cites The PDEs for real -life problems can rarely be solved analytically.
New stable, explicit, first order method to solve the heat conduction equation The PDEs for real -life problems can rarely be solved analytically
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.852593Z
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 a30ea34b-3e38-47a9-948d-a747976125f5 · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.837902Z
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 769fb4bc-12d2-4a86-bb92-bfbaf5ec9abc · outbound
This paper cites constant- neighbour method.
New stable, explicit, first order method to solve the heat conduction equation constant- neighbour method
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.822765Z
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 f4f3e4ec-314b-4446-be2d-5b5bfe482ce1 · outbound
This paper cites The analytical solution of eq.
New stable, explicit, first order method to solve the heat conduction equation The analytical solution of eq
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.808094Z
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 95a28cf5-f09f-4929-9958-746ca6ef308f · outbound
This paper cites It also implies that the process is easily parallelizable and even vectorizable.
New stable, explicit, first order method to solve the heat conduction equation It also implies that the process is easily parallelizable and even vectorizable
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.793224Z
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 bbdffa88-5074-4c50-a8fc-a33edd4bf9b8 · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.778527Z
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 a401354b-5784-4185-8e95-aea1dca78008 · outbound
This paper cites We performed numerical tests on several sys tems, but here we present only two different examples.
New stable, explicit, first order method to solve the heat conduction equation We performed numerical tests on several sys tems, but here we present only two different examples
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.764405Z
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 95085fda-c437-459c-9347-e01a1498c97b · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.748589Z
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 125c4e8f-e8e8-404a-86f3-af33e68ad2f9 · outbound
This paper cites constant-neighbour.
New stable, explicit, first order method to solve the heat conduction equation constant-neighbour
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.733306Z
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 951c4e85-b98a-4834-ad48-998d2281bd4b · outbound
This paper cites This method is explicit, unconditionally stable and first order in time.
New stable, explicit, first order method to solve the heat conduction equation This method is explicit, unconditionally stable and first order in time
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.718348Z
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 8c32be8a-125d-4522-9e67-9f00efb591d2 · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.702263Z
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 9ec5eb29-2ac3-421d-98e6-790cac529cd4 · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.687074Z
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 a10172af-d517-4145-bc33-35344f0cfd7e · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.669839Z
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 63d6e69f-bc80-4f22-8a28-8307923645be · outbound
This paper cites Hochbruck, M.
New stable, explicit, first order method to solve the heat conduction equation Hochbruck, M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.653401Z
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 2125f3ad-bc7e-4e39-80a0-2bd06605fcb1 · outbound
This paper cites R., McKee, S.
New stable, explicit, first order method to solve the heat conduction equation R., McKee, S
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.638527Z
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 805e9180-c884-4d97-964c-82d50d0ac31f · outbound
This paper cites an unresolved cited work.
New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:17:24.623185Z
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 1a615730-38e0-47b8-b002-e02b64f10b53 · outbound
This paper cites et al.: Numerical Solution Of Ordinary Differential Equations, Wiley, Chapter 9.3.
New stable, explicit, first order method to solve the heat conduction equation et al.: Numerical Solution Of Ordinary Differential Equations, Wiley, Chapter 9.3
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.608047Z
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 f74588fa-b499-43a5-9bf9-a09fb7cdd036 · outbound
This paper cites Constant Neighbour.
New stable, explicit, first order method to solve the heat conduction equation Constant Neighbour
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:17:24.590795Z
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.