Pith. sign in

Paper Citation Record · LEDGER

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration

As of 7 August 2026, this Paper Citation Record lists 100 of 134 outbound references and 1 inbound Pith citation observation for arXiv:2507.04991.

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

pith.paper-citation-record.v1
2507.04991 v2

Coverage vector

measured 100 of 134 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:42:44.243042Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T21:39:57.247741Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T21:41:17.601011Z

Reference resolution

100 of 134 outbound references displayed

  • verified exact20
  • verified fuzzy0
  • unresolved60
  • parse uncertain0
  • malformed identifier20
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8eb5cef-abe9-4a9d-ba9e-5dd98e2f6659 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.145740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.145740Z digest=sha256:f508ae1031a0fc789b0e1d607ad0295b978da957824f2b82d7e144f03d463b7d

Observation 62ac8567-8049-42e6-a279-ff73341c9c8c · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.151320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.151320Z digest=sha256:ea5954d18e0b40416b4065fc73dda253266be9fa81a2917707c322e3c69b2957

Observation 4eb5123d-4a68-4a40-b1ce-b05bf76c7127 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.156371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.156371Z digest=sha256:83da404b5db08902c0b9c3fff9324b08fd89b6274cd32df51bdad89ecee71344

Observation b33ba02a-c923-4228-9293-f710101425a5 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.161411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.161411Z digest=sha256:a9116e923b73dcbb88a3404ba8aeee88eb6d35050413352fc2acf1f5c534d2b3

Observation a6ea87b7-94be-426f-bfdd-5162e689927d · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 5

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.166914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.166914Z digest=sha256:1204c43aa1f4896dd66920899f3f810877abc816cab27ee1397f5bed497faf03

Observation cfe5071c-6559-4e8b-bc45-6a37b6aee5c0 · outbound

This paper cites Courant, K.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Courant, K

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.171950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.171950Z digest=sha256:4529eb01bda33595f474a8aaef0c18f2667246a6c0a1de5c249535ffeb1130c6

Observation 1b1d8877-b859-4647-a187-7d100f962d19 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.177655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.177655Z digest=sha256:4e90c25ede318ab428513cf2c99e947444c62204bc17d58550a8e06bb3176e8b

Observation 933ebaac-dd41-4e97-bcba-e5c06d35d434 · outbound

This paper cites Sj¨ ogreen, H.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Sj¨ ogreen, H

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T19:42:53.381901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.182895Z digest=sha256:e29f67c0b0fb2f64abd92bb98ed8c94b1a9168369f569ab750eefd0fbb16178e

Observation c14c8859-5165-47f0-b52d-8a6105f2909e · outbound

This paper cites Manzanero, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Manzanero, G

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.188612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.188612Z digest=sha256:daf9b339661df0814379c7fd57c6665ff9e0fd3f2563a8f33ab059c5c983b024

Observation ebc73f75-e3b3-4060-b570-266bd3a58021 · outbound

This paper cites Rojas, R.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Rojas, R

Reference 10

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.193070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.193070Z digest=sha256:99dbe320df9fd74afdf4f05e134f25ae3f60ebe48c560a244eaffe46f8301b1f

Observation aae69766-7c7c-4b69-bb38-ebbc413137a2 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-06T19:42:53.364793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.197750Z digest=sha256:d6cf90366a5c94ebefdfbf76a0af773b060eed02a0791b61592f2ff17aef9677

Observation e5fdba57-85d8-466b-a025-f0962c623317 · outbound

This paper cites Tadmor, Entropy conservative finite element schemes, in: T.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Tadmor, Entropy conservative finite element schemes, in: T

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.202576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.202576Z digest=sha256:54d97f5c56683d360ab91cb5728d7b28efc1f72327176a634f90b98c8a8894ff

Observation a9091c6f-fdfd-45f1-a254-e5c4abde4bcf · outbound

This paper cites Tadmor, The numerical viscosity of entropy stable schemes for systems of con- servation laws.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Tadmor, The numerical viscosity of entropy stable schemes for systems of con- servation laws

Reference 13

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.207700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.207700Z digest=sha256:73e1f49e733c615ebd314649341154974e06d5dcea0ab1bc156b9203855c6cfe

Observation 6f756856-c0b1-43c2-b8a7-6bd7d63e9ecd · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.212031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.212031Z digest=sha256:4fbd269ebf0fdb9e98c76298babb09efc304cdcc671d814b8e483d83e93447c1

Observation e2f8fb4d-7066-4186-ab78-5f1227db6557 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.216443Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.216443Z digest=sha256:f35abce05a2c10cb88670b0f23d3b65e7b9db3cb7c837cebb5677c7914502450

Observation 0383595c-1d61-4276-86da-fa4e24aca7c0 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.221140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.221140Z digest=sha256:734c1f83d0b69022e101613e4166326d523dd4c8e996ba9baee3e7c4fefcf07b

Observation 33eaf226-e51b-47c0-9c52-69311593b1fc · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.226348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.226348Z digest=sha256:a1d7b4ec752c054093f40b91cf418357562558290f704fd3425bb9851d64b7ac

Observation ba5bd5ae-bf3a-4116-a0da-8be1ae6033e5 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.231347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.231347Z digest=sha256:06dc94b833dfe7a5dcc78afe0e844294c07cb8473ac865c02234ad24a85d167c

Observation 751acd49-a67a-43f9-8f9f-35e37aee543a · outbound

This paper cites Black, A conservative spectral element method for the approximation of compressible fluid flow, Kybernetika 35 (1999) 133–146.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Black, A conservative spectral element method for the approximation of compressible fluid flow, Kybernetika 35 (1999) 133–146

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.236650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.236650Z digest=sha256:7993b39210fb87d03a78bb199af542ce5282836cb6ec3639bc76912816ec139d

Observation a87becd8-c1fb-450f-8ebb-d6b21144d3d0 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.240949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.240949Z digest=sha256:a7652f8b37496f2c8de995e0d2f29e768a9b8595ec98da6eb645cd61484b4497

Observation c626514b-3121-4807-8905-02e2e254de68 · outbound

This paper cites Chen, C.-W.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Chen, C.-W

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.245429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.245429Z digest=sha256:9a073cf3ec950559a7407a6e1c7bf4c6d2950b9b8ca8909ee54a0715646f380b

Observation 5b6c80ef-151a-42ea-9d2a-4d653606c67b · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.254371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.254371Z digest=sha256:198dea5ad2a920a2f88504c0697bb7397e4acc993634373eb795b9fd43c6971c

Observation 6c091eaa-f2a2-48e0-93e3-6c529bf92585 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.258881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.258881Z digest=sha256:09acba9fb64823278d3d66bbd734c563cefb48c71c4585bdaa5deeb2fc32c088

Observation c9da95c2-363b-4278-91e0-b9e8838c448b · outbound

This paper cites Ranocha, Comparison of some entropy conservative numerical fluxes for the Euler equations, Journal of Scientific Computing 76 (2018) 216–242.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Ranocha, Comparison of some entropy conservative numerical fluxes for the Euler equations, Journal of Scientific Computing 76 (2018) 216–242

Reference 25

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.263689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.263689Z digest=sha256:9635c9fc403688ebcc939689f2cc7e2e6a322ad6464197b8e431fc5cc9c9143d

Observation a18660cd-48ed-4919-aa83-16ff22798e23 · outbound

This paper cites Ranocha, Entropy conserving and kinetic energy preserving numerical methods for the euler equations using summation-by-parts operators, in: S.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Ranocha, Entropy conserving and kinetic energy preserving numerical methods for the euler equations using summation-by-parts operators, in: S

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.268490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.268490Z digest=sha256:828007672f9c943c98c4b4b366cbd04e61be588873306f09db0725bc0157ca80

Observation 435bfd29-f868-4f05-a1e9-52e6fc684bb6 · outbound

This paper cites Tadmor, Entropy stability theory for difference approximations of nonlinear conser- vation laws and related time-dependent problems, Acta Numerica 12 (2003) 451–512.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Tadmor, Entropy stability theory for difference approximations of nonlinear conser- vation laws and related time-dependent problems, Acta Numerica 12 (2003) 451–512

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.273609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.273609Z digest=sha256:1f232e8368d312e08e73143ef02562acdea776ed53111b6d186ff07673e5bdba

Observation 247d7c63-3cb9-4004-9c7e-f4e8398f8fd6 · outbound

This paper cites Hiltebrand, S.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Hiltebrand, S

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.279116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.279116Z digest=sha256:273bbd5786723b5f8e400180e6276090d72db2e162f29b184588c58d8f44e90c

Observation b6039ead-3df7-4aab-95e1-d3ba8bfaae56 · outbound

This paper cites Friedrich, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Friedrich, G

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.284027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.284027Z digest=sha256:442d33a3a8c24c78d78d1473c7ece2a098aeafe1d435acfd53a70510b115057f

Observation db03aa31-ac3f-4469-b32e-1dea8f9a72fe · outbound

This paper cites Gaburro, P.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Gaburro, P

Reference 30

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.288715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.288715Z digest=sha256:053546f48274e49735cb6b27a9ae0332d8471f2890e9a9370f07b7c291f39d16

Observation 45b07130-b26d-47f2-8927-d9ab14c88d20 · outbound

This paper cites Hairer, C.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Hairer, C

Reference 32

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.297913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.297913Z digest=sha256:98f71ddf4ff2d6a34f41c8ba4bef7f955d006c596b24f92af81de858a6199be6

Observation 84b81df2-458d-4277-83b8-61bbb279c43a · outbound

This paper cites Calvo, M.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Calvo, M

Reference 33

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.302644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.302644Z digest=sha256:19cba7e2ae12db421fae8357577880fab4cf799ffc9e9f57d2dc13056948fdb9

Observation 1888a25f-7747-46a7-9973-59048d7b4c76 · outbound

This paper cites Kojima, Invariants preserving schemes based on explicit Runge–Kutta methods, BIT Numerical Mathematics 56 (2016) 1317–1337.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Kojima, Invariants preserving schemes based on explicit Runge–Kutta methods, BIT Numerical Mathematics 56 (2016) 1317–1337

Reference 34

Resolution
verified exact
doi, observed 2026-08-06T19:42:53.201877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.307374Z digest=sha256:d6f1be80ff7483fd49a7c12a81d3edc0949e60279479d440cd32905a3dc1d573

Observation 8bc1039d-a9b8-4669-b65c-a999db661143 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.312427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.312427Z digest=sha256:35bf12205d76a8ec7da93614c4962a87093477241dbf99a65662d1486ad1873c

Observation 2acdfbe0-bd9c-4c9a-8072-cf04461970b0 · outbound

This paper cites Calvo, D.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Calvo, D

Reference 36

Resolution
verified exact
doi, observed 2026-08-06T19:42:52.994155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.317807Z digest=sha256:fe3b2c3ca94bfef0115eb98f637c806cf7fd09fd7a428a83058d0695a68f2e65

Observation 501c92a6-aef8-4560-8b6c-9627f421d714 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 37

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.322448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.322448Z digest=sha256:77275e0deb7ae469b96d4889071f4188ec3304dc8386a4d378c1e7dba41c0597

Observation 350761fe-d21b-43b9-ab8d-2d8cc5cf81b0 · outbound

This paper cites Ranocha, M.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Ranocha, M

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.327772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.327772Z digest=sha256:1831ee57ce911e4acce6c4799e698a2122d68f474f49c7263a6d9805b8349286

Observation 0b195538-717a-4c3d-8d88-47623f1356f5 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.332946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.332946Z digest=sha256:e2ff636f2523a2f772ddddae4d2fd800b29fe528d5dfcfc6eb9323840e2c1e86

Observation 3dfdbbbb-bcd0-4ffa-9ea2-58fabecedb84 · outbound

This paper cites Ranocha, L.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Ranocha, L

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.338114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.338114Z digest=sha256:6e2c631f734da0b82d01ab40ce6e2c8b3688c1d9b478710df039b8953247a5c1

Observation 6bd6fbce-5621-4290-874e-8b60b8055e1d · outbound

This paper cites Ranocha, L.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Ranocha, L

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.342828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.342828Z digest=sha256:691104d304cfda892a13f51b7a40ece086c3a2e57661fcc339bcb527bf84b097

Observation 0e008e70-0ba4-4e71-9ebb-54860c78ec94 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.347623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.347623Z digest=sha256:964d71426de8b6554135662693b3e8783aef45f8550378cb3582c54c2eec0518

Observation e2eb9719-f785-4437-a85d-1e09b61b0dbf · outbound

This paper cites Sanz-Serna, V.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Sanz-Serna, V

Reference 43

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.352560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.352560Z digest=sha256:749142ad054c927706fe02e07cac7de5793f8c7b2d44d4ce1b4dbab47b1540f1

Observation 1be50592-ae38-4835-aceb-b3b8b48c5047 · outbound

This paper cites Dekker, J.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Dekker, J

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.357967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.357967Z digest=sha256:704bc0ec616a22b6a0107509aca177d464661828ed4e446257ac8d9c2a505558

Observation 7659cffd-dbaa-46e3-b97d-2d500fc075b8 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 45

Resolution
verified exact
doi, observed 2026-08-06T19:42:52.806716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.362856Z digest=sha256:5134da59280708fedc9aac51abaacb3dcc8904579e2cdfd9dbd6abb1b08d7ddb

Observation 46be9034-6acd-48f1-91c0-9e9c3fb3c06d · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 46

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.368085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.368085Z digest=sha256:459221e283018d69edc5b249037bfac5e4611fcc926a17895daef733a226f80f

Observation 89d4f69d-1a66-4142-86f5-aab39804f2c9 · outbound

This paper cites Doehring, L.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Doehring, L

Reference 47

Resolution
verified exact
doi, observed 2026-08-06T19:42:52.591471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.373355Z digest=sha256:6d71152b99de683c41d991975602e2ac7040750c5b50acd043a480b1fc05e884

Observation 012c2e6f-2dcc-419e-82cf-4cc4506ee6f2 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 48

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.378090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.378090Z digest=sha256:4e0ea507d3581eaccfea87119925ad87a8d4229b8267cfd308c146e5ece67d23

Observation be289166-e1f8-4c48-a634-4dc6e4828952 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.383669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.383669Z digest=sha256:6e81293b76224f21964309fa7f6eb6c8e11c6b9e26e4b6c349b2b6598e3ba7f2

Observation 9dd5a4be-6413-401d-b679-f5c24cd95e6f · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 50

Resolution
verified exact
doi, observed 2026-08-06T19:42:52.296081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.388813Z digest=sha256:9f418980665768ce66a4bced939524547e0dc26018d2bb5a29831afde13fab70

Observation 13c8309f-8bff-4246-88b1-9222568be907 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.396653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.396653Z digest=sha256:e4413cdcc474915b375f556d4401bd6694cfaca7c390a8f8b0a91f6c32bec339

Observation a485ab8b-ef43-4f4d-a173-9570c3636790 · outbound

This paper cites Rentrop, Partitioned Runge-Kutta methods with stiffness detection and stepsize control, Numerische Mathematik 47 (1985) 545–564.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Rentrop, Partitioned Runge-Kutta methods with stiffness detection and stepsize control, Numerische Mathematik 47 (1985) 545–564

Reference 52

Resolution
verified exact
doi, observed 2026-08-06T19:42:52.055556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.405948Z digest=sha256:2e1acd28fa951b1c2350b83c29a2817cb9bf4af0ac40b9139a46440dfbb781a4

Observation 002e227c-1000-4db5-8bc6-bcc809b8cea4 · outbound

This paper cites Bruder, K.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Bruder, K

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.416004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.416004Z digest=sha256:2eedd4a467043502826a8f5cc84efba125b5337754698196fc602411811a0aa9

Observation d4975db6-585f-4ff7-bc85-d9929812996d · outbound

This paper cites G¨ unther, A.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration G¨ unther, A

Reference 54

Resolution
verified exact
doi, observed 2026-08-06T19:42:51.831791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.425354Z digest=sha256:a566a2d7076c7a5673dbb9cb072972c1fb3c5f236ebf416bee97fbaff0bde143

Observation f5508e12-9ed3-485c-965f-a69e8eaab782 · outbound

This paper cites Hairer, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Hairer, G

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.433564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.433564Z digest=sha256:3b96abc0f9d5e499dd8b51fd1075ec604cf5540da250295b4326460379b4ae8d

Observation a93a2f80-7745-4b97-935c-b005210cac00 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 56

Resolution
verified exact
doi, observed 2026-08-06T19:42:51.618977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.443737Z digest=sha256:5e4e6958ae11a2f171188a3517f3796f1c2efb20df368e17ce3cb4524cca11f2

Observation b5c4da38-ac10-4fb3-99f4-011813bff0bd · outbound

This paper cites Dawson, R.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Dawson, R

Reference 57

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.458133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.458133Z digest=sha256:75e78b45b6853c44553253011656dde4e7c651c5b01d8497fe22607e314055c4

Observation b890fc45-c882-4178-9ab8-5cb5f20f24fb · outbound

This paper cites L¨ orcher, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration L¨ orcher, G

Reference 58

Resolution
verified exact
doi, observed 2026-08-06T19:42:51.437334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.467360Z digest=sha256:99f064a62daf87292091077fb4f40af1db649f6bf8c8cdb923f7a994343b2b27

Observation e45d0251-db85-4f03-a886-3e0056b6f774 · outbound

This paper cites Photonic integrated quantum key distribution receiver for multiple users.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Photonic integrated quantum key distribution receiver for multiple users

Reference 59

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.477135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.477135Z digest=sha256:194d9471a5c2b4730828279eceffc49edf173d149a1f70ebaa583dcb5d78f360

Observation 2b0c6e29-67fc-4357-8241-dc06e9c6e008 · outbound

This paper cites Krivodonova, An efficient local time-stepping scheme for solution of nonlinear conserva- tion laws, Journal of Computational Physics 229 (2010) 8537–8551.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Krivodonova, An efficient local time-stepping scheme for solution of nonlinear conserva- tion laws, Journal of Computational Physics 229 (2010) 8537–8551

Reference 60

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.487202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.487202Z digest=sha256:7f6374125601ae25f19603c2e5416cdcabaf9e45fefa973a4b8aee34192ceeea

Observation de34c891-dede-4420-945c-933222908c6c · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.495878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.495878Z digest=sha256:f85b9dfa07d818ea08192bfdf70a7cd4afe771bdcc1818a413f9ce854c27278f

Observation 70bbd0f5-3d12-43e8-94fe-6ae85a9e5982 · outbound

This paper cites Luther, Y.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Luther, Y

Reference 62

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.503959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.503959Z digest=sha256:a0b95f0cd28af1bc3e67a753426524ef25be967b10aaa2c44584b7980be15107

Observation 33c53130-68b7-401a-8a0d-9a0f38493d3b · outbound

This paper cites Ketcheson, A.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Ketcheson, A

Reference 63

Resolution
verified exact
doi, observed 2026-08-06T19:42:51.212142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.512178Z digest=sha256:cb9f26f9aa5b4369ced7ab86eb8666fe41491c66e3462961d2671ea03b576065

Observation cd6f27ef-94d5-46a4-bcc7-bf57617f6585 · outbound

This paper cites Doehring, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Doehring, G

Reference 64

Resolution
verified exact
doi, observed 2026-08-06T19:42:50.962915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.520060Z digest=sha256:4cfdca3fa3aefce054b7b434ee31587718c9649bbd34a763724d7552bf574e90

Observation 419b09b1-b91c-44cc-b922-0cc7c7403baf · outbound

This paper cites Wanner, E.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Wanner, E

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.528117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.528117Z digest=sha256:2d11a9cfead348444d140c3c106a47fd1be04408b6c738c3aacb64c2275206e5

Observation 62667486-35f8-4ae8-930e-435419cb08b2 · outbound

This paper cites Rusanov, The calculation of the interaction of non-stationary shock waves and obstacles, USSR Computational Mathematics and Mathematical Physics 1 (1962) 304–320.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Rusanov, The calculation of the interaction of non-stationary shock waves and obstacles, USSR Computational Mathematics and Mathematical Physics 1 (1962) 304–320

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.536417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.536417Z digest=sha256:8ef74c518fd3a1e18c19284ad45bd83e9e38937ff4db29ee423b49af86bd2220

Observation 0ef0cf76-d109-497e-9b42-bee53b0a6c2b · outbound

This paper cites Hundsdorfer, D.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Hundsdorfer, D

Reference 67

Resolution
verified exact
doi, observed 2026-08-06T19:42:50.629193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.544743Z digest=sha256:ade077ef4acac8e9c38a55db4ef85f7593d71c79556c1f0d736c78308998c14a

Observation 33c0f650-63b3-42cf-ba74-d23463c481c6 · outbound

This paper cites Doehring, M.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Doehring, M

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.553750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.553750Z digest=sha256:b818f3d221eae99e57713ef7b3791a6b790f6705031e01bb3fbc9833dc22a8cb

Observation dbaceb83-7687-4e4f-b56a-b3c7fcf7f17b · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 69

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.565535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.565535Z digest=sha256:c269b18541228478a543c3027207b4c9512468ec96c0a2f26b8f79b5b385aeba

Observation a0b5eaea-24ec-446c-95bd-01218c16b1fd · outbound

This paper cites Gottlieb, C.-W.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Gottlieb, C.-W

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.573718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.573718Z digest=sha256:e2e5e3f925a270e00f09383c32af851602bc5603620b74379a2e1f339640266c

Observation efbbb1f4-d643-4b6d-882d-4541df1d68fb · outbound

This paper cites Gottlieb, C.-W.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Gottlieb, C.-W

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.582459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.582459Z digest=sha256:1f6fb8c5b4df4a9468e353ed7ca452cf68f6b7945faa36e07868e08710a99458

Observation 6fc0ab22-2d81-4f68-8582-882c12d4971b · outbound

This paper cites Forth, A second order accurate, space-time limited, BDF scheme for the linear advection equation, in: E.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Forth, A second order accurate, space-time limited, BDF scheme for the linear advection equation, in: E

Reference 72

Resolution
verified exact
doi, observed 2026-08-06T19:42:50.385757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.592868Z digest=sha256:83edf57ba6241d7e0a183301fc6da23af97231334c0715dcb87c440bace917ca

Observation 8210e03d-83c9-4d9e-8aa8-e5ef8912ca6d · outbound

This paper cites Duraisamy, J.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Duraisamy, J

Reference 73

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:41.603314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.603314Z digest=sha256:2fbc475b32ffd00da6812ab7cd7e037150940374a1f47fcd0de0b0c6be735c73

Observation 825142aa-38af-47f4-807d-6bdfd4624124 · outbound

This paper cites Duraisamy, J.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Duraisamy, J

Reference 74

Resolution
verified exact
doi, observed 2026-08-06T19:42:50.179919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.641839Z digest=sha256:5809e4137f2566bb5d42e16a7f20e78697734a4332d20d8d5bea488de0516a1e

Observation 5eff0104-6c85-4730-b5c2-feb52428a3e1 · outbound

This paper cites Arbogast, C.-S.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Arbogast, C.-S

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:41.728297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:41.728297Z digest=sha256:f6866ec3712974c8a4ded3ef0db21a26b62d4bf855e533969a479d1b1ed79ea7

Observation 854788f6-901c-4ebb-b6d9-827b19f55f42 · outbound

This paper cites Puppo, M.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Puppo, M

Reference 76

Resolution
verified exact
doi, observed 2026-08-06T19:42:49.927796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.826102Z digest=sha256:63db9c2152bbbf46026e28d09337a4c45d5f2ad57b8d2a95fbd902837d16c29a

Observation 05eae9cf-c55a-4bd3-acfa-5539c507624b · outbound

This paper cites Quinpi: Integrating stiff hyperbolic systems with implicit high order finite volume schemes.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Quinpi: Integrating stiff hyperbolic systems with implicit high order finite volume schemes

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:42:49.674944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:41.893123Z digest=sha256:fc47f97b5815d04ebbce44b0f9978ac61b46a7d331b310bc739d66fa944fea20

Observation 4f8f88e5-9bc5-4102-a5d3-89cbf0fd9793 · outbound

This paper cites Harten, High resolution schemes for hyperbolic conservation laws, Journal of Compu- tational Physics 135 (1997) 260–278.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Harten, High resolution schemes for hyperbolic conservation laws, Journal of Compu- tational Physics 135 (1997) 260–278

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.008317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.008317Z digest=sha256:1b767c2c55f49314bba1205ee68bde93fa6fa188621e13ebd0834d5288c2a209

Observation 1093e7e2-95ed-4727-a215-2706390701b8 · outbound

This paper cites A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.070908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.070908Z digest=sha256:f92bc043194f44d7a2f03a684e5422786090f3e2ae522ed89433afe008f8be63

Observation 4860e2a9-3504-42b3-9c35-8673408a2056 · outbound

This paper cites Einfeldt, On Godunov-type methods for gas dynamics, SIAM Journal on Numerical Analysis 25 (1988) 294–318.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Einfeldt, On Godunov-type methods for gas dynamics, SIAM Journal on Numerical Analysis 25 (1988) 294–318

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.137793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.137793Z digest=sha256:eda49f93b6b349c76253d3f4bd29c4d0c1e9b8d99f72d8e3e68446af7d702392

Observation 039e25e7-29b6-4cbe-817a-2abb2f408ef4 · outbound

This paper cites Hennemann, A.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Hennemann, A

Reference 81

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:42.255057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.255057Z digest=sha256:0203b20d521409bdd418a2109e3138b0921a39d0e433db5be9030716dccebd76

Observation bd35061c-0ec6-4c32-88a9-35e06beafa3f · outbound

This paper cites Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.364517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.364517Z digest=sha256:08ba7fc24f3b2edf9ee865305fad31b73a2a00a1a74f2508ed0d033f213c187e

Observation 09fefcb5-4f9e-4f22-8eb4-6723f65a6103 · outbound

This paper cites Schlottke-Lakemper, A.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Schlottke-Lakemper, A

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.438616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.438616Z digest=sha256:1b44e3323dce46a464ec12d1b50d5533354a3aad634dfdcd05fe1b4b8787366c

Observation 3c4f3c3b-7e89-42a2-9bb1-0fe83ecb50d6 · outbound

This paper cites Schlottke-Lakemper, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Schlottke-Lakemper, G

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.508263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.508263Z digest=sha256:7d89627fc8ee7184c3d85b9075782aa48e3e75c3526dc2e6074dc0a0c5846a03

Observation f18c04a1-8241-4d74-92c5-03fdfdd68db8 · outbound

This paper cites Bezanson, A.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Bezanson, A

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.588988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.588988Z digest=sha256:bba930d8e41d5185e4cca48e35acdd441086a689d510dd3f603347f17d1c6548

Observation 72357503-c4f1-46db-93a5-caa0cea488fc · outbound

This paper cites Doehring, H.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Doehring, H

Reference 86

Resolution
verified exact
doi, observed 2026-08-06T19:42:49.388947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:42.663009Z digest=sha256:aa0bf9d43eeff9048730cb0ffa2a861f415c9257167740a9bc95c27b714be9ba

Observation 5397c56a-bada-4136-a4f4-50d266de8904 · outbound

This paper cites Hindenlang, G.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Hindenlang, G

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.761936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.761936Z digest=sha256:a675a0baca5c3941cf6dc7caa391159570e55506e83f27f68c4b89d4a2aee1ff

Observation 5c34966e-a79f-4de2-b8d6-c342da1d15ea · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.830028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.830028Z digest=sha256:f6508df99ae25c159022b614158338727ffac8d1c089f8ceda091ddca61c7446

Observation a19e8bcb-4a64-437f-b59f-f1e65a967f2b · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:42.938736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:42.938736Z digest=sha256:c1c2759f8da002ccb7a035fe8ba5d34dc3b566150d560c7cffaf830ae1e28d28

Observation d2c8099e-4954-4247-aa30-8e949786f584 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.009913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.009913Z digest=sha256:f1074a853429538fdfa89f80a66102966f8c4ff85ec8aaba5ce1082d6445cfb4

Observation 80fae297-c681-46df-aca7-540117e88bd0 · outbound

This paper cites Rackauckas, Q.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Rackauckas, Q

Reference 91

Resolution
malformed identifier
doi_truncated, observed 2026-08-06T19:42:49.273953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:43.095875Z digest=sha256:b06cfd82b66d9f06a659038e69aaabd6c98220c1dbabfeb206189276a0a1c7cd

Observation aefd17d6-97ac-4974-a753-6f971d402498 · outbound

This paper cites Becker, Stosswelle und Detonation, Zeitschrift f¨ ur Physik 8 (1922) 321–.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Becker, Stosswelle und Detonation, Zeitschrift f¨ ur Physik 8 (1922) 321–

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.202589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.202589Z digest=sha256:123dfa320a254fadea3d94959a14cf1f217c69721e5283f1612a88c6252f3591

Observation 7e0ef208-f280-4f7a-a307-16eed0f3b801 · outbound

This paper cites Morduchow, P.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Morduchow, P

Reference 93

Resolution
verified exact
doi, observed 2026-08-06T19:42:49.180139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:42:43.411373Z digest=sha256:4923d79a7cf754f6c92dd976c5a454af6482d423336b5971e949ef1283343c5a

Observation bcf9e358-b1f2-4aa8-9294-537eab87d2fd · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 94

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:42:43.520079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.520079Z digest=sha256:ebcc06dec1d4fcdb324e9fac26fd3d6921e7c55a5523cdc2cc026b022f818071

Observation 7d234b05-c1be-409f-9f26-de34c0bbb958 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.589195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.589195Z digest=sha256:2593bfb0f8e94ffef19fca3517ff7cbd2a501e8538bf25a73811cd29497345f1

Observation b7249cde-b3fc-40a0-a0f2-674f60ec5dcb · outbound

This paper cites Dedner, F.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Dedner, F

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.692857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.692857Z digest=sha256:e4a7bcc23fa1fe89700dba37c7b030095c551b3ef7815d10995fafa02651cde0

Observation bbd01a58-55e4-407e-ae15-0b300ce36f4c · outbound

This paper cites Derigs, A.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Derigs, A

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.760419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.760419Z digest=sha256:a44be8ac4c51eab963903d7e330a05ecda80cc2e806f2f6100040a3f9291831f

Observation a7096dc1-35e2-4363-a816-8d5f37ffc128 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.869062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.869062Z digest=sha256:f1bbb857d581fbe9de83341d9a6ef81f564e737ca2e8e3c1b049161518ac1b16

Observation 4a1a8c6b-c018-4618-b689-3293db3996a3 · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:43.947429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:43.947429Z digest=sha256:07e7c893382c96d7ea4c2e41a7402fb874a9811d72f137e76e212c2b1a6c9130

Observation e8b2f7e2-9847-47c5-99f6-fd978f3fee1d · outbound

This paper cites Bassi, S.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Bassi, S

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:44.046992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:44.046992Z digest=sha256:cc62fbbcc9111890b9679cdb25f376ee2b7caacccb15933fa54da316ff2f33ab

Observation ed817595-7b5b-465f-9608-4dedd07f503d · outbound

This paper cites an unresolved cited work.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Unresolved cited work

Reference 101

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:44.131666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:44.131666Z digest=sha256:f6dc3227b4116cf61030eab219715cfd87760a5cabf5e312c6c5cb276643743e

Observation 1fad819f-06dd-448c-8d1c-35f003846411 · outbound

This paper cites Cockburn, C.-W.

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration Cockburn, C.-W

Reference 102

Resolution
unresolved
no resolver link, observed 2026-08-06T19:42:44.243042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:42:44.243042Z digest=sha256:e8c7e9b0985727700da8f0e50d1a68ad8febf1bc07ca6abf6f891d5179a3f5e1

Pith citing papers

Observation 64d9e810-b9ad-4b1d-99b3-4ee3c3d9e799 · inbound

Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schr\"odinger equations cites this paper.

Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schr\"odinger equations Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-16T21:41:17.603004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T21:39:57.247741Z digest=sha256:ac2b9884dec5a76d11d6d83c7da4756f9af13baac496f573ec31c70444785d8b