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Paper Citation Record · LEDGER

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

As of 11 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

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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

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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

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

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

Reference 2

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

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

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

Reference 4

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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

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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

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

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

Reference 7

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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

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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

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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

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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

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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

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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

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

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

Reference 14

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

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

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

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

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

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

Reference 17

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

Reference 18

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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

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

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

Reference 20

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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

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

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

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

Reference 24

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

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

Reference 35

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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

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

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

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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

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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

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source=pdf_text observed=2026-08-06T19:42:41.332946Z digest=sha256:18029db2c536d62d9a6c79a21a7d473c77121421a8c9b55feff382606a742708

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

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source=pdf_text observed=2026-08-06T19:42:41.338114Z digest=sha256:3fca60d6e91812ef35b4bd80c40488c780ba516a31d46b55f857129652246f5f

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

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source=pdf_text observed=2026-08-06T19:42:41.342828Z digest=sha256:9248077d9063588521fabc678da288d3b21c8f99b2917341582f565e0475d700

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

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source=pdf_text observed=2026-08-06T19:42:41.347623Z digest=sha256:bb4efb82097ff0db2de601c48b115fd37e019829c817022c527a0916c8554507

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

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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

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source=pdf_text observed=2026-08-06T19:42:41.357967Z digest=sha256:ae7d57911bcf0fc032dae61e91d50ae5f0cdbe62aaeb020f3cc295d413325885

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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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

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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

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

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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

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source=pdf_text observed=2026-08-06T19:42:41.378090Z digest=sha256:b5420d2915cf764e7a65da6ea72a4c7c4e37a7f4aa33ef2baab1b365abd8500c

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

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source=pdf_text observed=2026-08-06T19:42:41.383669Z digest=sha256:c41cb63262ae864ad78a785beb3f7e772a07c846b350ab9031b188f4b82c765b

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

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source=pdf_text observed=2026-08-06T19:42:41.388813Z digest=sha256:442c8671d39d3c5ee5761d0f78d5d800284bb99711ecb3da9525d32556878a36

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

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source=pdf_text observed=2026-08-06T19:42:41.396653Z digest=sha256:6695b6ae323222fb32c28d86dcc0a3aec6c48ac03320b8b3aaeec662869241b4

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

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source=pdf_text observed=2026-08-06T19:42:41.405948Z digest=sha256:9fd7fc02bbf19aba93a634ee169af87deb22a23727f976eb571d14705af93b13

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

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source=pdf_text observed=2026-08-06T19:42:41.416004Z digest=sha256:4c97e293b3f369c3e733bf66dc9f33b5efc1ab04c2bfed3f55142db4a2ce5626

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

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source=pdf_text observed=2026-08-06T19:42:41.425354Z digest=sha256:b5b679df877c55389d3ed91037cf63632dd91618223755a53b8fccfb1d82521e

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

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source=pdf_text observed=2026-08-06T19:42:41.433564Z digest=sha256:c0d329f30e4c5cdd89db06158a28e4f2015e5ef37b09cd00d161933f09cadc7d

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
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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 2026-08-11T06:34:44.6726+00:00.

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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

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:42:41.467360Z digest=sha256:847b6b29b98e43341356c459c0009506b2280198993d60bd9a8a637a39b1d4ef

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

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source=pdf_text observed=2026-08-06T19:42:41.477135Z digest=sha256:86cbb0b029913386af49ce8ea68e733ddc90b096ae561d1d2d8fc61212b090c8

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

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source=pdf_text observed=2026-08-06T19:42:41.487202Z digest=sha256:47aa0cd02446244f7c3962929c517b7c1f9c065877f61c8ce68b9d914ea42e5d

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

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source=pdf_text observed=2026-08-06T19:42:41.495878Z digest=sha256:ca68bb0d0ffb58d4289f8823487da8a801a0321a0c8c48a14500b1d43d900248

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

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source=pdf_text observed=2026-08-06T19:42:41.503959Z digest=sha256:9547790c7d50249c2c7199dbbd52228cc33b359c91150db77251899d2f99bc7a

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
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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 2026-08-11T06:34:44.6726+00:00.

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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

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

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T19:42:41.520060Z digest=sha256:9ae9e2891a4b65de869459dd4c612683058536513d69afc5cf6eae1330d109c7

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

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source=pdf_text observed=2026-08-06T19:42:41.528117Z digest=sha256:f31c83cbdbb2dafd1cc9e318f0e17c8131627a120862c12d11f753b71c780822

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

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source=pdf_text observed=2026-08-06T19:42:41.536417Z digest=sha256:bcefd39ac5c296c2302969277acd046e783d3cf31b66c360fd40e443fbdcb161

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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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

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source=pdf_text observed=2026-08-06T19:42:41.553750Z digest=sha256:57b84765d8562b4f72f379d1419437c7adda915f3a401b0ed1427c869cc80562

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

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source=pdf_text observed=2026-08-06T19:42:41.565535Z digest=sha256:6e12169f5a23da65fb5b024d81106904c3715770c91afcffaaf3c3af204a0be4

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

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source=pdf_text observed=2026-08-06T19:42:41.573718Z digest=sha256:2448c3ffd50bf61cc52152f1a4ae829b955641c41912d37ce6a792df04468a55

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

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T19:42:41.582459Z digest=sha256:58dc0ff3e00ac4550ba281a5894b37081faf5914e8e2baf48f4eaae3c842ab86

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:42:41.592868Z digest=sha256:a33922d7fbcbb336ae26e7f4e1b0e90a20fe0a5e47eec13f5a26be9ac071bf06

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

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source=pdf_text observed=2026-08-06T19:42:41.603314Z digest=sha256:35432dfd1e2da2431993da9fb457f6883a9ba808957baa5ea3e46708f9e71c5d

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

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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

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source=pdf_text observed=2026-08-06T19:42:41.728297Z digest=sha256:cf6b0a3730020603272a1b1dcaf09f53f29a8ab0a6dec350e504c1c45e6caac7

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

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source=pdf_text observed=2026-08-06T19:42:41.826102Z digest=sha256:dee54bbaaf4b60267a0eae902f5b07de47110be4617a92738c057b8f0c22092a

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

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

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source=pdf_text observed=2026-08-06T19:42:41.893123Z digest=sha256:6b650ce73cb493804e8d08752d4e19f88f94746927684d30e6404bd52309c150

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

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source=pdf_text observed=2026-08-06T19:42:42.008317Z digest=sha256:8af269396800ce7e8463ff976c8a8dfabaa815e23014897d18f8e1e16dd17709

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

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source=pdf_text observed=2026-08-06T19:42:42.070908Z digest=sha256:ecf07e129e205ca6ff4d2fe9f6df9b169aea381d810f5888e655c32855992ae1

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

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source=pdf_text observed=2026-08-06T19:42:42.137793Z digest=sha256:de4add2cdb6a60dc5bc9ee7f12e75782ce8fc9ac1d3858e1ef560be940c6c9c2

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

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source=pdf_text observed=2026-08-06T19:42:42.255057Z digest=sha256:10d57497c1de1e394f317597126e005b54bf75a975977bbe9d005093888ed1d2

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

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source=pdf_text observed=2026-08-06T19:42:42.364517Z digest=sha256:1d7ca0faf46e3b8fd5eaacdeb2b3a7e28206762f4f19e1dfd64c4fef2f824e47

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

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source=pdf_text observed=2026-08-06T19:42:42.438616Z digest=sha256:767ab46c7f58b795777d3159b4047ab081989bea5e61f77ab960a71ba3b95d41

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

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source=pdf_text observed=2026-08-06T19:42:42.508263Z digest=sha256:722dc9686d6d61352ba8d079971900d1c3b2636560537c25162cc0777f81b4fc

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

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source=pdf_text observed=2026-08-06T19:42:42.588988Z digest=sha256:c654b147c09b0b6bb23bf5c746dd15970b17b4e6729e6b53ffe01cd360195d6a

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:42:42.663009Z digest=sha256:7b1a6418d737b35f4181d635a44c500dbfc80db914851c0961eb26122aa209f9

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

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source=pdf_text observed=2026-08-06T19:42:42.761936Z digest=sha256:633dffcfebf1330300ad440f49d54edcfb99e353570f0de156119b406c8195c5

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

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source=pdf_text observed=2026-08-06T19:42:42.830028Z digest=sha256:6e977222d9180a3dfef5100599c0a5f49edf26ea408b109a72a933cfc26e79a1

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

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source=pdf_text observed=2026-08-06T19:42:42.938736Z digest=sha256:e4973a44916741f69ec8e2345c07124d11a0b2f3cefd0a200180d07a1e874fd2

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

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source=pdf_text observed=2026-08-06T19:42:43.009913Z digest=sha256:5eccca282d7d61f0eef34f400ac3954b38de082c302cbcd3231fff4e84f7f662

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

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source=pdf_text observed=2026-08-06T19:42:43.095875Z digest=sha256:0e1d6c47678b7f14142888233a5685452200432003960dc17a14f75698502818

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

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source=pdf_text observed=2026-08-06T19:42:43.202589Z digest=sha256:1bc2a06326d98dca1291843391f8f8dc8a82a6a0ce8831e22d449237c3a9fe4e

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

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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

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source=pdf_text observed=2026-08-06T19:42:43.520079Z digest=sha256:f2fb231227f95405ebd05f2d5aa9ab661809d0ed0588f4e57734ac03e1e81baf

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

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source=pdf_text observed=2026-08-06T19:42:43.589195Z digest=sha256:64110f038effc18ce0887733671ab76eebc72bf1e026fef6d6859620369cc2aa

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

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source=pdf_text observed=2026-08-06T19:42:43.692857Z digest=sha256:358d3a620a557630fedbd07b6dcb0c521528cd82bc35c4badf96ee0a4287d119

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

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source=pdf_text observed=2026-08-06T19:42:43.760419Z digest=sha256:27354de5899acabecc84056dfc33e3055fa24d2d18b7456d29fad6b930e37c83

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

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source=pdf_text observed=2026-08-06T19:42:43.869062Z digest=sha256:8e05776a7df4e560e6b8fb28c87e8327f108f98005307956a0cf0a60e4d50e0a

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

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source=pdf_text observed=2026-08-06T19:42:43.947429Z digest=sha256:bffba6af5b0f9736f90ff1425f72763ebe39aec8bb76ce46c417b6e1af54c8d9

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

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source=pdf_text observed=2026-08-06T19:42:44.046992Z digest=sha256:6f7fb8225468a383cf33fd92fe834bd50b977e650435e12b768e6ec12733da30

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

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source=pdf_text observed=2026-08-06T19:42:44.131666Z digest=sha256:fb491f7c02691a451b59fd5e5d657181ff566aecc23354630f2190f8d50d15d0

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

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source=pdf_text observed=2026-08-06T19:42:44.243042Z digest=sha256:dbf5b2987762d0380b4328e67b40e09d4e54486cd259dab16bf67bd341c6f9f0

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-16T21:39:57.247741Z digest=sha256:dd435d158bc5d5ba389dd557180a4ed055dff04300b8943721b4f131b9d974b4