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Paper Citation Record · LEDGER

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation

As of 9 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2507.16631.

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

pith.paper-citation-record.v1
2507.16631 v1

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:17:50.394669Z

measured 64 of 64 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

64 of 64 outbound references displayed

  • verified exact1
  • verified fuzzy57
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c2d483ba-191b-45aa-a72d-17afd4c5d441 · outbound

This paper cites Ascher, S.J.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Ascher, S.J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.208335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:43.519599Z digest=sha256:51b95a3c0b0547d7bd4656b27b39d72bd3f7d291494ace91354c6f727a5c3fb2

Observation 411d3feb-6c2c-4fd5-9bd3-2e853a45c97a · outbound

This paper cites Attarakih, C.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Attarakih, C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.200370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:43.589258Z digest=sha256:7c66caecf78642aca43ee9541cc5ff9fb3e6895288c9bea0034ec913b7eae0ab

Observation 6b572f49-5ffb-4fa8-a761-7f8d307ca5ca · outbound

This paper cites Bleck, A fast, approximative method for integrating t he stochastic coalescence equation, Journal of Geophysical Research , 75 (1970), 5165-5171.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Bleck, A fast, approximative method for integrating t he stochastic coalescence equation, Journal of Geophysical Research , 75 (1970), 5165-5171

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.193068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b3f7b23f-1568-4153-b95d-b4684a7e28c0 · outbound

This paper cites Bourgade and F.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Bourgade and F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.185873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:43.889904Z digest=sha256:9fd3d17a46a6d42355a24713e08d7c573b55f9f0eaf8211de85a5fc471f26e0a

Observation d688a932-2f30-438a-a562-4dde0c1904d9 · outbound

This paper cites Cheng and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cheng and C.-W

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.178591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.007839Z digest=sha256:046db4fd989ab8da1486c18a0a7ba12a508fc25e3ae060c25888a0a44c614c37

Observation 252a6ec0-20d1-4832-baf1-a7f31ce38fe5 · outbound

This paper cites Cheng and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cheng and C.-W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.171535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.103520Z digest=sha256:ea079cb02fd78f3cd882d5b92d4ceadad505f3533487f27cdc1b4cc986317f0d

Observation 99d2dd1b-9a52-4984-9f43-32ec436dae50 · outbound

This paper cites Chew, Constrained Delaunay triangulations, Proce edings of the Third Annual Symposium on Computational Geometry, (1987), 215–222.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Chew, Constrained Delaunay triangulations, Proce edings of the Third Annual Symposium on Computational Geometry, (1987), 215–222

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.164092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.255148Z digest=sha256:4f04278a33f685c941f3ce7f129f5950ac7532ce903617bbc4f98747803aa2a9

Observation 9cf99b01-5d5c-424d-bf24-f98edc2ae173 · outbound

This paper cites Cockburn, S.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cockburn, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.156724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.353970Z digest=sha256:6faa93dee51d5daf4dac9b2b8aeef91b477378ce40d0df37e2813f129e5f56bf

Observation 266547f2-33a5-446c-9895-1137c6f8efd3 · outbound

This paper cites Cockburn, F.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cockburn, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.149795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.467989Z digest=sha256:07315a705407efc090dda9259cafcfa76a8712ba0ef0cf103d816ede0c6c3415

Observation bd8ebb91-2d30-4484-a3ad-0aee28cb9e5b · outbound

This paper cites Cockburn and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cockburn and C.-W

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.142166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.561896Z digest=sha256:57c6794cafcdcbb6564a9752abb177efb28216bffb64fbd80afa664d112b359d

Observation 42ca5f40-379d-4037-8761-b6572a274d79 · outbound

This paper cites Cockburn and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cockburn and C.-W

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.134786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.652287Z digest=sha256:0a0809ae7484112727ae68ed3eefa76d2fec8ab7e8cbe456cd1c434326834ccd

Observation 00a7732d-c2e2-4696-9e73-286efda96fc3 · outbound

This paper cites Cockburn and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Cockburn and C.-W

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.127499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.790824Z digest=sha256:4a784f6eb0c961d56e912c729f0e2984510dd8adc7f6e2a677ab0129838ed2bb

Observation 64e8f61a-d4f8-425e-a14a-08f533a00ee1 · outbound

This paper cites Diemer and J.H.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Diemer and J.H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.119980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:44.927695Z digest=sha256:553f14616aeb888962d7f9c62bbfb41a8b9f3f53c017ec3742c4261d5036e984

Observation b99b8a45-3caa-481a-b0ca-e4d8d3042ac4 · outbound

This paper cites an unresolved cited work.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:17:53.112514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.035323Z digest=sha256:83ef8bfd17f5c46237a5e6379dbc6a7919725b4ed6fa9a2d29044f21761837fe

Observation 42587a02-c111-475e-9ce3-2e469193380e · outbound

This paper cites Filbet and P.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Filbet and P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.104925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.163280Z digest=sha256:c2d55174bfeb23c0ad2216d2953786e40714878bf42ee68cf820a98b60139c81

Observation 9e2def9b-416e-4b85-b186-f44afe321d95 · outbound

This paper cites an unresolved cited work.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:17:53.097362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.296534Z digest=sha256:5611b973a27887ae7a8a9f73e6ea8870f6dfcfb86b103638c06bf989ef559543

Observation e1b3929c-bdcd-4ee9-8c69-8ea013ef2a7e · outbound

This paper cites Gabriel and L.M.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Gabriel and L.M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.089895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.409043Z digest=sha256:650452028db3d6ac4a4f3e0822a6364b43db8fd93ea05c2ed12c966ccf0fff5d

Observation 131c7721-7e21-4d08-8f1f-1cdd33f2d63e · outbound

This paper cites Gelbard and J.H.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Gelbard and J.H

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.081925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.558477Z digest=sha256:62076c7969909a2b7d52f3a6f7ab2a1e570674369ec3ff8632d07a1d04bf3c06

Observation 715f58e4-591b-4f61-af96-19731570e635 · outbound

This paper cites Gottlieb, D.I.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Gottlieb, D.I

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.074428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.692258Z digest=sha256:a01708e72fe3122ee8e45e3364f24845b74275049b7420ef73b8acae39237e44

Observation 25e2795e-e724-4251-9025-00d37c5c65fc · outbound

This paper cites Gottlieb, C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Gottlieb, C.-W

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.066693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.795391Z digest=sha256:ffafee44770bc89c6767a0a6ffd6b18704bdf540c56b489767df936e96da2fe0

Observation 27e1c6ce-e623-4676-bfe5-3809c06de4fc · outbound

This paper cites Hasseine and H.J.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Hasseine and H.J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.059058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:45.935242Z digest=sha256:253efc55f5add868f908c6d8354726686b5b06b8b1d783861cc455d599c4ed62

Observation 6a81b9c4-74a7-44e6-80b6-35fb24f183fb · outbound

This paper cites Hidy and J.R.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Hidy and J.R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.051649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.032019Z digest=sha256:16987e95e53c70227bc975e4171fb25da25052c41b92a00c32e74cc6c2db4302

Observation 7592e449-f5da-460c-9306-b45cdc557bb7 · outbound

This paper cites Ketcheson, C.B.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Ketcheson, C.B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.044295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.183898Z digest=sha256:dde5d8ee494d6026c378e6f1c07ff45abd90c77a3ce9416019464b973e5e1d46

Observation c38219e8-9985-4b90-b7d0-777beb8c5d91 · outbound

This paper cites Kolewe, S.C.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Kolewe, S.C

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.036392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.267592Z digest=sha256:02d6dd994653d63c330b731a744482f457afbf1554185d811ff70ed7170c4f0c

Observation 2f98405d-f1bd-44f3-8def-88a71a0f9560 · outbound

This paper cites Kumar and D.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Kumar and D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.028660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.366389Z digest=sha256:63abfbdb6215fab231bcd9d306607d59b59412fde2686f4d823d930ce1a8c739

Observation 098b5046-027d-4ec0-ad27-b78f4ee7ca38 · outbound

This paper cites Kumar and D.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Kumar and D

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.021138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.447131Z digest=sha256:e8f1d72c3a28e2a20b5354f3a80030d76b56b4d4f6b68a02283b712a774e8b9e

Observation 14c1e771-8276-42d4-a018-0556a4de30f5 · outbound

This paper cites Kumar and D.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Kumar and D

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:53.013575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.531707Z digest=sha256:4cb8ca713d6f4db0ba39aad443d56dd7fe1659c5331ff2746e5d3135357e6554

Observation 07072ac0-89ac-4d05-b6a5-df77bd1fffa8 · outbound

This paper cites an unresolved cited work.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:17:53.005625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.609346Z digest=sha256:a4f64f5447816dc9fe557fe677b950eaca0334af162f80bc6ea878867ddbc1c8

Observation 232a4cce-1e54-4c53-b441-e8debfb69ccb · outbound

This paper cites Leyvraz and H.R.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Leyvraz and H.R

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.998197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.698941Z digest=sha256:267c58ee4f1e412581e5c88cb9efc9780dd2c522135c7babe4305f1931bfe0c8

Observation bcdfbbed-0cb0-4f6d-8ddd-b2d8edbe06fa · outbound

This paper cites Lim, J.M.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Lim, J.M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.990955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.783792Z digest=sha256:96d190266edc50111cbf0f38dc404801c94b6e6998965fab1e2a39940091c310

Observation aaa55170-f025-4efc-81bc-f8a5f589c43c · outbound

This paper cites an unresolved cited work.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:17:52.983703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.859642Z digest=sha256:bb7b4be605346df7624dbc491a8fbd511cddd6a5fb037869993f6fcdbb4014b1

Observation 0277a365-777a-41bb-8478-9862cf6f180b · outbound

This paper cites Liu and X.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Liu and X

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.976236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:46.968740Z digest=sha256:d822d0b092eca336c68070644b4be47edf751cbeafd9f160f9a6f8d7d6baaeb5

Observation 2a0131eb-a325-45cb-8529-d57b7154db19 · outbound

This paper cites Liu and S.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Liu and S

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.968323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.039612Z digest=sha256:ac2d5353548a973518020675c19eccfe37a39c7b5d2bdd0f93e303488afe4cd2

Observation 3ea94f25-9c61-4192-8d0f-0914547d3118 · outbound

This paper cites Liu and S.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Liu and S

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.960719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.122852Z digest=sha256:6b81c7346a579ae535e8752025f98cb999941418d4b48afa53978db40fa11252

Observation 98a7a0ae-2d2a-4367-b332-0de84ef2608c · outbound

This paper cites Lombart and G.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Lombart and G

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.953336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.217912Z digest=sha256:61d58872858f8808919e6a4473ac11af64ed7b0b4a91cbf32d5653f3aa802c00

Observation e3671ef8-e490-4ecd-b2df-e56a459cc297 · outbound

This paper cites Lombart, Grain growth by the Galerkin method for the f ormation of planets, Doctoral dissertation, Universit´ e de Lyon, (2020).

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Lombart, Grain growth by the Galerkin method for the f ormation of planets, Doctoral dissertation, Universit´ e de Lyon, (2020)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.945950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.310968Z digest=sha256:bd027181a2abb24c05452a09933c100addd7ca082515f654b73cb8a3ce58d696

Observation 0f0cda4d-fe3f-49c2-aaf9-9e169bc67ce5 · outbound

This paper cites Maisels, F.E.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Maisels, F.E

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.938438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.403271Z digest=sha256:c250610017541e56d306822c58a357d23b4c78b4fbf7ef0b959e85bd51569955

Observation 614dbec6-4d40-4d41-b09f-afd4d53cc04d · outbound

This paper cites Marchisio, J.T.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Marchisio, J.T

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.930766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.527603Z digest=sha256:328917bc7e9f49233065383cf661549544c99e764d03b740fad7ef94516b74c5

Observation e95af614-3d30-436e-bb33-75423249d24d · outbound

This paper cites McLeod, On an infinite set of non-linear differential equations, The Quarterly Journal of Mathematics, 13 (1962), pp.119-128.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation McLeod, On an infinite set of non-linear differential equations, The Quarterly Journal of Mathematics, 13 (1962), pp.119-128

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.922626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.600836Z digest=sha256:e50b7c200d9249eae8bdda7aec7193c834310ea1f9047e5bff67f00c1ceae9f0

Observation 53a76df6-3a16-41ca-87e4-573ec37792a5 · outbound

This paper cites Melzak, A scalar transport equation, Transactions of the American Mathematical Society , 85 (1957), 547-560.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Melzak, A scalar transport equation, Transactions of the American Mathematical Society , 85 (1957), 547-560

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.914842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.673083Z digest=sha256:244366e2bc104c1fc03c168dc6c35ada04a844122568e0cc283aa21c1a6d7820

Observation fd5237c1-37bd-41e4-ab57-dca89e65260e · outbound

This paper cites Myerson, Handbook of industrial crystallization, B utterworth-Heinemann, (2002).

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Myerson, Handbook of industrial crystallization, B utterworth-Heinemann, (2002)

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.906975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.746412Z digest=sha256:44d23bcbf9dc452365e38a44320026330c9879d6badedc720796682cf241ce62

Observation 0facc7ed-c985-4e8d-980f-a4ba00fae8be · outbound

This paper cites O’Sullivan and S.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation O’Sullivan and S

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.898810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.862294Z digest=sha256:45bcf786654bad8aa0cab231ab06ee2f93b5bc53eb28bbec83cb06b0285a8626

Observation 9b08415b-0218-4ab0-a28e-38c1333ecb2e · outbound

This paper cites Patil and J.R.G.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Patil and J.R.G

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.891190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:47.962492Z digest=sha256:7d7a79a47e91ff22973fc0a6dd82372cd115cdbe10c34b7b7dc672c148ac67a6

Observation 65415561-21a4-431c-8ee7-427b56a5fe14 · outbound

This paper cites Patterson, W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Patterson, W

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.883149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.074690Z digest=sha256:bf4075fd0ec174246bd2866c9556aefb8faa404c77b19a0f062dace522745295

Observation aab32d44-b20c-4f3d-b455-89d628764ef4 · outbound

This paper cites Qamar and G.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Qamar and G

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.875706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.153219Z digest=sha256:2159bbbbb2c82cd31605da508c0553d7ca504f23d1d281183300bf9615c8ae85

Observation 1eeeff46-aa88-4910-871d-978c983130ae · outbound

This paper cites Ramabhadran, T.W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Ramabhadran, T.W

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.867929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.211165Z digest=sha256:6c4f61ac33e85cf131ca5db97f1ee4ddf576e52b1a946c70c3a19707bc710d70

Observation 00832dfb-c959-4de7-95ae-0f43095936b7 · outbound

This paper cites Reed and T.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Reed and T

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.859689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.310908Z digest=sha256:72412009bb8cec253c9a2807b7ca26c6ee91228436bd0d3e8fa8823d749a8739

Observation 2c555f11-3b3e-44b1-9678-25710291320e · outbound

This paper cites Rigopoulos, Population balance of particles in flows : From aerosols to crystallisation, Cam- bridge University Press, 2024.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Rigopoulos, Population balance of particles in flows : From aerosols to crystallisation, Cam- bridge University Press, 2024

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.850291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.424541Z digest=sha256:2e59762a24e8b8fde88ee7c4bef12d6f6640214d7c40b08587f6f0999676f9af

Observation 1ded24c9-9255-4901-9596-d34aa48a3426 · outbound

This paper cites Rigopoulos and A.G.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Rigopoulos and A.G

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.842239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.524260Z digest=sha256:c090580f6266709594887ec0272f39634b35544a7e58d197b60374509aa60a64

Observation 0fcc0b77-88c4-45a2-a78f-d6b5ed21925c · outbound

This paper cites Rivi` ere, Discontinuous Galerkin Methods for Solvi ng Elliptic and Parabolic Equations: Theory and Implementation, SIAM, 2008.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Rivi` ere, Discontinuous Galerkin Methods for Solvi ng Elliptic and Parabolic Equations: Theory and Implementation, SIAM, 2008

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.833861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.644208Z digest=sha256:1f4fd82490c0daf336c1be18aa1e491570edd58be9d31cbc785c91a4b6e8f4fe

Observation e6265884-5d41-4e8a-b0c8-9db06bcb768d · outbound

This paper cites Scott, Analytic studies of cloud droplet coalesce nce I, Journal of the Atmospheric Sci- ences, 25 (1968), 54–65.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Scott, Analytic studies of cloud droplet coalesce nce I, Journal of the Atmospheric Sci- ences, 25 (1968), 54–65

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.826237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.716234Z digest=sha256:9789e9f6f671e966026abffa0395bee6ffd9f80f1dac5f71fbb7d9890c5f71ac

Observation e65213be-1dfd-4ab0-8914-feefddd01609 · outbound

This paper cites an unresolved cited work.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:17:52.817854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.867514Z digest=sha256:68117e2b11a74251cc82428d3d30be7ab417c2107528cf25627ae2f5eadeb0bc

Observation 60e6534c-384e-40e4-88d4-22bf047e5331 · outbound

This paper cites Shu, Total-Variation-Diminishing time discret izations, SIAM Journal on Scientific and Statistical Computing, 9 (1988), 1073–1084.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Shu, Total-Variation-Diminishing time discret izations, SIAM Journal on Scientific and Statistical Computing, 9 (1988), 1073–1084

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.810664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:48.988336Z digest=sha256:030315e93ce0eed28e9446561b95b604fae30b2a3ff813510b1f0ec5a8c9a34d

Observation c41d808b-9479-48d3-8eb3-a7d35070ba0c · outbound

This paper cites Shu, Discontinuous Galerkin methods: general ap proach and stability, in Numerical Solutions of Partial Differential Equations , 201 (2009), 1–44.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Shu, Discontinuous Galerkin methods: general ap proach and stability, in Numerical Solutions of Partial Differential Equations , 201 (2009), 1–44

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.801673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.092424Z digest=sha256:2364770a7d6878ee861ee7af70f3d66fcf9ca855ed5baa5d2a1459ceaf805dca

Observation 180eb094-a921-4b77-b6fe-a1385b15891d · outbound

This paper cites Shu and S.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Shu and S

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.793628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.151967Z digest=sha256:5eca77bd2f919a0ab930fd99ac5c2b29680fcfdc2234079f272751f0af59f214

Observation 65c66042-1a97-45ae-846e-ce968d3625d9 · outbound

This paper cites von Smoluchowski, Versuch einer mathematischen The orie der Koagulationskinetik kolloi- der L¨ osungen,Zeitschrift f¨ ur physikalische Chemie, 92 (1918), 129–168.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation von Smoluchowski, Versuch einer mathematischen The orie der Koagulationskinetik kolloi- der L¨ osungen,Zeitschrift f¨ ur physikalische Chemie, 92 (1918), 129–168

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.602200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.309741Z digest=sha256:dc6baaf81918a47d99634f2f46c79b2272b50765cdd02d30c02c01053e9c3c82

Observation be4e961f-0be5-4ba9-b754-ffca0f74af21 · outbound

This paper cites Wandzurat and H.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Wandzurat and H

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.432013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.431929Z digest=sha256:0295e525f84046ba5a58752b618936642f82d9443b7d74b5552bbd237bf51007

Observation 4f9febcb-9a4d-4638-bf9f-3076a663c6d8 · outbound

This paper cites Xu and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Xu and C.-W

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:52.174416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.578531Z digest=sha256:35488e211995de95dd751b9e9c7faa9900a88f3180c96055da28ea78c321a52b

Observation 66d3d7e1-585f-4fce-8abc-31b6c49a11cd · outbound

This paper cites Xu and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Xu and C.-W

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:51.940062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.738925Z digest=sha256:25c309fe75bd0c7b3a36975bfbb6464ac032e3de7fc5dbf84bd4eba6261ed61e

Observation 57ad7e0f-47b3-4b78-8c12-8db59192b415 · outbound

This paper cites Xu and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Xu and C.-W

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:51.701802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.839338Z digest=sha256:c5d3902a5de9e46dd3c4af7cd5aef3715f88bfcc59b4b12d1eb70b9e28164bc7

Observation b4966b35-b2f4-4f2d-b9fc-5a7711c829b1 · outbound

This paper cites Stability and Time-Step Constraints of Exponential Time Differencing Runge--Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Stability and Time-Step Constraints of Exponential Time Differencing Runge--Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:17:50.629533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:49.946763Z digest=sha256:663f3738390caf78c1e6334b5ac031b1e5ebbc5bf767793f5bff844fdb41e117

Observation 8e00eae5-3fce-44dd-9647-a0a15e2b8397 · outbound

This paper cites an unresolved cited work.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:17:51.391562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:50.048466Z digest=sha256:aa07d15c1b6c4d303b041be14d6f686b701c7f0d73c4863f7b087638a4afef86

Observation 93bb821b-3e91-406f-8a15-476a5426ac44 · outbound

This paper cites Zhang and C.-W.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Zhang and C.-W

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:51.130836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:50.177194Z digest=sha256:95f46c6abc0bbb88fa7b06d656727128d6e262ea77a0667dbf57bf1be0482cab

Observation d6f74e0b-5933-49e8-80a5-c924618a6517 · outbound

This paper cites Ziff and E.D.

A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation Ziff and E.D

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:17:50.852252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:17:50.394669Z digest=sha256:4602c26ef0b15d7d2ddc45f159328b6ca765ee47494a6646e6c00622cea66038

Pith citing papers

No inbound Pith citation observations are available.