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Paper Citation Record · LEDGER

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries

As of 14 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2502.00540.

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

pith.paper-citation-record.v1
2502.00540 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T18:47:16.169307Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

56 of 56 outbound references displayed

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  • verified fuzzy48
  • unresolved8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 637d4933-64fd-46aa-a527-cab4f0f3067c · outbound

This paper cites (eds.) Abramowitz M., Handbook of mathematical functions, 10 ed., NBS, 1972.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries (eds.) Abramowitz M., Handbook of mathematical functions, 10 ed., NBS, 1972

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation dbf15666-9650-478d-aec0-76abc82d30eb · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-09T18:47:16.817419Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.965808Z digest=sha256:0494a25612cf90e30d2314ec40075881d5aa81e3b52458bc190e9085d1b97999

Observation 51e9eea4-277f-4414-b59a-2c42aa3a908e · outbound

This paper cites Belibassakis, The Green’s function of the mild-slope equation: The case of a monotonic bed profile, Wave Motion 32 (2000), 339–361.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Belibassakis, The Green’s function of the mild-slope equation: The case of a monotonic bed profile, Wave Motion 32 (2000), 339–361

Reference 3

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 76561e9b-93e7-407d-b561-b981aa11a62f · outbound

This paper cites Belibassakis and G.A.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Belibassakis and G.A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.795105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.973654Z digest=sha256:36cab8cd30c5e6316f5ed6ccce718d2677a907b42f1abc07fbe8efdc8a75b9d3

Observation fbb6106a-3e98-4e7a-ba52-11d1fa670422 · outbound

This paper cites Belibassakis, G.A.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Belibassakis, G.A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.783460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.977835Z digest=sha256:06da1d54cd0fb0e88936387c79b5a34e0575b48497487ef3bdceb9a00c78d3b1

Observation 6b2e05ea-d329-4a88-900d-abe2020ed427 · outbound

This paper cites Beltrami, G.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Beltrami, G

Reference 6

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raw_fallback, observed 2026-08-09T18:47:16.771752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.982209Z digest=sha256:4c052515da6d11675f1a80104a11e000f7759c49e806572f774f97c1b1ee6c36

Observation 31881a83-bd74-4c1b-a552-286de72327ff · outbound

This paper cites Bergmann, The equation in a medium with a variable index of refraction, The Journal of the Acoustical Society of America 17 (1946), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Bergmann, The equation in a medium with a variable index of refraction, The Journal of the Acoustical Society of America 17 (1946), no

Reference 7

Resolution
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raw_fallback, observed 2026-08-09T18:47:16.760916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.986469Z digest=sha256:190790c9d0244492f75562b37e75d43e28d7116344cc399952ce8ffa202cda55

Observation e4022018-e126-46cc-ae43-ec8691f9b7bd · outbound

This paper cites Berkhoff, N.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Berkhoff, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.749829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.990204Z digest=sha256:1cf133ddb6fafbd0a7e9cd688ee780d8af8f3e60a9e02c76beb4bab5f0c6453d

Observation d9b84e37-4db7-4617-8ab8-df976f321256 · outbound

This paper cites Berkhoff, Computation of combined refraction - diffraction, Proceedings of 13th International Conference on Coastal Engineering, ASCE, 1972.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Berkhoff, Computation of combined refraction - diffraction, Proceedings of 13th International Conference on Coastal Engineering, ASCE, 1972

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.738342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.994293Z digest=sha256:51b8ace3145d17bf7c5d8ab30e0394ed428516662bf7746116b4db7350dfa095

Observation e60b30c7-c3a8-47da-ad6d-bb847f1e112d · outbound

This paper cites wave diffraction and refraction, Ph.D.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries wave diffraction and refraction, Ph.D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.726474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:15.998207Z digest=sha256:f21554fed5a580b4736e9aa13cb7cd8b6d661356b29df2e376033adbb21edef7

Observation e4387150-54bb-4e9e-8c8b-5df488973645 · outbound

This paper cites Bettess and O.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Bettess and O

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.714783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.002003Z digest=sha256:8b770df615591387b239fe596e1f0edd85fe910c165b2d6788c039254f394dbd

Observation 28f9cd2e-8842-4a8d-8ebe-a8ccd2761746 · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.702256Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.005958Z digest=sha256:04d2159f538a038bcde971c001981636909debbd331c0312bf37b88ecffbbedd

Observation 5a235f2a-82f4-4040-9e6f-6a801f21adbc · outbound

This paper cites Booij, A note on the accuracy of the mild-slope equation, Coastal Engineering 7 (1983), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Booij, A note on the accuracy of the mild-slope equation, Coastal Engineering 7 (1983), no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.690514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.009738Z digest=sha256:13ecb4fefcddd8cf1fec7cc0e53373b9717759f67c5ab4e598a7a999e342e354

Observation 033177a5-ee2d-4e3a-a2be-ea1a7b920563 · outbound

This paper cites Chamberlain and D.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Chamberlain and D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.678684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.013442Z digest=sha256:2d19b36611edd67ca92d5074598b2b3b65646cf6075bff543714c01967cad112

Observation 417c80f8-39e5-4f59-b69e-ce81bf9efbae · outbound

This paper cites Chandrasekera and Kwok Fai Cheung, Extended linear refraction-diffraction model , Journal of Waterway, Port, Coastal, and Ocean Engineering123 (1997), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Chandrasekera and Kwok Fai Cheung, Extended linear refraction-diffraction model , Journal of Waterway, Port, Coastal, and Ocean Engineering123 (1997), no

Reference 15

Resolution
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raw_fallback, observed 2026-08-09T18:47:16.667117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.017088Z digest=sha256:88f9e008f7589202933ef2bea626224b4119c709df1b35f0ac81efbb9620a81e

Observation 0d8ed9f6-1ded-4494-9774-59d133fb975d · outbound

This paper cites Chen, Effects of bottom friction and boundary absorption on water wave scattering, Applied Ocean Research 8 (1986), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Chen, Effects of bottom friction and boundary absorption on water wave scattering, Applied Ocean Research 8 (1986), no

Reference 16

Resolution
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raw_fallback, observed 2026-08-09T18:47:16.655692Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.021149Z digest=sha256:739d3017df6b78d01694fcd1507b47b88b4f5eefb17a3d246b01d83dd49143ad

Observation d16b7569-f29c-45f8-b1e6-71675af413e2 · outbound

This paper cites Chen and C.C.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Chen and C.C

Reference 17

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raw_fallback, observed 2026-08-09T18:47:16.643766Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.024940Z digest=sha256:1e89ae77cf6c44c19bec5df5e8495229d3619a1854f9f21802112f401eaf3626

Observation 84edfde1-071d-4cd3-806c-ad52e5ef431a · outbound

This paper cites thesis, Department of Civil Engineering, University of Maine, August 2002.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries thesis, Department of Civil Engineering, University of Maine, August 2002

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.632157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.028844Z digest=sha256:508ca72806270522fe496da1b7ed8d4d469d03518ca7747ae09dd4f28a48c0ec

Observation 7df44818-fb5d-4bf3-98b8-eee1f2bf2562 · outbound

This paper cites mild-slope.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries mild-slope

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.620399Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.032702Z digest=sha256:f1bf8fed63bc681b126077f64c5722c2cdaad7f1eae59ab01879837c7985e0d5

Observation a15d89cf-abef-4c51-89b0-13afd363797e · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.609130Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d2468cc5-1e42-4600-8ca0-bc3fef92db33 · outbound

This paper cites 1, 1 – 29.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 1, 1 – 29

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.597759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.040111Z digest=sha256:7c1e80c913f9710c0ed2bbb9ec1d9000239708898f7e50db44b5c9d3759f8cc3

Observation e94e2b06-d74f-4662-b94d-6f9c9836019b · outbound

This paper cites Keller, Non-reflecting boundary conditions for elastic waves, Wave Motion 12 (1990), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Keller, Non-reflecting boundary conditions for elastic waves, Wave Motion 12 (1990), no

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.585822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.044237Z digest=sha256:62c559690a27059198845fc28b8201c51a6af989e82f2b7f51202595bb6ca306

Observation a8a33713-d951-44e8-a2e7-2b96ab3b86ef · outbound

This paper cites Hauguel, A combined FE-BIE method for water waves, 16th International Conference on Coastal Engineering, 1978, pp.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Hauguel, A combined FE-BIE method for water waves, 16th International Conference on Coastal Engineering, 1978, pp

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.573918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.048092Z digest=sha256:c18437e72c63007d59f39b8295810512486d7941d0e45b6ce94c7a8b0fe72768

Observation f47b89bf-f9b7-4562-8a51-7e9769dd549b · outbound

This paper cites 11, 1246 – 1257.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 11, 1246 – 1257

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.562584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.051818Z digest=sha256:44e2f8c61140f9a0951a8224ca2ee89dbbc5f1763ca9dc85f713f37043a80d55

Observation 3924b5d7-0b9e-4974-9e89-82e93e5420c7 · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.551663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.055493Z digest=sha256:b4667001f1bf096615a953e203eb8bcb278c8f415ef58c8d1b241949f31df9a3

Observation 01c9b9b7-eb59-43a1-b2da-dbdc910ee15e · outbound

This paper cites 11, 1479 – 1498.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 11, 1479 – 1498

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.540507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.059075Z digest=sha256:ba50698948d19d64d0732200446ae050cf9d4fe6212d7b6f3c315fc109ae1fed

Observation d499bc41-e3a5-4657-978c-af8250f44258 · outbound

This paper cites 3–4, 281 – 298.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 3–4, 281 – 298

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.528896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.062788Z digest=sha256:4c56b25b9ee9491421aa65c8eb0af5ad577275e35d0a1c4bf677f2ad412d9899

Observation d65e6363-9e06-4785-8402-6af5d0496166 · outbound

This paper cites 3, 193 – 214.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 3, 193 – 214

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.517354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.066500Z digest=sha256:dd98a06ffd9d3f7cd9875b6b818a1d73884829c06f79a3c335c8db21a3c3584d

Observation 4d817a4b-b9e1-4b64-85a2-7f8f440d7e52 · outbound

This paper cites Keller and Dan Givoli, Exact non-reflecting boundary conditions, Journal of Computational Physics 82 (1989), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Keller and Dan Givoli, Exact non-reflecting boundary conditions, Journal of Computational Physics 82 (1989), no

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.505695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.070246Z digest=sha256:42a76b6dd98ac6e417333180769efe008731377d0ac61e5ad4bff83078086c9a

Observation 1cdbb016-dcca-489f-ba9a-15fb7bd3437c · outbound

This paper cites Kirby,A general wave equation for waves over rippled beds, Journal of Fluid Mechanics 162 (1986), 171 – 186.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Kirby,A general wave equation for waves over rippled beds, Journal of Fluid Mechanics 162 (1986), 171 – 186

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.493961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.074223Z digest=sha256:42e8347ca9e2ed441b3b046792577df4c9f4593de87620d4aba055fd7e34ed0b

Observation 8773d67e-133b-43e7-8ad7-04d4624d210b · outbound

This paper cites Lau and Z.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Lau and Z

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.482562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.077936Z digest=sha256:3c42727f6c669c2227231e28da8571a2ba1a70a2e2ddda4855e3771883f994e1

Observation f50b6759-f704-437e-b9fa-b3dcfcc8870b · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.471835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.081664Z digest=sha256:3e7eb83f52df29348e6d21a853b7257ae3327d1b6f6ab5eb541d121ab4278da2

Observation f49faa8e-c57f-438d-9a4a-324dc58ac64c · outbound

This paper cites Wang, and Sieun Eom, Boundary element modeling of multidirectional random waves in a harbor with a rectangular navigation channel, Ocean Engineering 36 (2009), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Wang, and Sieun Eom, Boundary element modeling of multidirectional random waves in a harbor with a rectangular navigation channel, Ocean Engineering 36 (2009), no

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.461381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.085455Z digest=sha256:a0992d6b695648a529c9ee18bceb6d5798d1ff9a7a699c479b9412b558f7c08d

Observation a68ad493-6546-4ba1-9153-bdea5423f647 · outbound

This paper cites 1, 39 – 58.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 1, 39 – 58

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.451157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.089129Z digest=sha256:1bf431df4913df49e626a07783c14ac3ec4df846ccc6c112bd48c046304ded1b

Observation 4c5f3ec3-909b-4edf-bb10-2c9af97391d4 · outbound

This paper cites Li and K.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Li and K

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.441325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.092842Z digest=sha256:d60d2bf05ff42e0e2549cdcebc3e5e4376b962e521db97663127d5804e43cf5a

Observation 4760819e-d96b-4a52-98ff-b7ba5e403daa · outbound

This paper cites 3, 227 – 242.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 3, 227 – 242

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.431081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.096691Z digest=sha256:bd3f9f3979fc079de6ffb1f1b4b1e5eea78255ec6b3c474052104ff9e2349b32

Observation 072dcbaa-fe5e-4532-92f5-4dd6f1a82e00 · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.421282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.100480Z digest=sha256:d38466ce7e66e5f985ba12bfb90e643ae06911dce509ea62c73aad4f62c3a40d

Observation 0cfe35b6-bf6c-40f2-83a3-cd39f48fc41f · outbound

This paper cites 12, 2775 – 2791.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 12, 2775 – 2791

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.410366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.104389Z digest=sha256:0643e8294d5e23b5d088ff31cbbfbccc51d4b6523b97e95f7716c1434fbe6852

Observation ad9cd4b0-de5d-41a1-9467-1b81d3064a02 · outbound

This paper cites Maa, T.-W.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Maa, T.-W

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.399529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.107966Z digest=sha256:aaadbd9ef545930098e0356608ebd985bb6052a19c307f5c6ac408e7afc8e42b

Observation 0e6be7e7-db8e-431b-ba84-aee94ae438fc · outbound

This paper cites Massel, Extended refraction-diffraction equation for surface waves, Coastal Engineering 19 (1993), 97 – 126.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Massel, Extended refraction-diffraction equation for surface waves, Coastal Engineering 19 (1993), 97 – 126

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.388870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.111506Z digest=sha256:1738ac9861f2f81204c43d507fc6f7a10bdb940fa84dcf9d64b17647fb92c31a

Observation a9ba9dd5-e518-4575-98ba-0c8ed43203be · outbound

This paper cites McCamy and R.A.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries McCamy and R.A

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.377800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.114848Z digest=sha256:b2539fe49c7252d0fd60543a9872cab76f5985a06404e686403def863f0799ba

Observation 34902d17-4caa-4818-afd5-48b5a43c069e · outbound

This paper cites Mei, The applied dynamics of ocean surface waves, John Wiley, Chichester, 1983.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Mei, The applied dynamics of ocean surface waves, John Wiley, Chichester, 1983

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.367349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.118423Z digest=sha256:5a2b55614778977d44d7eda2a33b7317b16f79cee40037a93ece5405fdf0607b

Observation 3a61dd5b-5e82-46a3-9e6d-834421568af0 · outbound

This paper cites Naserizadeh, H.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Naserizadeh, H

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.357036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.121984Z digest=sha256:e73d358cdef5981514e282c6878ec385dd4e2bfcce4225c96248814ef47f431a

Observation c2c57a35-b05a-45e4-96cf-81d40ec90787 · outbound

This paper cites Panchang, B.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Panchang, B

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.345734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.125654Z digest=sha256:3601856ffe5980f4248ee4dec7beb682577b6833c43b747bc5af3361aba0622e

Observation a97856ed-ae24-4698-aa79-3d9639233893 · outbound

This paper cites Panchang, Bryan R.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Panchang, Bryan R

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.334101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.129246Z digest=sha256:bb4e1bf14c0afea84f67d77abbd43cd3bef94811e4472fe77a23cbc84e899dc6

Observation 8033dff1-cabc-42fa-85f9-b3b64fa6c388 · outbound

This paper cites Porter and D.J.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Porter and D.J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.322136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.133621Z digest=sha256:5733c1172b6bec2d937b1ce9b83c6dd40a190df4949f9f843cf894a3c8981b93

Observation 3c0de436-79cb-4688-9db0-05588a07dadd · outbound

This paper cites Rodríguez-Tembleque, José A.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Rodríguez-Tembleque, José A

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.310424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.137216Z digest=sha256:8a40a21fbc82d8a58bcdc14579588371b1cfedc7eeb041634949376d6cc2d0b7

Observation aa603556-0521-4332-8e22-f49eab1d18af · outbound

This paper cites Shaw and W.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Shaw and W

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.299298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.140767Z digest=sha256:21c884d5582860b515515dcb49f00b26c9066bab022579cb23f90a58598fa68e

Observation 52400cfd-435d-4a6f-b2f7-5ee7ebab478f · outbound

This paper cites Steward and V.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Steward and V

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.287076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.144313Z digest=sha256:782704332e832a86830064a052cde06c76795c0ec2c810ebe4eee60e2336c773

Observation 6d5e960c-9a5a-4fa5-a299-c57088b0f067 · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.275709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.147868Z digest=sha256:8989b56959c411c6607ebf0d97373ad0b160e3d20df9270962879fa84edfc15b

Observation 8b8a7f0e-8c95-4b05-8318-c20bbc2bd319 · outbound

This paper cites an unresolved cited work.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-09T18:47:16.264556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.151316Z digest=sha256:0f10026718c22b1b03d137219cc719c2d71aadf829a3c543ac8f2e550e4b8634

Observation 348634e9-2b74-487d-8b74-c158d922fdc1 · outbound

This paper cites Liu,A finite element model for wave refraction and diffraction, Applied Ocean Research 5 (1983), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Liu,A finite element model for wave refraction and diffraction, Applied Ocean Research 5 (1983), no

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.252740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.154780Z digest=sha256:574fc866982e54a02bbe2731f1cfc9b4b05a5c50913c50b568d3845efe21ed27

Observation 0616ccf1-e793-4329-9eb9-ae2cdc8a74d7 · outbound

This paper cites Wu,Boundary element acoustics, fundamentals and computer codes, 5 ed., vol.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Wu,Boundary element acoustics, fundamentals and computer codes, 5 ed., vol

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.240567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.158407Z digest=sha256:1805922247dd2bafc9a205f0b24e76f45684a2fcd745e81f77fecc94984b3bad

Observation 737d08db-2e01-4da1-92e3-26be42ecac79 · outbound

This paper cites Zhu, A new DRBEM model for wave refraction and diffraction, Engineering Analysis with Boundary Elements 12 (1993), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Zhu, A new DRBEM model for wave refraction and diffraction, Engineering Analysis with Boundary Elements 12 (1993), no

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.226712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.162002Z digest=sha256:f2f354f3dcf21d8ef1428036281d628f4fb434a2502fe1f4489fcf5a891375c2

Observation 04dc0989-100f-44b6-9d17-7967826c4d6b · outbound

This paper cites 5, 377 – 390.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 5, 377 – 390

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.214215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.165689Z digest=sha256:253058af09da977b09bd0cc9aa3f75bdb2abe47f7075c46cf7f487bd37023490

Observation a5cdcea5-2ffe-4ae3-9378-c33843dc00d5 · outbound

This paper cites Marchant, A perturbation DRBEM model for weakly nonlinear wave run-ups around islands, Engineering Analysis with Boundary Elements 33 (2009), no.

Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Marchant, A perturbation DRBEM model for weakly nonlinear wave run-ups around islands, Engineering Analysis with Boundary Elements 33 (2009), no

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T18:47:16.202715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-09T18:47:16.169307Z digest=sha256:7550d6edcc283a79f429f203fc22ca54d322c73b6017d28937d2ad38e18700bf

Pith citing papers

No inbound Pith citation observations are available.