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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 13 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 2026-08-13T06:32:02.005865+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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raw_fallback, observed 2026-08-09T18:47:16.828628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.961143Z digest=sha256:9c3c883327eeb3fea42769e0a8136fb18a5cb68738ae5813104a22e7b4533d83

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.965808Z digest=sha256:1c635ff37b0f8cdc4b20f5890158bb086cbe1a075daa4e776216c491ceed5a5d

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

Resolution
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raw_fallback, observed 2026-08-09T18:47:16.806410Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.969869Z digest=sha256:a33cd0d979db00c2124a6701e1fee4031bacabfb4dad1ecf801049030388da97

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.973654Z digest=sha256:97a3f56b963c477d7f118e75480780dac7c412f143b803806cc7d3ac738c3c8b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.977835Z digest=sha256:02cc88c86b084b34c304c3fe7f8abb17bc9b412213e12d8f79a45006e396a7ca

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

Resolution
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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.982209Z digest=sha256:525acf2df7a76160fc9c87963e37fbed148e19b586b6745fbda8d75dd06addda

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
verified fuzzy
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.986469Z digest=sha256:da43d494d4a75bd7a9d79f744dc2cd91f074139befa10ce4b0b37e9b2dfa2cb3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.990204Z digest=sha256:7dff4688e293a4f8304b32efaafb7f88548f24aa46c95cecbb7af87a0da3eefd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.994293Z digest=sha256:82024c98136606c9c15836f064d4f490b334b27f006c993f0c514fc6d0b0e807

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:15.998207Z digest=sha256:4685ae6e72440270848f7180b98ae07d1c83e12aa037c8de17229279eec67035

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.002003Z digest=sha256:6ef2e2a3be4b452f6c4cca716352d7a86950a4c6e99d73725b26a7f2cde6920a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.005958Z digest=sha256:80917034c2c7d85a61966a6675ebe0c9274c634f15fd21622e93619081226104

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.009738Z digest=sha256:26d958249afdbd9a1bf57f0731197ff3701c24b3d9aa146e87bc7ebc93ee6a71

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.013442Z digest=sha256:fda6fde91f8f543741f9a2bef66d512609a0c1b119d61ea1c9a9f470ec689ce0

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
verified fuzzy
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.017088Z digest=sha256:655e5e0072b1356be110af189f50c5d09f89f35246090fe39d6eb24c8229b5d1

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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.021149Z digest=sha256:5fff0fc046859a5ffaa92d68f481f47d3e751ffeeb9705bcdcb71a5531bdfae1

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.024940Z digest=sha256:f0580ae7daa23f5c885181afed2e186ab02b8c6b758f942727ef9038a4de957d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.028844Z digest=sha256:8f1ea0c6cf842244db9886cec4a7f691d3e3be5455e078589729a0fb7d2cb5c0

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.032702Z digest=sha256:116fe300f4a480e2cf85c33755b33ac9eba0159ce97529d187abb194168657ce

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.036573Z digest=sha256:7cedb5948a5ead506eb897221b2c4add87263eccbab4cf19393d53704cd87556

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.040111Z digest=sha256:2e32b83b768e0b0bba472cf9ff5b112b2e0eac419e327bf8a51c44b421f75e3a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.044237Z digest=sha256:7ff149d304cf5c87bc06b7c4e9882afbb29fea1a038e2f4c159c4683a9a864df

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.048092Z digest=sha256:f74c08d9f46a2d533245fde607642fdd2f931f6fcd999c1ee6c33a7ba07fe08e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.051818Z digest=sha256:357a094cecd65ecf7dbbde3c2e233e7282c19873e21ffea044c57f340fc82bdb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.055493Z digest=sha256:bff5d8c3f6aed806408066e7ff5df8008a9d29f20fa439595010e63c20156e86

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.059075Z digest=sha256:a8477bc3666ba11b1ad7c39de4745a07710aad352fcd907155a140ab57a54e70

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.062788Z digest=sha256:c73ded6c5cf33ffd27863cd6b7ae3db8db1372be5e3039eb30969d733a46f4b5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.066500Z digest=sha256:84feb3f14301c7e8e2bc16173369c51f3445834b249fedf4eca3fe5d946b67bf

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.070246Z digest=sha256:749926c244e06f0db9c9ae13c1dcc4891a1b857e09a14ac813e6ad727438e2a4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.074223Z digest=sha256:ae169cd4e3c13150247120e2bdc68ef1c43813473660efd42a701c94561f1c37

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.077936Z digest=sha256:226334426fb5c2acb9b7db63675e69a4d76b460ea8ab229dae4bea64b17a344b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.081664Z digest=sha256:7a343d13fc42914325d3ffc51a69ffdc63c4a75a7c0ed76b580a3a8433677805

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.085455Z digest=sha256:ad9b46b4ac18052702e6a26e4de3536077aa5abc832f6a2cfd1d62fa5103a1d4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.089129Z digest=sha256:194e158133e3da6ffc7efc205179e72c4044efd32cab2347ea1a53b38dcf1171

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.092842Z digest=sha256:1e02e339d64ff84494a8a665f1a8d32ab573db0b515d3927a5798fd1c000ec04

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.096691Z digest=sha256:b043456a5b5cc39261ccdcf07e1f84566e6717cbfb5052cbcd54feb32f65b130

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.100480Z digest=sha256:41e7991364644f51f741f395c424c539ec1db4323e062b19659b7202cfe92770

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.104389Z digest=sha256:c417b2d0142c96a86269adfaaf4be352312779f19386b572ff31d2eb571e4e2e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.107966Z digest=sha256:578b8194b73564f705f9c4ab907d55d29dd968f31efe9ef61dff6f0011ce3e0b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.111506Z digest=sha256:5f385bb61fa41aa1ae05a03a41d257c3b995907d0a45ffa7614e217a9c876315

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.114848Z digest=sha256:1d680d21577be2c52c73d9260aa9b69715c2b95c5de51fc511a1025df18d749f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.118423Z digest=sha256:451383a41b65649b69923b6613e9731991361dfd010752fb75945163faf9d042

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.121984Z digest=sha256:ed6137b2c6cb82646ba46237ab1fd8735f19113cd2525aea944cfc526f554105

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.125654Z digest=sha256:190f352c9c609dea5cd2010d004d32b24b244914e74b4fc4eca49c81a81539dc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.129246Z digest=sha256:0297b293f9281e5bbe7479ad4cb183a3050c8034e5ef6a9f8a3c3389faeb55f5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.133621Z digest=sha256:87e074bf50a87053ba5fa1bb7064a21e893047da67967ddabf07fd9e5b64cec6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.137216Z digest=sha256:b9ff914dea6a6f282fe271ec5924e999bb3cef34232993478dbd043ee14d87ea

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.140767Z digest=sha256:a5bcb28429dcf366b0f7974a716b7511d9e35b6b37b1340bd09b8f623d107bff

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.144313Z digest=sha256:1e6a8a93def85350dfdaa53c8af91b3742f35982f5ead30254acc5b73dd13e51

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.147868Z digest=sha256:e6c1644eda83e9f5310a851416238214ff5165ba1c1b2f3b5083935ca6565606

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.151316Z digest=sha256:b494cffa9c25f7aaa0cb44f11271cac8efe761e344349065eed19f64b3ba658f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.154780Z digest=sha256:33685198fcdb9709ae3b7088c38673aae467fa193cb7dd191b7506ce9c78a7f5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.158407Z digest=sha256:b2c27419758b4038e494c81823d201aff55090ccbe3279a92c872c6ca4658b1f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.162002Z digest=sha256:b519f0da4366f5150a460761e6705f0d7100411daf0fbd422489323cdf113a1e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.165689Z digest=sha256:1cc4f2bc75bfb8ad69fbbcb8d2b85053f68203dc192fad94d3c36d0bfc7570fe

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T18:47:16.169307Z digest=sha256:3417d6c4db77fd77971c7b88f84c20cadf06fb33f01f631e98ec858a227fc48f

Pith citing papers

No inbound Pith citation observations are available.