Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T18:47:16.169307Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T18:47:16.169307Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 637d4933-64fd-46aa-a527-cab4f0f3067c · outbound
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
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.
Observation dbf15666-9650-478d-aec0-76abc82d30eb · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 2
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.
Observation 51e9eea4-277f-4414-b59a-2c42aa3a908e · outbound
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
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.
Observation 76561e9b-93e7-407d-b561-b981aa11a62f · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Belibassakis and G.A
Reference 4
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.
Observation fbb6106a-3e98-4e7a-ba52-11d1fa670422 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Belibassakis, G.A
Reference 5
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.
Observation 6b2e05ea-d329-4a88-900d-abe2020ed427 · outbound
Reference 6
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.
Observation 31881a83-bd74-4c1b-a552-286de72327ff · outbound
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
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.
Observation e4022018-e126-46cc-ae43-ec8691f9b7bd · outbound
Reference 8
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.
Observation d9b84e37-4db7-4617-8ab8-df976f321256 · outbound
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
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.
Observation e60b30c7-c3a8-47da-ad6d-bb847f1e112d · outbound
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
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.
Observation e4387150-54bb-4e9e-8c8b-5df488973645 · outbound
Reference 11
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.
Observation 28f9cd2e-8842-4a8d-8ebe-a8ccd2761746 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 12
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.
Observation 5a235f2a-82f4-4040-9e6f-6a801f21adbc · outbound
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
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.
Observation 033177a5-ee2d-4e3a-a2be-ea1a7b920563 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Chamberlain and D
Reference 14
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.
Observation 417c80f8-39e5-4f59-b69e-ce81bf9efbae · outbound
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
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.
Observation 0d8ed9f6-1ded-4494-9774-59d133fb975d · outbound
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
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.
Observation d16b7569-f29c-45f8-b1e6-71675af413e2 · outbound
Reference 17
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.
Observation 84edfde1-071d-4cd3-806c-ad52e5ef431a · outbound
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
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.
Observation 7df44818-fb5d-4bf3-98b8-eee1f2bf2562 · outbound
Reference 19
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.
Observation a15d89cf-abef-4c51-89b0-13afd363797e · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 20
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.
Observation d2468cc5-1e42-4600-8ca0-bc3fef92db33 · outbound
Reference 21
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.
Observation e94e2b06-d74f-4662-b94d-6f9c9836019b · outbound
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
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.
Observation a8a33713-d951-44e8-a2e7-2b96ab3b86ef · outbound
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
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.
Observation f47b89bf-f9b7-4562-8a51-7e9769dd549b · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 11, 1246 – 1257
Reference 24
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.
Observation 3924b5d7-0b9e-4974-9e89-82e93e5420c7 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 25
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.
Observation 01c9b9b7-eb59-43a1-b2da-dbdc910ee15e · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 11, 1479 – 1498
Reference 26
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.
Observation d499bc41-e3a5-4657-978c-af8250f44258 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 3–4, 281 – 298
Reference 27
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.
Observation d65e6363-9e06-4785-8402-6af5d0496166 · outbound
Reference 28
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.
Observation 4d817a4b-b9e1-4b64-85a2-7f8f440d7e52 · outbound
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
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.
Observation 1cdbb016-dcca-489f-ba9a-15fb7bd3437c · outbound
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
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.
Observation 8773d67e-133b-43e7-8ad7-04d4624d210b · outbound
Reference 31
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.
Observation f50b6759-f704-437e-b9fa-b3dcfcc8870b · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 32
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.
Observation f49faa8e-c57f-438d-9a4a-324dc58ac64c · outbound
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
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.
Observation a68ad493-6546-4ba1-9153-bdea5423f647 · outbound
Reference 34
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.
Observation 4c5f3ec3-909b-4edf-bb10-2c9af97391d4 · outbound
Reference 35
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.
Observation 4760819e-d96b-4a52-98ff-b7ba5e403daa · outbound
Reference 36
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.
Observation 072dcbaa-fe5e-4532-92f5-4dd6f1a82e00 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 37
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.
Observation 0cfe35b6-bf6c-40f2-83a3-cd39f48fc41f · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries 12, 2775 – 2791
Reference 38
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.
Observation ad9cd4b0-de5d-41a1-9467-1b81d3064a02 · outbound
Reference 39
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.
Observation 0e6be7e7-db8e-431b-ba84-aee94ae438fc · outbound
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
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.
Observation a9ba9dd5-e518-4575-98ba-0c8ed43203be · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries McCamy and R.A
Reference 41
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.
Observation 34902d17-4caa-4818-afd5-48b5a43c069e · outbound
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
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.
Observation 3a61dd5b-5e82-46a3-9e6d-834421568af0 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Naserizadeh, H
Reference 43
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.
Observation c2c57a35-b05a-45e4-96cf-81d40ec90787 · outbound
Reference 44
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.
Observation a97856ed-ae24-4698-aa79-3d9639233893 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Panchang, Bryan R
Reference 45
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.
Observation 8033dff1-cabc-42fa-85f9-b3b64fa6c388 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Porter and D.J
Reference 46
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.
Observation 3c0de436-79cb-4688-9db0-05588a07dadd · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Rodríguez-Tembleque, José A
Reference 47
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.
Observation aa603556-0521-4332-8e22-f49eab1d18af · outbound
Reference 48
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.
Observation 52400cfd-435d-4a6f-b2f7-5ee7ebab478f · outbound
Reference 49
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.
Observation 6d5e960c-9a5a-4fa5-a299-c57088b0f067 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 50
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.
Observation 8b8a7f0e-8c95-4b05-8318-c20bbc2bd319 · outbound
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries Unresolved cited work
Reference 51
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.
Observation 348634e9-2b74-487d-8b74-c158d922fdc1 · outbound
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
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.
Observation 0616ccf1-e793-4329-9eb9-ae2cdc8a74d7 · outbound
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
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.
Observation 737d08db-2e01-4da1-92e3-26be42ecac79 · outbound
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
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.
Observation 04dc0989-100f-44b6-9d17-7967826c4d6b · outbound
Reference 55
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.
Observation a5cdcea5-2ffe-4ae3-9378-c33843dc00d5 · outbound
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
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.
No inbound Pith citation observations are available.