Pith. sign in

Paper Citation Record · LEDGER

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2411.18026.

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

pith.paper-citation-record.v1
2411.18026 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:41:01.856619Z

measured 31 of 31 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

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy29
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0cc64858-eb97-49c4-9113-6a9b445435eb · outbound

This paper cites Recent advances in acoustic boundary element methods,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Recent advances in acoustic boundary element methods,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.316131Z

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=2026-08-12T11:41:01.724451Z digest=sha256:356e2b056578ab1d81b35b6838def066e886609a33dd304de7fdb2d4214893b2

Observation 9088368f-4857-413d-885c-1a2ae9838a53 · outbound

This paper cites Multipole for scattering computations: Spectral discretiza- tion, stabilization, fast solvers,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Multipole for scattering computations: Spectral discretiza- tion, stabilization, fast solvers,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.304197Z

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=2026-08-12T11:41:01.729754Z digest=sha256:8e7c0a30686c70e9858356b78cc60b33612ab6a048d319a35297a0fac9f991c8

Observation 1a181a2a-9b5e-4253-9dc7-1662ff642b43 · outbound

This paper cites A fast direct solver for boundary in- tegral equations in two dimensions,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for boundary in- tegral equations in two dimensions,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.292595Z

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=2026-08-12T11:41:01.734137Z digest=sha256:984783e9e603e27f548bf7d3d548b3286b29eee5911d532400895bb6a7dd9b8f

Observation 69b0a726-2912-4166-b542-45633eeefed3 · outbound

This paper cites The boundary element method in acoustics: A survey,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity The boundary element method in acoustics: A survey,

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T11:41:01.738959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:41:01.738959Z digest=sha256:2c09b8c65d86983a798de62c85d5cd750dd0eb0d6f5c166e5b1be6001d66ca0d

Observation 70a691a3-3fda-4cb0-93f9-8e6beca33328 · outbound

This paper cites an unresolved cited work.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:02.272783Z

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=2026-08-12T11:41:01.743375Z digest=sha256:4852c2548d54d4478e6141d98405ac953c6d16a974fb619440befc825470bcb8

Observation 895e3208-0556-47ac-88f9-b96fb356802e · outbound

This paper cites Rapid solution of integral equations of classical potential theory,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Rapid solution of integral equations of classical potential theory,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.261446Z

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=2026-08-12T11:41:01.748174Z digest=sha256:6c8a42c4f25ed14f38737e968869076c1225b09b366e89a7c7488b3dec5205bd

Observation 061e0175-2c25-4c78-a5f3-5bcfcfdc00d0 · outbound

This paper cites A fast direct solver for scattering prob- lems involving elongated structures,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for scattering prob- lems involving elongated structures,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.249011Z

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=2026-08-12T11:41:01.753045Z digest=sha256:88f570cc8045d441ffc8ce9fbd40c5fbcc17da7bfd2a62f7ad7d5831b8fe3781

Observation 31650f5a-23ed-4c5f-8179-cacb7b9ebf65 · outbound

This paper cites Fast direct solver for transmission boundary value problems for Helmholtz’ eqation in 2D,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Fast direct solver for transmission boundary value problems for Helmholtz’ eqation in 2D,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.236705Z

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=2026-08-12T11:41:01.757265Z digest=sha256:dbebe2b0dee09ee3bc1a5b35e4f4898fc61b205e6f1bde5449f67a37f94c1881

Observation 2adb8b07-f908-4aec-9c75-6427714b1968 · outbound

This paper cites A fast direct solver for quasi-periodic scat- tering problems,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for quasi-periodic scat- tering problems,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.222554Z

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=2026-08-12T11:41:01.761598Z digest=sha256:c5937a34c707158ba3bb6114918bd5b12fe86abffd465b0db460a23d80b5641e

Observation 9b4b793f-8474-4ae3-96cc-7533429d8bf2 · outbound

This paper cites A fast direct solver for scat- tering from periodic structures with multiple material interfaces in two dimensions,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for scat- tering from periodic structures with multiple material interfaces in two dimensions,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.209685Z

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=2026-08-12T11:41:01.765928Z digest=sha256:aa782982571a3b12fdb7c77f9dfe083d9f8e0482893630ffc1c248b1f6f03cca

Observation 77e23ab0-a001-48a1-becc-f8a7f13d8583 · outbound

This paper cites A fast direct solver using the Burton- Miller formulation for one-periodic transmission problems of Helmholt’ equation in 2D,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver using the Burton- Miller formulation for one-periodic transmission problems of Helmholt’ equation in 2D,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.196701Z

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=2026-08-12T11:41:01.770266Z digest=sha256:a86d357caeec6fca0422c3ddf695f0c1d4917c5a41ed191d18552e81e7106356

Observation ae4efa68-b7b8-468f-a545-ecdbc037f528 · outbound

This paper cites Fast direct solvers for integral equations in complex three-dimensional do- mains,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Fast direct solvers for integral equations in complex three-dimensional do- mains,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.184626Z

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=2026-08-12T11:41:01.774236Z digest=sha256:c3d4d41cfa4486ddd2ea3466b112c05b00966079b09224461e019321ba58539a

Observation ee42087f-3b95-4c79-af0a-feae2e846252 · outbound

This paper cites A review on fast direct methods of surface integral equations for analysis of electromagnetic scattering from 3-D PEC objects,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A review on fast direct methods of surface integral equations for analysis of electromagnetic scattering from 3-D PEC objects,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.170843Z

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=2026-08-12T11:41:01.779151Z digest=sha256:4fc9ea46ac36f20530b38467fa443b28b8c97cb787554840de332b2f0bc9daec

Observation da54da30-5ad9-4665-8fdd-a0f5d20d4d17 · outbound

This paper cites Theory and implementation of H-matrix based iterative and direct solvers for helmholtz and elastody- namic oscillatory kernels,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Theory and implementation of H-matrix based iterative and direct solvers for helmholtz and elastody- namic oscillatory kernels,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.158517Z

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=2026-08-12T11:41:01.783663Z digest=sha256:8a9007d66667f739030620cf2ddd8750ce625ca133c1a4fbde58ce18a209e648

Observation 6c65527a-03ef-4ec1-ac02-58687afcfdef · outbound

This paper cites Improvement of hierarchical matrices for 3d elastodynamic problems with a complex wavenumber,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Improvement of hierarchical matrices for 3d elastodynamic problems with a complex wavenumber,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.147153Z

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=2026-08-12T11:41:01.787218Z digest=sha256:9fb39c7ae7378235930613978884d06cbd01aedbab2e4ee8f944a2a9990c042e

Observation 459841ea-3154-41f2-8ee1-053c15a23023 · outbound

This paper cites Introduction to hierar- chical matrices with applications,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Introduction to hierar- chical matrices with applications,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.132905Z

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=2026-08-12T11:41:01.790955Z digest=sha256:27b89ba8046184edab9344f2745466b391bd0f9ea80b6d4be17d71b7102fcde7

Observation 3f37719d-4a5e-4d11-a197-e28929e2459e · outbound

This paper cites Matrix valued adaptive cross approxi- mation,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Matrix valued adaptive cross approxi- mation,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.118445Z

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=2026-08-12T11:41:01.794730Z digest=sha256:7a29b6c9f957b0d6bdaa0643da3343e1aa0f7490b76490f82f1e37bc9d65cb88

Observation 8ee46097-102c-4405-bfaf-e6b2eb546fb5 · outbound

This paper cites Boundary integral equations and boundary elements methods in elastodynamics,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Boundary integral equations and boundary elements methods in elastodynamics,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.103494Z

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=2026-08-12T11:41:01.798317Z digest=sha256:6c659db2581019927444ce39e389d522dd8c3660cee46fea6bb2b803575df177

Observation b8355b17-e7c7-4ef1-a670-957aaba843c3 · outbound

This paper cites Three-dimensional hybrid safe-bem for elastic guided-wave scattering in a plate with finite width,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Three-dimensional hybrid safe-bem for elastic guided-wave scattering in a plate with finite width,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.089764Z

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=2026-08-12T11:41:01.802776Z digest=sha256:2f2b5174b556e948a6fd9128252924b30b53d12b68fd35c6cb33b935f1cc33b1

Observation b4595c4d-a7c8-45c9-b5df-8284259ad1e2 · outbound

This paper cites An updating algorithm for subspace tracking,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity An updating algorithm for subspace tracking,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.072716Z

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=2026-08-12T11:41:01.806447Z digest=sha256:2507615b2e3786b46ddfa326c617728779cc94661e435409b243332100dba577

Observation 754a5100-4086-4a05-9468-3e4897bcc883 · outbound

This paper cites On fictitious frequencies using dual series representation,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity On fictitious frequencies using dual series representation,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.058763Z

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=2026-08-12T11:41:01.810793Z digest=sha256:fa4bdaf8f02656cdef770c1dd7e953fdbebf6625cb9ad9f33dfb0e6a076cd94e

Observation c30425f2-0a47-4700-bee9-6bd981f4cef3 · outbound

This paper cites Application of fast multipole galerkin boundary integral equation method to elastostatic crack problems in 3d,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Application of fast multipole galerkin boundary integral equation method to elastostatic crack problems in 3d,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.046213Z

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=2026-08-12T11:41:01.815567Z digest=sha256:9b2ae9fa43514771be17baf2b5c63d1f9c9d36f81e6b8978c70745db7309acaa

Observation 18958c53-f989-4fe2-a345-8d0a45909430 · outbound

This paper cites A direct solver with O(N) complexity for integral equations on one-dimensional domains,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A direct solver with O(N) complexity for integral equations on one-dimensional domains,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.032652Z

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=2026-08-12T11:41:01.819480Z digest=sha256:4305ce982cc48af92b3e2bfd4a291bfd0e95aacfdfeacb94c46ce75e684243f9

Observation 2f0135f5-d34f-4c66-91cc-cf39aa2db974 · outbound

This paper cites Eringen and E.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Eringen and E

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.018222Z

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=2026-08-12T11:41:01.823717Z digest=sha256:b622c050f91e908b18e8a6cc76f71dea4625248b0f73620bb7618eebe40c56c3

Observation c85bb774-d5f3-4d16-8bb8-24e544dd6eee · outbound

This paper cites The application of integral equation methods to the numerical solution of some exterior boundary-value problems,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity The application of integral equation methods to the numerical solution of some exterior boundary-value problems,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.004823Z

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=2026-08-12T11:41:01.828297Z digest=sha256:57bdf32e089ce4be8e3882e4f7776501b10b47f312d55218f0481142a3f86f9e

Observation d6171cca-e919-4b4d-a9e3-b3ed88cd9c06 · outbound

This paper cites Fast wavefield evaluation method based on mod- ified proxy-surface-accelerated interpolative decomposition for two- dimensional scattering problems,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Fast wavefield evaluation method based on mod- ified proxy-surface-accelerated interpolative decomposition for two- dimensional scattering problems,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:01.990814Z

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=2026-08-12T11:41:01.833611Z digest=sha256:aa9168eba8eebaebe0e95f25cc1defc1097c2d4e00fb7b946a9d498035589e10

Observation 5a4fa714-b7f1-4b03-b6ca-8ceb4d418d59 · outbound

This paper cites Yoshida, Applications of Fast Multipole Method to Boundary Integral Equation Method.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Yoshida, Applications of Fast Multipole Method to Boundary Integral Equation Method

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:01.975066Z

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=2026-08-12T11:41:01.837805Z digest=sha256:987bebf113dee66fd6885a2122801903c36bb53205f86adf62a7fcd07f1015af

Observation e079d05d-c9a0-4e54-9424-69d23c983989 · outbound

This paper cites On the compression of low rank matrices,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity On the compression of low rank matrices,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:01.957327Z

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=2026-08-12T11:41:01.842132Z digest=sha256:3bf9285c7909ad91efee5c80a8ff5b303f242475db03434b4d98d13d78912589

Observation 5bd5397a-7f33-4847-b899-aff3b7750c91 · outbound

This paper cites Eigen v3.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Eigen v3

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:01.936632Z

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=2026-08-12T11:41:01.847170Z digest=sha256:7d8d0f9a1871b9f69767a873b57e756b2464c75ac052074602c2e096157e3193

Observation 10d42379-2cc5-4095-9a72-180bdb6f733c · outbound

This paper cites Transmission problems for the Helmholtz equation,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Transmission problems for the Helmholtz equation,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:01.917928Z

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=2026-08-12T11:41:01.851289Z digest=sha256:675c7aade5d59be653f37581e717d2c481efee9d87323b43f13d909d5bc9bcdc

Observation edf0198a-878f-420e-bdc5-a955bcb976d2 · outbound

This paper cites FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:01.900769Z

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=2026-08-12T11:41:01.856619Z digest=sha256:a5e6867285378c1d6a32bc94c46f3a74ada3605ad34e52c6d07af620644f05e2

Pith citing papers

No inbound Pith citation observations are available.