Paper Citation Record · LEDGER

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators

As of 6 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.19500.

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pith.paper-citation-record.v1
2607.19500 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T12:39:49.613914Z

measured 40 of 40 standing notices

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measured 0 of 0 inbound itemization

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 758b9269-e97f-46e6-ac1b-d0a0760bc76c · outbound

This paper cites New York, NY: Springer, 1998.doi:https://doi.org/10.1007/b98828.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators New York, NY: Springer, 1998.doi:https://doi.org/10.1007/b98828

Reference 1

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Observation e503a109-d6df-4bf2-9757-99e692c85024 · outbound

This paper cites Lahaye, J.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Lahaye, J

Reference 2

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Unresolved cited work

Reference 3

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This paper cites New York, NY: Springer, 2008.doi:10.1007/978-0-387-68805-3.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators New York, NY: Springer, 2008.doi:10.1007/978-0-387-68805-3

Reference 4

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Unresolved cited work

Reference 5

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Observation bed5a0e0-7edc-4bdf-81b9-86218b19b151 · outbound

This paper cites Benchmarking preconditioned boundary integral formula- tions for acoustics.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Benchmarking preconditioned boundary integral formula- tions for acoustics

Reference 6

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Observation 0e3c7053-b001-441b-8f3f-02097dd627ae · outbound

This paper cites On the spectrum of volume integral operators in acous- tic scattering.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators On the spectrum of volume integral operators in acous- tic scattering

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T12:43:48.249999Z

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Observation 499d3b33-c7f1-4cf3-99bf-9c5820231b41 · outbound

This paper cites Volume integral equations and single- trace formulations for acoustic wave scattering in an inhomogeneous medium.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Volume integral equations and single- trace formulations for acoustic wave scattering in an inhomogeneous medium

Reference 8

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Observation b7e97cf7-fc3c-451b-9f62-7dfa4c15428b · outbound

This paper cites Coupled boundary and volume integral equations for electromagnetic scattering.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Coupled boundary and volume integral equations for electromagnetic scattering

Reference 9

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Observation a35b380b-315c-4948-8207-e4fc1517ff18 · outbound

This paper cites Nested Volume-Surface Integral Equations for Acoustics.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Nested Volume-Surface Integral Equations for Acoustics

Reference 10

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Observation 8456d4fe-1646-43ce-aa51-69bf9397f7dc · outbound

This paper cites Frequency-robust preconditioning of boundary inte- gral equations for acoustic transmission.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Frequency-robust preconditioning of boundary inte- gral equations for acoustic transmission

Reference 11

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Observation 48407114-820a-49ba-bdd4-53827924789e · outbound

This paper cites Benchmark problems for transcranial ultrasound simulation: Intercom- parison of compressional wave models.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Benchmark problems for transcranial ultrasound simulation: Intercom- parison of compressional wave models

Reference 12

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Observation 2810da70-aaf1-4982-b6a4-bf19fb817e8d · outbound

This paper cites GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems

Reference 13

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This paper cites Oxford: Oxford University Press, Oct.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Oxford: Oxford University Press, Oct

Reference 14

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Observation df1a4b9e-94d6-4d8d-a738-e8981cf960de · outbound

This paper cites A fast algorithm for particle simulations.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators A fast algorithm for particle simulations

Reference 15

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Observation 6d469dc9-6b46-466a-9ac8-c1ac95639d1b · outbound

This paper cites The fast multipole method: numerical implementation.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators The fast multipole method: numerical implementation

Reference 16

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Observation 06102e3a-54ca-4bee-997a-dac7d4ae7823 · outbound

This paper cites ExaFMM: a high- performance fast multipole method library with C++ and Python in- terfaces.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators ExaFMM: a high- performance fast multipole method library with C++ and Python in- terfaces

Reference 17

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Unresolved cited work

Reference 18

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Observation a2b9dc05-af5b-4540-9180-7320a4cc055a · outbound

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Unresolved cited work

Reference 19

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Observation 3c50e93b-a6cc-4f44-b46f-3dcbed9be0cd · outbound

This paper cites A fast boundary element method for the scattering analysis of high-intensity focused ultrasound.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators A fast boundary element method for the scattering analysis of high-intensity focused ultrasound

Reference 20

Resolution: verified exact; doi, observed 2026-08-01T12:43:47.780617Z

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This paper cites Evaluation of fetal exposure to environmental noise using a computer-generated model.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Evaluation of fetal exposure to environmental noise using a computer-generated model

Reference 21

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Observation 89a7e31d-fc2d-433b-8733-0152dbf2e2aa · outbound

This paper cites Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis

Reference 22

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Observation 34a50441-1e03-4f70-9bb6-3e40edfed5cd · outbound

This paper cites Memory-efficient compression of DH2-matrices for high-frequency Helmholtz problems.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Memory-efficient compression of DH2-matrices for high-frequency Helmholtz problems

Reference 23

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Observation b22e01dc-9830-4238-931e-2c7796cedcb0 · outbound

This paper cites Computationally Effi- cient Boundary Element Methods for High-Frequency Helmholtz Problems in Unbounded Domains.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Computationally Effi- cient Boundary Element Methods for High-Frequency Helmholtz Problems in Unbounded Domains

Reference 24

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Observation fce7952d-adbb-45c2-bde2-ac21cbfac631 · outbound

This paper cites Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit

Reference 25

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Observation 3d0fc799-91c2-4f11-aaca-552896e09fce · outbound

This paper cites Adaptive Recompression ofH-Matrices for BEM.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Adaptive Recompression ofH-Matrices for BEM

Reference 26

Resolution: verified exact; doi, observed 2026-08-01T12:43:46.984713Z

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Observation 768066ac-aff6-4162-8506-018ccd31be54 · outbound

This paper cites Improving the Accuracy of the Adaptive Cross Approximation With a Convergence Cri- terion Based on Random Sampling.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Improving the Accuracy of the Adaptive Cross Approximation With a Convergence Cri- terion Based on Random Sampling

Reference 27

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Observation 7b0de7b4-f973-4be3-837e-4c8bbfb16c50 · outbound

This paper cites On the Adaptive Cross Ap- proximation for the Magnetic Field Integral Equation.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators On the Adaptive Cross Ap- proximation for the Magnetic Field Integral Equation

Reference 28

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Observation 75dc8c13-0bc0-47e4-b605-e78526018dcf · outbound

This paper cites On the convergence of the ACA.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators On the convergence of the ACA

Reference 29

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Observation 20e7c1f0-62d3-40ba-8440-365b20cc5bc1 · outbound

This paper cites On the Convergence of the ACA Algorithm for Radiation and Scattering Problems.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators On the Convergence of the ACA Algorithm for Radiation and Scattering Problems

Reference 30

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Observation 103720c9-8f11-434e-abc6-ad942b5cc820 · outbound

This paper cites Stochastic Estimation of the Frobenius Norm in the ACA Convergence Criterion.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Stochastic Estimation of the Frobenius Norm in the ACA Convergence Criterion

Reference 31

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This paper cites Hier- archical matrices based on a weak admissibility criterion.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Hier- archical matrices based on a weak admissibility criterion

Reference 32

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Observation c433323d-0097-4d08-8fa4-4117f119a6de · outbound

This paper cites Introduction to hierarchical matrices with applications.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Introduction to hierarchical matrices with applications

Reference 33

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This paper cites New York, NY: Chap- man and Hall/CRC, 2015.doi:10.1201/9781315371412.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators New York, NY: Chap- man and Hall/CRC, 2015.doi:10.1201/9781315371412

Reference 34

Resolution: verified exact; doi, observed 2026-08-01T12:43:46.651253Z

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Observation ce5350ef-b5a1-441d-b3a1-835ee10b00cc · outbound

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Adaptive low-rank approximation of collocation matrices

Reference 35

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Array programming with NumPy

Reference 36

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This paper cites Numba: A LL VM- based Python JIT compiler.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Numba: A LL VM- based Python JIT compiler

Reference 37

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Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Bempp-cl: A fast Python based just-in-time compiling boundary element library

Reference 38

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This paper cites Full-wave modeling of transcranial ultrasound us- ing volume-surface integral equations and CT-derived heterogeneous skull data.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Full-wave modeling of transcranial ultrasound us- ing volume-surface integral equations and CT-derived heterogeneous skull data

Reference 39

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This paper cites Hybrid matrix compression for high- frequency problems.

Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators Hybrid matrix compression for high- frequency problems

Reference 40

Resolution: verified exact; doi, observed 2026-08-01T12:43:46.566063Z

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