Paper Citation Record · LEDGER

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids

As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2607.14403.

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pith.paper-citation-record.v1
2607.14403 v2

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T02:16:41.606562Z

measured 38 of 38 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.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

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External citation measurements

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Outbound references

Observation 28259483-3d63-407a-a155-ebeaae671c19 · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.517113Z

Source-reported events for the cited work

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Observation 0431d0ca-1bac-4bac-a1d1-143d78c67195 · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.527388Z

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Unavailable: canonical work link unavailable.

Observation 3beab37a-87c9-44e2-ab8d-fad53afef50e · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.529754Z

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Observation 0d3d49c1-5c4c-4024-b4df-a4b3dda67411 · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.532098Z

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Observation 447bed0f-542a-41f6-a66a-f0e891fb4a88 · outbound

This paper cites Properties of all derived operators.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Properties of all derived operators

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.534682Z

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Observation b9d60411-9f00-420a-9f8d-8943a9d848b0 · outbound

This paper cites Solutions for the DRP interior stencils of [16] are labeledD ± p−b.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Solutions for the DRP interior stencils of [16] are labeledD ± p−b

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.537192Z

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Observation ffdd3cb2-3106-48cd-8d67-c152af3aa81e · outbound

This paper cites Multi- block simulations in general relativity: high-order dis- cretizations, numerical stability and applications.Clas- sical and Quantum Gravity, 22(24):5283–5321, December 2005.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Multi- block simulations in general relativity: high-order dis- cretizations, numerical stability and applications.Clas- sical and Quantum Gravity, 22(24):5283–5321, December 2005

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.563894Z

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Observation b8cffc83-659c-44e3-9d77-c451fdb280bf · outbound

This paper cites The norm of theD ± 3−1 operator is positive definite in the range −0.6≲α l,r ≲1.4, and the range−1/5≤α l,r <4/5 min- imizes the spectral radius.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids The norm of theD ± 3−1 operator is positive definite in the range −0.6≲α l,r ≲1.4, and the range−1/5≤α l,r <4/5 min- imizes the spectral radius

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.539530Z

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Observation afe30a14-6521-461d-a470-62150e01b02f · outbound

This paper cites The free param- eter can be used to minimize the total error function, and this results in a unique minimum andSis naturally negative semi-definite for this minimum.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids The free param- eter can be used to minimize the total error function, and this results in a unique minimum andSis naturally negative semi-definite for this minimum

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.542156Z

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Observation 7932d7ab-fc82-4e82-9252-877bb81c1c1f · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.544391Z

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Observation 22f914b5-4546-4273-8f2b-7c9c62da06ca · outbound

This paper cites This suggests that around this order of accuracy, dispersion error is a significant driver in the overallL 2 error.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids This suggests that around this order of accuracy, dispersion error is a significant driver in the overallL 2 error

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.547204Z

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Observation 23af8d06-28ed-462a-9b4a-f960a510a205 · outbound

This paper cites Roofline: an insightful visual performance model for multicore architectures.Commun.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Roofline: an insightful visual performance model for multicore architectures.Commun

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.550112Z

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Observation 70ae5dee-01b7-4157-8258-f412aa3d52db · outbound

This paper cites Instruc- tion roofline: An insightful visual performance model for gpus.Concurrency and Computation: Practice and Ex- perience, 34(20):e6591, 2022.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Instruc- tion roofline: An insightful visual performance model for gpus.Concurrency and Computation: Practice and Ex- perience, 34(20):e6591, 2022

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.552164Z

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Observation 6778168b-3bad-4323-9a7a-c2c8f646552d · outbound

This paper cites High-performance xpu stencil computations in julia, 2022.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids High-performance xpu stencil computations in julia, 2022

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.554668Z

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Observation 6a677205-4970-423c-922d-0eff6a185b0d · outbound

This paper cites Duez, Lawrence E.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Duez, Lawrence E

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.556726Z

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Observation fa7c7cbc-b3d6-487b-8520-792b12dc7639 · outbound

This paper cites Dis- tributed parallelization of xpu stencil computations in ju- lia.Proceedings of the JuliaCon Conferences, 6(65):137, 2024.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Dis- tributed parallelization of xpu stencil computations in ju- lia.Proceedings of the JuliaCon Conferences, 6(65):137, 2024

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.558729Z

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Observation 78e56f67-dc8d-4316-b0ce-ce46251924ef · outbound

This paper cites Traditionally, the interior stencil is taken to be of min- imal width for a given order of interior accuracy.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Traditionally, the interior stencil is taken to be of min- imal width for a given order of interior accuracy

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.502189Z

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Unavailable: canonical work link unavailable.

Observation 7d39d6f2-6e26-4fd2-878b-4c3419a1fd0c · outbound

This paper cites Optimized high-order derivative and dis- sipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Optimized high-order derivative and dis- sipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.561092Z

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Observation 9f419a18-f050-4d53-82d6-c79ec3fefac8 · outbound

This paper cites A multi-block infrastructure for three- dimensional time-dependent numerical relativity.Classi- cal and Quantum Gravity, 23(16):S553–S578, 2006.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids A multi-block infrastructure for three- dimensional time-dependent numerical relativity.Classi- cal and Quantum Gravity, 23(16):S553–S578, 2006

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.566068Z

Source-reported events for the cited work

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Observation 37a652c1-2a33-4417-b3d4-0ac8480533a1 · outbound

This paper cites Scheel, Harald P.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Scheel, Harald P

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.568441Z

Source-reported events for the cited work

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Observation fd229846-2359-4501-9295-764539a8d5bf · outbound

This paper cites Wittek, Mekhi Dhesi, Leor Barack, Harald P.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Wittek, Mekhi Dhesi, Leor Barack, Harald P

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.570620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4dbb511-104c-498a-85b0-72a6014ab5a6 · outbound

This paper cites Sandberg.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Sandberg

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.572687Z

Source-reported events for the cited work

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Observation 91a5bb59-89c6-42fb-ac66-744180c2273e · outbound

This paper cites Computational Aeroacoustics.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Computational Aeroacoustics

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.574547Z

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Observation 5670a0ad-d1b7-4a96-ad4a-8aa9a3b5a330 · outbound

This paper cites A high-order ac- curate embedded boundary method for first order hy- perbolic equations.Journal of Computational Physics, 334:255–279, 2017.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids A high-order ac- curate embedded boundary method for first order hy- perbolic equations.Journal of Computational Physics, 334:255–279, 2017

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.576551Z

Source-reported events for the cited work

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Observation 30b0e93a-71dc-42a3-84ee-7cd940c6bfb6 · outbound

This paper cites Schnetter, and N.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Schnetter, and N

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.578664Z

Source-reported events for the cited work

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Observation 87ee7e7b-a131-4291-8c07-a566bec1f242 · outbound

This paper cites Diagonal-norm upwind sbp operators.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Diagonal-norm upwind sbp operators

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.581261Z

Source-reported events for the cited work

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Observation e269b492-2e29-4f5e-8847-6d4c40c7a73a · outbound

This paper cites Full-spectrum dispersion relation preserving summation-by-parts oper- ators.SIAM Journal on Numerical Analysis, 62(4):1565– 1588, 2024.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Full-spectrum dispersion relation preserving summation-by-parts oper- ators.SIAM Journal on Numerical Analysis, 62(4):1565– 1588, 2024

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.583156Z

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Observation d9414d00-2baf-4a9c-b854-d16a71c5b4d4 · outbound

This paper cites Dual-pairing summation by parts finite dif- ference methods for large scale elastic wave simulations in 3d complex geometries.Journal of Computational Physics, 454:110966, 2022.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Dual-pairing summation by parts finite dif- ference methods for large scale elastic wave simulations in 3d complex geometries.Journal of Computational Physics, 454:110966, 2022

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.585396Z

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Observation 7ae359ff-11e9-4d52-bc67-5cbc2c641b19 · outbound

This paper cites Spectrally-tuned compact finite- difference schemes with domain decomposition and appli- cations to numerical relativity.Journal of Computational Physics, 508:112958, 2024.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Spectrally-tuned compact finite- difference schemes with domain decomposition and appli- cations to numerical relativity.Journal of Computational Physics, 508:112958, 2024

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.587346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4c37032-8652-4218-b3e2-f409e172d682 · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.589460Z

Source-reported events for the cited work

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Observation 97e6e09a-7dad-42a8-88c0-ae47ac2cc05e · outbound

This paper cites Upwind summation- by-parts finite differences: Error estimates and weno methodology.Journal of Scientific Computing, 100:75, 2024.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Upwind summation- by-parts finite differences: Error estimates and weno methodology.Journal of Scientific Computing, 100:75, 2024

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.591816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec78c4a0-9669-4535-94d1-d00539e25918 · outbound

This paper cites High-accuracy finite-difference schemes for solving elastodynamic prob- lems in curvilinear coordinates within multiblock ap- proach.Applied Numerical Mathematics, 93:176–194,.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids High-accuracy finite-difference schemes for solving elastodynamic prob- lems in curvilinear coordinates within multiblock ap- proach.Applied Numerical Mathematics, 93:176–194,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.593790Z

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Observation adb8ca05-0d0e-4c26-bd7e-420f112ddb46 · outbound

This paper cites Parsani, David I.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Parsani, David I

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.597766Z

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Observation e3e22b9e-b77d-4d43-ba10-21324451a929 · outbound

This paper cites R¨ ass, I.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids R¨ ass, I

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.599945Z

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Observation 7f9355ae-ce8c-440d-8048-1037a83be24a · outbound

This paper cites Julia: A fresh approach to numerical com- puting.SIAM Review, 59(1):65–98, 2017.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Julia: A fresh approach to numerical com- puting.SIAM Review, 59(1):65–98, 2017

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.602344Z

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Observation 86f05183-b8d8-438d-a57c-acc6367f04fa · outbound

This paper cites van Rees.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids van Rees

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.604184Z

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Observation f27b8e11-f3ff-4a01-83d1-64ae443c6aa9 · outbound

This paper cites Tensorial.jl: a Julia package for tensor operations, 2024.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Tensorial.jl: a Julia package for tensor operations, 2024

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.606562Z

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Unavailable: canonical work link unavailable.

Observation 83e9d58d-db35-4810-b9ef-cd5be12b053c · outbound

This paper cites an unresolved cited work.

Upwind embedded boundary SBP operators: New high order numerical schemes for arbitrarily shaped domains with Cartesian grids Unresolved cited work

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-02T02:16:41.595818Z

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