Paper Citation Record · LEDGER

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.26341.

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

pith.paper-citation-record.v1
2607.26341 v1

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T00:16:42.015453Z

measured 37 of 37 standing notices

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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

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Reference resolution

37 of 37 outbound references displayed

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Outbound references

Observation e2d7f76c-eb1b-4180-8049-3bd851926028 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:37.672739Z

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Observation a7c2ea77-1e27-4dc0-915a-285ec93de2c6 · outbound

This paper cites Atzberger, Samuel A.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Atzberger, Samuel A

Reference 2

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Observation e1395994-ba11-4b1d-a5a7-c58e5aae9b71 · outbound

This paper cites Fogelson, and Boyce E.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Fogelson, and Boyce E

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:37.837757Z

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Observation 0b43c760-5678-4fb1-b724-38c4d83dca95 · outbound

This paper cites Thomas Beale,Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm, SIAM Journal on Numerical Analysis47(2009), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Thomas Beale,Smoothing properties of implicit finite difference methods for a diffusion equation in maximum norm, SIAM Journal on Numerical Analysis47(2009), no

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:37.895602Z

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Observation 019a29cf-ae97-4187-90cf-90d0b7adbf5b · outbound

This paper cites 4, 2097–2111.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 4, 2097–2111

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:37.972768Z

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Observation 2f35ea33-1b41-489a-9b5d-b7c20354143a · outbound

This paper cites 2, A1052–A1070.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 2, A1052–A1070

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:38.075361Z

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Observation 0c87192c-2fa7-42c2-a2f6-9a5e06b909e6 · outbound

This paper cites Thomas Beale and Anita T.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Thomas Beale and Anita T

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:38.238333Z

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Observation ae40499c-9fe2-47f5-840e-d368c140411a · outbound

This paper cites Thomas Beale and Wenjun Ying,Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation, Numerische Mathematik141(2019), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Thomas Beale and Wenjun Ying,Solution of the Dirichlet problem by a finite difference analog of the boundary integral equation, Numerische Mathematik141(2019), no

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:38.417054Z

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Observation 326567a9-29e7-4c0e-b15e-3bdecb51dae4 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:38.614037Z

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Observation a0230d42-02a5-42cb-9108-b148a0f4f73e · outbound

This paper cites Peichl,The immersed interface technique for parabolic problems with mixed boundary conditions, SIAM Journal on Numerical Analysis48(2010), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Peichl,The immersed interface technique for parabolic problems with mixed boundary conditions, SIAM Journal on Numerical Analysis48(2010), no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:38.839763Z

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Observation fa2a309c-1d7d-4aef-8002-07de7350db3e · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:38.926988Z

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Observation 2b9a13a1-3a7d-409e-8bb7-74e75de2d299 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.128466Z

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Observation c3e94843-2702-4cbc-a58b-2dffbb657560 · outbound

This paper cites 16, 7503–7542.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 16, 7503–7542

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.304680Z

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Observation df73ed9c-5538-41a9-bb37-ed9e936912e5 · outbound

This paper cites 4, 498–552.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 4, 498–552

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.406947Z

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Observation 930b5170-2c92-4ac6-8a75-99866fad676e · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.461981Z

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Observation 993328cd-587c-4699-95ef-92e44f9319cc · outbound

This paper cites 2, 797–828.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 2, 797–828

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.502676Z

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Observation 6e0e2abd-cc60-4a54-b72b-d8d1e16f2853 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.621374Z

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Observation 6c9968fb-3457-4cf9-8ac9-54ce26ab2ffa · outbound

This paper cites 4, 583–608.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 4, 583–608

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.754570Z

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Observation 828dfa81-0b5d-4fcc-b9d1-195dc0cea546 · outbound

This paper cites LeVeque and Zhilin Li,The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM Journal on Numerical Analysis31(1994), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains LeVeque and Zhilin Li,The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM Journal on Numerical Analysis31(1994), no

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:39.921604Z

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Observation 7197cb41-6c60-4509-9186-f089bbb440d2 · outbound

This paper cites Sun,Flow-driven cell migration under external electric fields, Physical Review Letters115(2015), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Sun,Flow-driven cell migration under external electric fields, Physical Review Letters115(2015), no

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.014335Z

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Observation 9ba22c36-28d5-4681-98de-3041a45ceb37 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.201297Z

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Observation a8bc4b11-31f8-4497-b8f6-ea354790e4c3 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.384067Z

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Observation 1c68adac-a7c3-47cf-938b-4f7a9acd1dce · outbound

This paper cites 3, 622–635.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 3, 622–635

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.512350Z

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Observation 5ae451c5-be43-4861-93ab-c365f99ecf09 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.590795Z

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Observation 25498944-4de2-45ad-b872-950d6b9782c3 · outbound

This paper cites Marques, Jean-Christophe Nave, Rodolfo R.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Marques, Jean-Christophe Nave, Rodolfo R

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.705297Z

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Observation eb13298d-0baa-41ab-8157-e741d7aedd9b · outbound

This paper cites 2, 285–299.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 2, 285–299

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.883798Z

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Observation 07b35a98-3a5b-41bc-8cd5-e586067593d1 · outbound

This paper cites 1, 144–157.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 1, 144–157

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:40.940787Z

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Observation 44acfcc8-cae3-4f3a-93ba-7160870d413b · outbound

This paper cites 2, 620–635.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 2, 620–635

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.038699Z

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Observation 9b96dbf8-6f3d-4fe6-ab91-800073339c3d · outbound

This paper cites Eisenberg,A model of electrodiffusion and osmotic water flow and its energetic structure, Physica D: Nonlinear Phenomena240(2011), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Eisenberg,A model of electrodiffusion and osmotic water flow and its energetic structure, Physica D: Nonlinear Phenomena240(2011), no

Reference 29

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Observation 7efce184-e2cd-42cb-944e-a382c4106685 · outbound

This paper cites 3, 875–889.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 3, 875–889

Reference 30

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Observation 06911df1-83f1-450d-a36b-988b4e7ce2b6 · outbound

This paper cites 2, 531–550.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains 2, 531–550

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.338707Z

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Observation 37736e24-bab7-48f2-b3d0-e72c7eb7da95 · outbound

This paper cites Stroka, Hongyuan Jiang, Shih Hsun Chen, Ziqiu Tong, Denis Wirtz, Sean X.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Stroka, Hongyuan Jiang, Shih Hsun Chen, Ziqiu Tong, Denis Wirtz, Sean X

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.442638Z

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Observation d39af411-3b42-4294-8f78-e2d2ad3e8e47 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.571728Z

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Observation 05e529a7-fac9-42d8-9c0e-97f99073d9b4 · outbound

This paper cites Bube,The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions, SIAM Journal on Numerical Analysis37(2000), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Bube,The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions, SIAM Journal on Numerical Analysis37(2000), no

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.682049Z

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Observation 98bbb328-64e1-4aea-a9f9-fa2847d53979 · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.827399Z

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Observation bc8190b6-de30-492b-943a-86e9b0185745 · outbound

This paper cites Henriquez,A kernel-free boundary integral method for elliptic boundary value problems, Journal of Computational Physics227(2007), no.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Henriquez,A kernel-free boundary integral method for elliptic boundary value problems, Journal of Computational Physics227(2007), no

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:41.910501Z

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Observation 3621021f-5980-4ffa-97d1-654826fc073e · outbound

This paper cites an unresolved cited work.

A Cartesian Grid Method for Advection-Diffusion Equations with Robin Boundary Conditions on Moving Domains Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T00:16:42.015453Z

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