Paper Citation Record · LEDGER

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.25192.

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

pith.paper-citation-record.v1
2607.25192 v1

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T03:21:12.924418Z

measured 37 of 37 standing notices

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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 dece58a2-72d1-46a3-8a6f-a13f1c4c1de4 · outbound

This paper cites Hirani.Discrete Exterior Calculus.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Hirani.Discrete Exterior Calculus

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:10.720398Z

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Observation c4da9ec9-99e5-4603-b8c3-f39ab6c29a3a · outbound

This paper cites Discrete Exterior Calculus.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Discrete Exterior Calculus

Reference 2

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Observation 337f2c6e-5ace-4451-943a-e858fa67f66b · outbound

This paper cites Academic Press, 1998.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Academic Press, 1998

Reference 3

Resolution: verified exact; doi, observed 2026-08-01T03:24:18.034965Z

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Observation 81d1e138-e95a-4b78-b40c-fc4a1ee47d6f · outbound

This paper cites Digital geometry processing with discrete exterior calculus.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Digital geometry processing with discrete exterior calculus

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:11.094689Z

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Observation 88c4bae9-7824-45b5-8b88-11cacb67033a · outbound

This paper cites Stable, circulation-preserving, simplicial fluids.ACM Transactions on Graphics, 26(1):4, 2007.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Stable, circulation-preserving, simplicial fluids.ACM Transactions on Graphics, 26(1):4, 2007

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:11.181400Z

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Observation 9c9bc2d0-3a8e-4572-a4d1-6a467cec3201 · outbound

This paper cites Mohamed, Anil N.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Mohamed, Anil N

Reference 6

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Observation a7d6acf2-2c7c-4285-b699-b337e90c3d14 · outbound

This paper cites Mohamed, and Ravi Samtaney.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Mohamed, and Ravi Samtaney

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T03:24:17.932452Z

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Observation e60d34ea-f786-4e7b-bfa2-73202b482245 · outbound

This paper cites Discrete exterior calculus (DEC) for the surface Navier–Stokes equation.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Discrete exterior calculus (DEC) for the surface Navier–Stokes equation

Reference 8

Resolution: verified exact; doi, observed 2026-08-01T03:24:17.857766Z

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Observation 1a609798-f1a4-4b53-8a8d-67fe55010b7a · outbound

This paper cites Mohamed, Anil N.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Mohamed, Anil N

Reference 9

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Observation 62db818f-4b6a-44db-8aa1-e56c8e3c7ac2 · outbound

This paper cites Allgower, K.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Allgower, K

Reference 10

Resolution: verified exact; doi, observed 2026-08-01T03:24:17.774042Z

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Observation f7309f98-0eda-4709-96c7-b6a73e87fdf4 · outbound

This paper cites Birkh¨ auser, 1992.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Birkh¨ auser, 1992

Reference 11

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Observation 79f04cd6-24c8-429c-960b-f747fed75038 · outbound

This paper cites Symmetry, groups, and boundary value problems.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Symmetry, groups, and boundary value problems

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T03:24:17.571147Z

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Observation ac1d4742-051e-41ae-9c98-575a8fe1f955 · outbound

This paper cites Munthe-Kaas.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Munthe-Kaas

Reference 13

Resolution: verified exact; doi, observed 2026-08-01T03:24:17.492983Z

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Observation 833bfee4-0de3-4da2-8ae6-fa8993b07e25 · outbound

This paper cites Parallelisation of partial differential equations via representation the- ory.SIAM Review (to appear), 2025.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Parallelisation of partial differential equations via representation the- ory.SIAM Review (to appear), 2025

Reference 14

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Observation baf8877c-e484-470a-b450-b4c5f3390f4e · outbound

This paper cites Arnold, Richard S.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Arnold, Richard S

Reference 15

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Observation 62e79f78-f797-4937-ad3b-beaac49d8cea · outbound

This paper cites Arnold, Richard S.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Arnold, Richard S

Reference 16

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Observation a196b139-f2ad-447a-b83f-62966ffbba69 · outbound

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Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Unresolved cited work

Reference 18

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Observation 576cc2c1-fd6a-45ed-955e-d493ab1bdcd2 · outbound

This paper cites Marsden and Matthew West.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Marsden and Matthew West

Reference 19

Resolution: verified exact; doi, observed 2026-08-01T03:24:17.210731Z

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Observation 736f8bbc-0ac0-4295-a332-b27e193fc35f · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 20

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Observation 14bc48c3-c998-4873-bff5-1aa2fcfb731b · outbound

This paper cites Group equivariant convolutional networks.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Group equivariant convolutional networks

Reference 21

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Observation 331ff9fc-2b98-4270-9f1a-b2a81de29a74 · outbound

This paper cites Boom, Ashley Seepujak, Odysseas Kosmas, Lee Margetts, and Andrey Jivkov.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Boom, Ashley Seepujak, Odysseas Kosmas, Lee Margetts, and Andrey Jivkov

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:12.869096Z

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Observation b9bb5d40-91ec-4169-9fd9-0613811cd976 · outbound

This paper cites Springer-Verlag, 1977.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Springer-Verlag, 1977

Reference 23

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Observation 885924e3-2ed2-4b50-8c3d-d8aced57254e · outbound

This paper cites Bobenko and Boris A.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Bobenko and Boris A

Reference 24

Resolution: verified exact; doi, observed 2026-08-01T03:24:16.853733Z

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Observation 2c60155c-3ebb-4529-8745-c1f64caa41e8 · outbound

This paper cites Hirani, Damrong Guoy, and Edgar A.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Hirani, Damrong Guoy, and Edgar A

Reference 25

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Observation 0c12e711-2e38-48ae-9b01-394f6d97bb5e · outbound

This paper cites Hirani, Kalyana B.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Hirani, Kalyana B

Reference 26

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Observation 9648c16c-4f2a-48d3-b71b-d8174bc0216c · outbound

This paper cites Bossavit.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Bossavit

Reference 27

Resolution: verified exact; doi, observed 2026-08-01T03:24:16.754130Z

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Observation 8ac870cc-cc4d-4c46-ad5c-2b4ae27a0db4 · outbound

This paper cites Guermond, P.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Guermond, P

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:12.892921Z

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Observation 4ab67d35-a585-46f5-9107-08606a63a1f2 · outbound

This paper cites da Silva and Marcelo P.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes da Silva and Marcelo P

Reference 29

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Observation c4e14e14-028f-4be8-8437-ac8fed341e8f · outbound

This paper cites do Carmo.Differential Geometry of Curves and Surfaces.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes do Carmo.Differential Geometry of Curves and Surfaces

Reference 30

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Observation 65adf746-5434-4b09-95b5-648632cc1779 · outbound

This paper cites Discrete Laplace operators: No free lunch.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Discrete Laplace operators: No free lunch

Reference 31

Resolution: verified exact; doi, observed 2026-08-01T03:24:16.431692Z

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Observation 583f5994-c2ec-48f2-a8fd-974ac1694456 · outbound

This paper cites Dresselhaus, Gene Dresselhaus, and Ado Jorio.Group Theory: Application to the Physics of Condensed Matter.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Dresselhaus, Gene Dresselhaus, and Ado Jorio.Group Theory: Application to the Physics of Condensed Matter

Reference 32

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Observation c7ed3a0c-e154-4792-8063-6370551d2514 · outbound

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Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Unresolved cited work

Reference 33

Resolution: verified exact; doi, observed 2026-08-01T03:24:16.301299Z

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Observation ddb0ea13-bf1f-4366-a4fb-32892d9e183c · outbound

This paper cites Convergence of discrete exterior calculus approx- imations for poisson problems.Discrete & Computational Geometry, 63(2):346–376, 2020.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Convergence of discrete exterior calculus approx- imations for poisson problems.Discrete & Computational Geometry, 63(2):346–376, 2020

Reference 34

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Observation d778bebd-db16-49dd-8397-fa4b33d7f4e4 · outbound

This paper cites A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:12.924418Z

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Observation 564d9612-1038-44f5-abf2-4efeb07b03fa · outbound

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Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Unresolved cited work

Reference 2003

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Observation 00f63f70-af68-4f0c-a3e3-0ae2f27399d3 · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-01T03:21:12.860803Z

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Observation d122c28a-cff5-4972-8bd9-9c7ca5ef9608 · outbound

This paper cites URLhttps://doi.org/10.48550/arXiv.2509.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes URLhttps://doi.org/10.48550/arXiv.2509

Reference 2025

Resolution: verified exact; arxiv_id, observed 2026-08-01T03:24:16.591084Z

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Pith citing papers

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