Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators | Paper Citation Record

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This paper cites Ahusborde, M.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Ahusborde, M

Reference 2

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This paper cites In:Mathematical Methods in the Applied Sciences21.9 (1998), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:Mathematical Methods in the Applied Sciences21.9 (1998), pp

Reference 3

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Observation d2f060e9-c603-489f-babf-5e7b2c8bf9d7 · outbound

This paper cites Beresnyak and A.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Beresnyak and A

Reference 5

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This paper cites In:SIAM Review59.1 (2017), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:SIAM Review59.1 (2017), pp

Reference 6

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This paper cites Bhatia, G.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Bhatia, G

Reference 7

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Observation fbcc3ff8-8115-4f9a-aff0-97437f23d483 · outbound

This paper cites In:SIAM Journal on Matrix Analysis and Applications 40.1 (2019), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:SIAM Journal on Matrix Analysis and Applications 40.1 (2019), pp

Reference 9

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This paper cites Fernandes and G.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Fernandes and G

Reference 10

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

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Observation 0631e836-d9e8-48fa-8b2a-896d33f4e420 · outbound

This paper cites In:Computers & Fluids95 (2014), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:Computers & Fluids95 (2014), pp

Reference 13

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 15

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 16

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

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This paper cites Girault and P.-A.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Girault and P.-A

Reference 18

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This paper cites In:Planetary and Space Science36.8 (1988), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:Planetary and Space Science36.8 (1988), pp

Reference 19

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This paper cites Glaßmeier.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Glaßmeier

Reference 20

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This paper cites Glaßmeier, C.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Glaßmeier, C

Reference 21

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This paper cites Glaßmeier.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Glaßmeier

Reference 22

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 23

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

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This paper cites HomogenizationofDiﬀerentialOperatorsandIntegral Functionals.BerlinHeidelberg:SpringerScience&BusinessMedia,1994.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators HomogenizationofDiﬀerentialOperatorsandIntegral Functionals.BerlinHeidelberg:SpringerScience&BusinessMedia,1994

Reference 27

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This paper cites In:The Astrophysical Journal720.1 (2010), p.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:The Astrophysical Journal720.1 (2010), p

Reference 28

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This paper cites Kreiss and G.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Kreiss and G

Reference 29

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This paper cites In:Journal of Scientiﬁc Computing65.1 (2015), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:Journal of Scientiﬁc Computing65.1 (2015), pp

Reference 30

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This paper cites In:SIAM Journal on Numerical Analysis56.2 (2018), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:SIAM Journal on Numerical Analysis56.2 (2018), pp

Reference 31

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This paper cites Linders, J.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Linders, J

Reference 32

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This paper cites Lipnikov, G.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Lipnikov, G

Reference 33

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This paper cites 91–111./d.sc/o.sc/i.sc: 10.1016/j.jcp.2013.12.041.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators 91–111./d.sc/o.sc/i.sc: 10.1016/j.jcp.2013.12.041

Reference 34

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This paper cites Mattsson, M.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Mattsson, M

Reference 35

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Mattsson and J

Reference 36

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Mattsson and O

Reference 37

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This paper cites In:Applied Numerical Mathematics38.3 (2001), pp.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators In:Applied Numerical Mathematics38.3 (2001), pp

Reference 38

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This paper cites Nordström, K.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Nordström, K

Reference 39

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This paper cites O’Reilly, T.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators O’Reilly, T

Reference 40

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Reference 41

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 42

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This paper cites Mimetic Properties of Difference Operators: Product and Chain Rules as for Functions of Bounded Variation and Entropy Stability of Second Derivatives.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Mimetic Properties of Difference Operators: Product and Chain Rules as for Functions of Bounded Variation and Entropy Stability of Second Derivatives

Reference 43

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods

Reference 44

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 45

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 46

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This paper cites Summation-by-parts operators for correction procedure via reconstruction.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Summation-by-parts operators for correction procedure via reconstruction

Reference 47

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This paper cites 2019_SBP_vector_calculus_REPRO.DiscreteVec- torCalculusandHelmholtzHodgeDecompositionforClassicalFiniteDiﬀerenceSummationbyParts Operators.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators 2019_SBP_vector_calculus_REPRO.DiscreteVec- torCalculusandHelmholtzHodgeDecompositionforClassicalFiniteDiﬀerenceSummationbyParts Operators

Reference 48

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This paper cites Numerical Methods for the Magnetic Induction Equation with Hall Effect and Projections onto Divergence-Free Vector Fields.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Numerical Methods for the Magnetic Induction Equation with Hall Effect and Projections onto Divergence-Free Vector Fields

Reference 49

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 50

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Schweizer

Reference 51

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Extended Skew-Symmetric Form for Summation-by-Parts Operators and Varying Jacobians

Reference 52

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 53

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This paper cites Sjögreen, H.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Sjögreen, H

Reference 54

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This paper cites 47–67./d.sc/o.sc/i.sc: 10.1006/jcph.1994.1005.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators 47–67./d.sc/o.sc/i.sc: 10.1006/jcph.1994.1005

Reference 55

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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators 823–830./d.sc/o.sc/i.sc: 10.1007/s10543-014-0471-7

Reference 56

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This paper cites 29–42./d.sc/o.sc/i.sc: 10.1023/A:1025881528802.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators 29–42./d.sc/o.sc/i.sc: 10.1023/A:1025881528802

Reference 57

Resolution: verified exact; doi, observed 2026-08-14T11:47:45.137537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 16f3e1ca-9fd6-418f-8bb8-26a070f41c32 · outbound

This paper cites Svärd and J.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Svärd and J

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:45.792463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 04b5d553-ea56-4e4d-8dfd-ba1b1c80d7ca · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:45.071794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b01479a-d3db-4f35-8e5d-2a5f0d72b354 · outbound

This paper cites Svärd and J.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Svärd and J

Reference 60

Resolution: malformed identifier; no resolver link, observed 2026-08-14T11:47:45.100119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2641a83-b1b9-4c34-a68d-f8999a56ab63 · outbound

This paper cites /d.sc/o.sc/i.sc: 10.1016/j.jcp.2006.02.014.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators /d.sc/o.sc/i.sc: 10.1016/j.jcp.2006.02.014

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:45.097003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 107ec044-703d-4413-962d-258521759537 · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 209

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:45.025785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 966fdd40-81cb-4a0b-8d5e-3f2a50703b9c · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 681

Resolution: verified exact; doi, observed 2026-08-14T11:47:45.309368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55e324f7-695d-4228-8df4-c23f563fc5bd · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 817

Resolution: verified exact; doi, observed 2026-08-14T11:47:45.319723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d47d5336-5a75-4ce6-87c2-1967a0b4fee5 · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 864

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:44.885207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a295b76-981d-420d-8b00-9c0ca7e1aa3a · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 1404

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:44.902219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0923ef57-6ce5-428d-8999-de16601a43cb · outbound

This paper cites an unresolved cited work.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators Unresolved cited work

Reference 2019

Resolution: verified exact; doi, observed 2026-08-14T11:47:45.197093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers