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Paper Citation Record · LEDGER

Non-periodic Fourier propagation algorithms for partial differential equations

As of 20 August 2026, this Paper Citation Record lists 100 of 113 outbound references and 0 inbound Pith citation observations for arXiv:2507.21757.

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

pith.paper-citation-record.v1
2507.21757 v2

Coverage vector

measured 100 of 113 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T12:33:50.675876Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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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Source: cited_works

Reference resolution

100 of 113 outbound references displayed

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  • verified fuzzy39
  • unresolved58
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

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Outbound references

Observation 07e9e85d-2191-4184-8482-fc34c338a7fa · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 1

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Observation ed12d8a2-b83a-4419-baf6-4de5e22c7b4f · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 2

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Observation 5f5048f9-aa8f-4ea5-930e-2becec0c62ec · outbound

This paper cites In this case the DST-II/III and DCT-II/III transforms are used, which have kn = (n−1/2)∆k,forn= 1,.

Non-periodic Fourier propagation algorithms for partial differential equations In this case the DST-II/III and DCT-II/III transforms are used, which have kn = (n−1/2)∆k,forn= 1,

Reference 3

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Observation ad36cc10-2fd9-465b-9bc3-73999bda5e2c · outbound

This paper cites The coefficient depends on the transform.

Non-periodic Fourier propagation algorithms for partial differential equations The coefficient depends on the transform

Reference 4

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Observation 91bf3b00-6cf3-4ae6-8e43-ac0c4669245e · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 5

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Observation fea2464d-3f67-4d51-abe3-e0d4341d88d1 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 6

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Observation 2a628ac7-3671-4b22-9741-f640e81bb0f4 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 7

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Observation 0e8a5e02-d628-4e33-99e5-d73dd7657845 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-06T12:33:47.826569Z digest=sha256:00469e047b9f50a3cc17a2dbc9861af167548e4ddf575e83cbf7e04c0d94fafc

Observation 954ffe76-2ca2-4e98-8489-bcf353bd2290 · outbound

This paper cites Algorithm Both the Fourier spectral derivative (FSD) and the Fourier interaction picture (FIP) methods numerically solve the PDE in Eq.

Non-periodic Fourier propagation algorithms for partial differential equations Algorithm Both the Fourier spectral derivative (FSD) and the Fourier interaction picture (FIP) methods numerically solve the PDE in Eq

Reference 9

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Observation 66b6cb99-7e72-4f6a-817d-7b158c513365 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-06T12:33:50.432958Z digest=sha256:2a3abd9f5bc71a23ca6f6474b817b1c63102f72ffaea6c7de9319520225e0df9

Observation b9907e60-5054-4e62-8244-4a6c87d01d38 · outbound

This paper cites Each component has different combinations of bound- ary types.

Non-periodic Fourier propagation algorithms for partial differential equations Each component has different combinations of bound- ary types

Reference 11

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source=pdf_text observed=2026-08-06T12:33:48.421496Z digest=sha256:13cf9e621dd216214920a9597e7a9fe05434f4d1874119e2e6791d0a4f380933

Observation e1b376d5-8a5c-4da8-b11d-1f10ebca9a7f · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-06T12:33:48.637641Z digest=sha256:648ac92c78bdd3103858cb98067f9553f99785c6fae633ef837c4e2792e8e5f7

Observation 3f815dab-a8de-4b59-a1ed-9f4922813849 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 13

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Observation d44bb607-868e-4bce-b4cd-da626ba9714d · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-06T12:33:48.886799Z digest=sha256:dc81fa12e7da343b3491e51f0c6b43e993ad9d1d92a9dcc3c3aeec2cf1c5c1ba

Observation a9e0e064-319a-42d6-a168-a1fb344cc784 · outbound

This paper cites Plot of the solution to the heat equation using the Fourier interaction picture (FIP) method for the D-D boundary condition with∆x=π/50and∆t= 0.08.

Non-periodic Fourier propagation algorithms for partial differential equations Plot of the solution to the heat equation using the Fourier interaction picture (FIP) method for the D-D boundary condition with∆x=π/50and∆t= 0.08

Reference 15

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Observation 9f0440e0-ad7e-4725-ac51-3adfaefcb9db · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-06T12:33:49.213820Z digest=sha256:f9a14ef4dea1616c2bc7eb013d75cd25a6c9c1044ca993779b87146ae2c837ae

Observation 22fd13e7-dd2b-4695-ad94-ac542be38e34 · outbound

This paper cites They are solutions to a (1+1)-dimensional PDE, ∂u ∂t =−i u|u|2 + 1 2 ∂2u ∂x2 .(4.12) We consider a particular solution as mentioned in.

Non-periodic Fourier propagation algorithms for partial differential equations They are solutions to a (1+1)-dimensional PDE, ∂u ∂t =−i u|u|2 + 1 2 ∂2u ∂x2 .(4.12) We consider a particular solution as mentioned in

Reference 17

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source=pdf_text observed=2026-08-06T12:33:49.354208Z digest=sha256:2a6bb4e617803b840edcad564067e955cbfa2ec00d5bcc0c219525a0eeb3e289

Observation 82a79718-9c6c-4aec-8f97-9aa31bfdad61 · outbound

This paper cites A quantum phase-space equivalence leads to hidden causal loops in a model for measurement consistent with macroscopic realism.

Non-periodic Fourier propagation algorithms for partial differential equations A quantum phase-space equivalence leads to hidden causal loops in a model for measurement consistent with macroscopic realism

Reference 18

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Observation ff853537-1bea-4aa3-b08f-86111363f103 · outbound

This paper cites The simulton in one space dimension is [u1, u2](t, x) =3 2 sech2 x 2 [e−it, e−2it](4.15) with derivatives ∂[u1, u2](t,±x) ∂x =∓ 3 2 sech2 x 2 tanh x 2 [e−it, e−2it].

Non-periodic Fourier propagation algorithms for partial differential equations The simulton in one space dimension is [u1, u2](t, x) =3 2 sech2 x 2 [e−it, e−2it](4.15) with derivatives ∂[u1, u2](t,±x) ∂x =∓ 3 2 sech2 x 2 tanh x 2 [e−it, e−2it]

Reference 19

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Observation 77d8a61d-69a3-45f5-b158-2fbc3e498679 · outbound

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 20

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Observation b1a48828-9089-4e4f-a827-4e6e596a1a2a · outbound

This paper cites John Wiley & Sons, 2024.

Non-periodic Fourier propagation algorithms for partial differential equations John Wiley & Sons, 2024

Reference 21

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Observation f3bd3d9b-d6db-4394-9887-7a51faf28965 · outbound

This paper cites American mathematical society, 2022.

Non-periodic Fourier propagation algorithms for partial differential equations American mathematical society, 2022

Reference 22

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source=pdf_text observed=2026-08-06T12:33:50.267940Z digest=sha256:6688011220d07b9a58e9550e03a200111d5ac747303b3dc7075fbe262f96dbda

Observation 697a2f4f-0d8a-41c0-831c-f446de931490 · outbound

This paper cites Bernardi and Y.

Non-periodic Fourier propagation algorithms for partial differential equations Bernardi and Y

Reference 23

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Observation 99a1462c-412c-4841-929b-07ba39f0e8e6 · outbound

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

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Observation c9e82f78-e96d-4783-b8e0-c1be46c2e8c3 · outbound

This paper cites Canuto, M.

Non-periodic Fourier propagation algorithms for partial differential equations Canuto, M

Reference 25

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

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Observation 4d8205a2-0884-4d7a-a66a-e4fba45acef0 · outbound

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 27

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Observation 48202071-1bc5-4006-b942-acee92596d93 · outbound

This paper cites Canuto, M.

Non-periodic Fourier propagation algorithms for partial differential equations Canuto, M

Reference 28

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source=pdf_text observed=2026-08-06T12:33:50.426136Z digest=sha256:3e1634a9a330fd0a1e6e375b849cff631319d1c2ad8fde2a9618b8de7b711fa3

Observation d5fee590-6b0c-4731-aece-14be24dd4520 · outbound

This paper cites Grandclement and J.

Non-periodic Fourier propagation algorithms for partial differential equations Grandclement and J

Reference 29

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source=pdf_text observed=2026-08-06T12:33:50.429814Z digest=sha256:656dade436f5e3235f0ba83163d4ae31e2a9560f3707669ab09da975bc8d2844

Observation 6d81149c-28de-49ad-94ab-f8abaad7ec9d · outbound

This paper cites Douglas, Jr.

Non-periodic Fourier propagation algorithms for partial differential equations Douglas, Jr

Reference 30

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Observation b6808166-f643-488a-a6a4-3bf5665b6691 · outbound

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 31

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Observation 63621a0b-0f91-4747-b1b5-2f2206ec7584 · outbound

This paper cites Grandclement.

Non-periodic Fourier propagation algorithms for partial differential equations Grandclement

Reference 32

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Observation db25d17e-0530-44fc-9d71-28a22b20df79 · outbound

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 33

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Observation 004054db-f473-47ae-aae3-5cbe7fa5ba8d · outbound

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Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 34

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Observation 16e85593-962f-43b8-872b-2089b4dd1488 · outbound

This paper cites American Mathemati- cal Soc., 2014.

Non-periodic Fourier propagation algorithms for partial differential equations American Mathemati- cal Soc., 2014

Reference 35

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source=pdf_text observed=2026-08-06T12:33:50.451664Z digest=sha256:0afffd9128a5b9aadef0fbbbeb1d00891db610f4dc114266ec684facffa672b1

Observation 72b00a6b-40c0-4103-a379-a0a61c3a2d19 · outbound

This paper cites Forward, backward, and weighted stochastic bridges.Physical Review E, 96(4):042123, 2017.

Non-periodic Fourier propagation algorithms for partial differential equations Forward, backward, and weighted stochastic bridges.Physical Review E, 96(4):042123, 2017

Reference 36

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Observation 241ff8d5-c59b-4b01-968f-36c40573d86c · outbound

This paper cites Time evolution with sym- metric stochastic action.Physical Review Research, 3(1):013240, 2021.

Non-periodic Fourier propagation algorithms for partial differential equations Time evolution with sym- metric stochastic action.Physical Review Research, 3(1):013240, 2021

Reference 37

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Observation dd49716d-6a43-497a-9428-4709c8329604 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 38

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Observation c3f74fb5-6143-4a12-8ef4-70dfd0917b81 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.952197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.464888Z digest=sha256:fa36f27efcbb0955cf207b30a81401d967317f3100afd8776f2209de338cf0e5

Observation 8fa119df-ccfb-43e9-9402-a4bb7316310b · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.937034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.468138Z digest=sha256:324083349bbaee3e65ab4f883cd4f51fdf3f2529f736854ee5301f8213f5adbc

Observation aa4736ab-43f5-46b9-8137-eab3b955e60a · outbound

This paper cites Puschel and J.

Non-periodic Fourier propagation algorithms for partial differential equations Puschel and J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.925421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.472070Z digest=sha256:e327da206f40902e74d5c4563979c0de19e6439909dce2e8acfabf70356429f2

Observation 7d8b9b6b-7c84-4325-91b0-b4c3d9a8b214 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.914652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.475238Z digest=sha256:715e71af326b134881d2c2ae4402c4189cc67cedf49784286fe55628aed5a334

Observation 86dcf248-aa6e-4f1a-9dae-df1c9b17a152 · outbound

This paper cites Shao and S.

Non-periodic Fourier propagation algorithms for partial differential equations Shao and S

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.904757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.477936Z digest=sha256:47a1700ac14762c45c4bc6f48cdf4cf9d186688af96dcb9dd71718cfbad34a2c

Observation 38a5f807-2745-4b48-a5fe-280d31f725e2 · outbound

This paper cites Kosloff and R.

Non-periodic Fourier propagation algorithms for partial differential equations Kosloff and R

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.893069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.480916Z digest=sha256:91aa63575bb022835f93c9ee66797de329ba3d781ef63a84dd980ae4946667c5

Observation e6f86ca3-f69b-46bb-9864-8f986cd2298a · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.881420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.483917Z digest=sha256:fef5da606106818ae3145b2e7ea9a3bdd9355a10227358832032a8d9c7006d6d

Observation 2a1fa017-92c1-49e9-89c5-0b5660fdbd68 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.868743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.487224Z digest=sha256:742cb8f2e574531872fe8824e924aa0020b0381b3d83aad94cefb43fd0597364

Observation 87f85b45-f976-4995-80d8-fa096a953ffb · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.854324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.490009Z digest=sha256:0361ba835ce93a908d14ad5378ffce606e204765d322096560991f52742ce6b8

Observation 2e14fc11-238b-4eb2-b1d2-1475452ac0b3 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.835316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.493299Z digest=sha256:a3e49005d093db094718a7ab671fd29f4650b0d94aeffe7c983aa259f5ddceee

Observation 60fccfe8-104d-453c-ad39-40ca647589ea · outbound

This paper cites Areviewofnumericalmethodsfornonlinear partial differential equations.Bulletin of the American Mathematical Society, 49(4):507–554, 2012.

Non-periodic Fourier propagation algorithms for partial differential equations Areviewofnumericalmethodsfornonlinear partial differential equations.Bulletin of the American Mathematical Society, 49(4):507–554, 2012

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.823180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.496121Z digest=sha256:18e43e3bbdb8fa77cc77430e1be897daee5ff78d606957d79eb23addd6917977

Observation 96b80c35-ed50-4bd9-9505-e54fae2ed87e · outbound

This paper cites Kovachki, Z.

Non-periodic Fourier propagation algorithms for partial differential equations Kovachki, Z

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.416661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.574088Z digest=sha256:a6f8142f3b8937b5785570722476376112b4024bb640e3f9bfb9bdd195443a75

Observation 88de228c-dedc-481a-9e3f-cdff4f85f678 · outbound

This paper cites Crank and P.

Non-periodic Fourier propagation algorithms for partial differential equations Crank and P

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.794778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.502102Z digest=sha256:710300b0aa1eb59bbe6cdf00895e6c374f6da4ebd98709363b7713dd8fa2f9b4

Observation c6c0ed4f-a540-4ff9-8170-144a75748f79 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.782779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.505599Z digest=sha256:86d93baaacddbc8ff152a8c9e84d320c365418c26251025da85675f5f65f8341

Observation d67ac273-cb86-45b6-b5ec-95a250aba99a · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.767475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.508618Z digest=sha256:7eadc9655abca1f2766e68bef9e4592048f4bea327c7db239f4cf03ccf46020d

Observation e61d9c65-a98f-478e-b56a-5f16b162960b · outbound

This paper cites Britz, O.

Non-periodic Fourier propagation algorithms for partial differential equations Britz, O

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.754084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.511642Z digest=sha256:b8d82039ab24b89741b1ec22febd8c7f1e82da619b53bba86f8952899279cc5a

Observation 965282a0-9d65-4d88-87bf-f8c7628ac100 · outbound

This paper cites Birkhoff, R.

Non-periodic Fourier propagation algorithms for partial differential equations Birkhoff, R

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.740867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.515395Z digest=sha256:ad35fdef172850bd384615a0e2f06c6f019a8a9101604a4b693ba4c174bd4f65

Observation ccc20912-96e9-4ad6-81e9-c9b94c705ef2 · outbound

This paper cites Sun and C.

Non-periodic Fourier propagation algorithms for partial differential equations Sun and C

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.726939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.519175Z digest=sha256:e1ccc98722f708bb8590b13fb659fc7907dab862ac94eb426a842d9edf1f88fd

Observation 1859aaf8-fb24-4c0d-930b-d5851b84b21b · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.712364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.523663Z digest=sha256:0f6651647e9914fb6033d8073313d55e49e6f4cfc1d01ae9470670d3f5879b22

Observation 555665f2-d3a0-45c9-a70e-89e5171f8237 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.309134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.600966Z digest=sha256:9eae8700321a97c2416bab0fb202bc5981cc609a35ced6f2b3fb1d2b24855799

Observation f158e29c-2bf5-44b8-91e9-8aac4187ee13 · outbound

This paper cites We consider PDE examples with analytical solutions that allow errors to be calcu- lated.

Non-periodic Fourier propagation algorithms for partial differential equations We consider PDE examples with analytical solutions that allow errors to be calcu- lated

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-06T12:33:48.200801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:33:48.200801Z digest=sha256:cbb5c805c7e8550f0ab50e44417ec4292011f66e80ae7bcbac6005fcedb539e3

Observation 3bdffbd8-5e68-45a5-8d99-61f1591219c9 · outbound

This paper cites AFourth-OrderRunge-KuttaintheInteraction Picture Method for Simulating Supercontinuum Gener- ation in Optical Fibers.Journal of Lightwave Technol- ogy, 25(12):3770–3775, 2007.

Non-periodic Fourier propagation algorithms for partial differential equations AFourth-OrderRunge-KuttaintheInteraction Picture Method for Simulating Supercontinuum Gener- ation in Optical Fibers.Journal of Lightwave Technol- ogy, 25(12):3770–3775, 2007

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.678581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.532686Z digest=sha256:f624c131414318008c33a19ecd3ef6d7ab6ac04a13f06aa6978c4de1d9533c5a

Observation cfe9dfec-2b2d-4dd6-b29b-e7132c966a31 · outbound

This paper cites Balac, A.

Non-periodic Fourier propagation algorithms for partial differential equations Balac, A

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.666064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.537023Z digest=sha256:43f8198d31c0041dbd4a6fd4789b4ee21f751333c1638d2ac61f17b999a7a686

Observation cb0d4877-9349-4596-9ff0-ff1ee935908e · outbound

This paper cites Simulation of quantum effects in raman-active waveguides.Euro- physics Letters, 21(3):279, 1993.

Non-periodic Fourier propagation algorithms for partial differential equations Simulation of quantum effects in raman-active waveguides.Euro- physics Letters, 21(3):279, 1993

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.652946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.541122Z digest=sha256:9f1f6fee2fbaa3e7053109eebfbc4db36ca849ac47a4087e2acdad1fe3de9c77

Observation d89cb0a9-a461-4657-984c-da9dd878f825 · outbound

This paper cites Quantum solitons in optical fibres.Nature, 365(6444):307–313, 1993.

Non-periodic Fourier propagation algorithms for partial differential equations Quantum solitons in optical fibres.Nature, 365(6444):307–313, 1993

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.633305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.544189Z digest=sha256:eb1c47532c7b580acba2b9be3acf8fce1693ad9838f9628294a9cd7bd1d70b91

Observation ce40cc43-7683-4a1a-855c-bc3d3fcde34c · outbound

This paper cites Many- bodyquantumdynamicsofpolarizationsqueezinginop- tical fibers.Physical review letters, 97(2):023606, 2006.

Non-periodic Fourier propagation algorithms for partial differential equations Many- bodyquantumdynamicsofpolarizationsqueezinginop- tical fibers.Physical review letters, 97(2):023606, 2006

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.497433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.548126Z digest=sha256:045d5b4d073fc4ddb2489bf2bcaa6fbe6e5d37910710b3e9cc478b262411dc74

Observation 505b9705-4068-493a-be72-6dccbd50e11f · outbound

This paper cites Javanainen and J.

Non-periodic Fourier propagation algorithms for partial differential equations Javanainen and J

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.484828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.551241Z digest=sha256:7b13bd5002ecbf3f2c0d9009aed74df91be895011c4f4110037a345404df1bd5

Observation b98ef1a0-ba65-4714-bad7-327031505f89 · outbound

This paper cites Numerical method for evolving the projected gross-pitaevskii equation.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 78(2):026704, 2008.

Non-periodic Fourier propagation algorithms for partial differential equations Numerical method for evolving the projected gross-pitaevskii equation.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 78(2):026704, 2008

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.471464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.554435Z digest=sha256:c516ccc68101944beab93ed735ab941637a7f8c47e27128e42562d3fc0bac424

Observation 21d61f6d-4b36-41be-a63a-39569b6dde5a · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.456443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.558006Z digest=sha256:224841b6e55a6e01110c304d2488f02e2688423004779a14fa9de508aab46dfa

Observation 86ea5fa9-1724-49da-b79c-5aa68249946c · outbound

This paper cites Fornberg.A Practical Guide to Pseudospectral Meth- ods.

Non-periodic Fourier propagation algorithms for partial differential equations Fornberg.A Practical Guide to Pseudospectral Meth- ods

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.444567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.561755Z digest=sha256:969255b6003b63210a3a0f102e468041a436e7c869d4ecbe77456411f24d616f

Observation 0c418e25-8de9-4bb7-9948-03801c75d2d2 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.431475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.565051Z digest=sha256:e74a5dc1678814b33f1739f543e6132b8fc563991716095efbb1499c4e85491c

Observation ff72ca87-a834-427e-9941-2cd57f5866e4 · outbound

This paper cites SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions.

Non-periodic Fourier propagation algorithms for partial differential equations SPFNO: Spectral operator learning for PDEs with Dirichlet and Neumann boundary conditions

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-06T12:33:50.568974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:33:50.568974Z digest=sha256:b1a308223b38a53c04d431c626eb1e2eda6381b36f158e35402a6c73f0beba17

Observation 0fc3fa53-4934-4284-acc0-7b34fbaf779a · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.400967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.577715Z digest=sha256:67135617d636727e9b5bf9ce519d9fad30845210e6adfaaed3920c1c7765b914

Observation 9456613c-602e-4452-8976-866ccccee90e · outbound

This paper cites An algorithm for the machine calculation of complex fourier series.

Non-periodic Fourier propagation algorithms for partial differential equations An algorithm for the machine calculation of complex fourier series

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-06T12:33:50.581016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:33:50.581016Z digest=sha256:cc7c907a0849a52f974c65eba1488e60ad567208682f8559feb675863033a153

Observation 6d11765c-3ac0-4c76-81a1-fb5bb05b4139 · outbound

This paper cites Frigo and S.

Non-periodic Fourier propagation algorithms for partial differential equations Frigo and S

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.376496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.584642Z digest=sha256:f2de9d0e37b78facb45c9c833af77aaf5ab2c742d92bc3a95950aa4ee0267805

Observation dac3c34d-919b-4088-af87-ff5a5970f1c1 · outbound

This paper cites Frigo and S.

Non-periodic Fourier propagation algorithms for partial differential equations Frigo and S

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.362899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.587878Z digest=sha256:55642ff3745d628e085776b78002647aee9f94df2dd31597e4839142c917a65c

Observation ca4f9354-2d8f-4ef6-a668-dab9a4c9114b · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-06T12:33:49.514100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:33:49.514100Z digest=sha256:9afbb997cd5cc2f732c15e0726b3b327b1f362feb8582715b61efffff6f1ade5

Observation e133767c-3254-4ebd-9d42-9ddb25547a22 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.349347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.591121Z digest=sha256:48c3be48625ad78b7465c2c70692a521a29baebee161143af4024afd4fe30c6c

Observation 71c0f214-0bc8-4af0-bf32-867d700e982e · outbound

This paper cites Kiesewetter, R.

Non-periodic Fourier propagation algorithms for partial differential equations Kiesewetter, R

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.334312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.594664Z digest=sha256:5423a314f0209a81349e2ad93bf6549a88b6f00a2ea6cafb8a8d98b65624f039

Observation 4a7e6db7-f948-4001-9dd5-efe58e0ed14a · outbound

This paper cites Kiesewetter, R.

Non-periodic Fourier propagation algorithms for partial differential equations Kiesewetter, R

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.319900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.597682Z digest=sha256:7ab30b728df1fee687f4388abe6fa6cee56e7b1876e78615d00922b285d3246f

Observation c146b00c-be40-47e8-b268-eb6e4a574991 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.299140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.604659Z digest=sha256:abf3f32006525799db4f4c1f63e55a310294e69e6e26d70dc082f760a3d51d35

Observation 71b732f1-2255-448d-9240-a5ac93bc5f4b · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 80

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.289130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.608444Z digest=sha256:82220750e413e7fc8a40d06e1620178af1fcdaebabbe05c5c7958c706c692c9b

Observation 51626d82-7367-4ffd-9c04-18acf3ec8e26 · outbound

This paper cites Complexity order of multiple resource al- gorithms.Physical Review E, 112(2):025302, 2025.

Non-periodic Fourier propagation algorithms for partial differential equations Complexity order of multiple resource al- gorithms.Physical Review E, 112(2):025302, 2025

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.279403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.613052Z digest=sha256:f20046b032e3717899eb471365df7bfc95a2e5297dc3c2ddd3678abb8bf2b608

Observation 278281c0-3ec3-4c4a-be1f-887b1f45beda · outbound

This paper cites Computersimula- tions of multiplicative stochastic differential equations.

Non-periodic Fourier propagation algorithms for partial differential equations Computersimula- tions of multiplicative stochastic differential equations

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.269412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.617289Z digest=sha256:76ce513b34620dfec381993b2ec9f2689909d4ffd39e62f55bcfa8bf0c2c1be8

Observation a1f78e29-5559-4e39-bf3b-83128b888347 · outbound

This paper cites Neidinger.

Non-periodic Fourier propagation algorithms for partial differential equations Neidinger

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.257894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.620379Z digest=sha256:fa2ce63c46d8541ab52b8e169bc22d0f0ee82b5fc49e1b860b4ec644abf73719

Observation 72e1e9b2-a038-4a74-abd4-6846005428b5 · outbound

This paper cites Adaptive stretching and rezoning as effective computational techniques for two-level paraxial maxwell-bloch simulation.Computer Physics Communications, 20(1):139–163, 1980.

Non-periodic Fourier propagation algorithms for partial differential equations Adaptive stretching and rezoning as effective computational techniques for two-level paraxial maxwell-bloch simulation.Computer Physics Communications, 20(1):139–163, 1980

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.244280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.624643Z digest=sha256:a1d6e9347f427d6ae66cac36af5081d91c90114b73ce5181a5f32fb0c37786de

Observation 5fc8af6d-cfca-48fb-976c-47f5e171a57a · outbound

This paper cites Elsevier, 2010.

Non-periodic Fourier propagation algorithms for partial differential equations Elsevier, 2010

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.229059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.628474Z digest=sha256:929cb7dfac7fc4bf926ce8fe54ebb449285033e4e0a100c37abd461480424d50

Observation f9bcc5ac-ad3b-46d0-aeaa-678a23d30cca · outbound

This paper cites Third order difference methods for hyperbolic equations.Journal of Computational Physics, 5(3):547–571, 1970.

Non-periodic Fourier propagation algorithms for partial differential equations Third order difference methods for hyperbolic equations.Journal of Computational Physics, 5(3):547–571, 1970

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.217102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.631731Z digest=sha256:66f1fa98e8058765d3832f1bde6178723633bb6ae0a733b37aabf5ee99fa04aa

Observation 5974f157-112d-49ce-96c7-de7555997030 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.205358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.634827Z digest=sha256:85dd41d17529a40a21ee4a61c79b0a13b9986e533a9554c96d68b3ee5809eb1b

Observation 2d423412-570f-4c90-81a2-40f4e7b60725 · outbound

This paper cites The role of linear dis- persion in plane-wave self-phase modulation.Applied Physics Letters, 23(12):661–663, 1973.

Non-periodic Fourier propagation algorithms for partial differential equations The role of linear dis- persion in plane-wave self-phase modulation.Applied Physics Letters, 23(12):661–663, 1973

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.194855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.638394Z digest=sha256:eb47a14f8a4bca0db9c14b9fba0f285eb171e6f0b7f5abac39ac7bbbb1a83278

Observation 4949a1e7-5ba2-4189-bb4f-4f16e2afa48b · outbound

This paper cites Fisher and William K.

Non-periodic Fourier propagation algorithms for partial differential equations Fisher and William K

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.182387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.641677Z digest=sha256:5199855b66696ae7cec660d7e269b53569500cf16233acd404a529cde1e21daa

Observation f1a25db6-2a72-49dd-b0ad-222b9025ac56 · outbound

This paper cites PhD thesis, University of Otago, 2000.

Non-periodic Fourier propagation algorithms for partial differential equations PhD thesis, University of Otago, 2000

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.169147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.644674Z digest=sha256:2b16c719234320f79fabd2a88cca409bcafed81f5a6fc36aed48e9b50d9d5c98

Observation 20c787fa-0166-44c8-893c-273ae8074137 · outbound

This paper cites A fourth-order runge-kutta in the inter- action picture method for simulating supercontinuum generation in optical fibers.Journal of Lightwave Tech- nology, 25(12):3770–3775, 2007.

Non-periodic Fourier propagation algorithms for partial differential equations A fourth-order runge-kutta in the inter- action picture method for simulating supercontinuum generation in optical fibers.Journal of Lightwave Tech- nology, 25(12):3770–3775, 2007

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.156680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.647648Z digest=sha256:b5aa4602f7de6873e315598d6c1848a8457fa55328a784973ec3fefa9a85c03d

Observation 3ea4918a-5b64-4925-82e8-9060b2d17aca · outbound

This paper cites A fourth- order runge-kutta in the interaction picture method for numerically solving the coupled nonlinear schrödinger equation.Opt.

Non-periodic Fourier propagation algorithms for partial differential equations A fourth- order runge-kutta in the interaction picture method for numerically solving the coupled nonlinear schrödinger equation.Opt

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.141980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.650835Z digest=sha256:a7be2585e2215717212689c9cfe681eca3652b095b71b1141b89417ab255557c

Observation e9fdac02-c95f-4d17-aab0-dad663395aa2 · outbound

This paper cites Ascher, Steven J.

Non-periodic Fourier propagation algorithms for partial differential equations Ascher, Steven J

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.130015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.654756Z digest=sha256:4d946d5dd3f242600cc1f390442c8ead778322effde2aea4cd6fe8c9e6b4cae3

Observation 8da007a6-6c6a-476d-9c1c-abceea070519 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 94

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.120069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.657819Z digest=sha256:bf8ce5f1a6dddad43915ba97096f9c6b900743ffb8f57355318d9985f05d6565

Observation 6975314d-2b54-41ce-bc75-4f6b55232cd2 · outbound

This paper cites Satsuma, J.and Yajima.

Non-periodic Fourier propagation algorithms for partial differential equations Satsuma, J.and Yajima

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.106850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.660852Z digest=sha256:bd75138000a8d450089eaec54121d0024dd10f66ff536d0a6f8fca68af81d239

Observation 393faba9-9840-4289-92be-7701ad8e88ca · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 96

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.094494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.663729Z digest=sha256:252c788b348c7469d97b19c4b1cb402390b54ea554c041015af974a2e3e095ec

Observation 7781cf60-b888-496e-b4b8-e45fc7dbe07d · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 97

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.082967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.666532Z digest=sha256:e35a20ce86ebc2007a520cdd65f7975fc655c5ec0bf2e6d80a0ce53a12aa6efd

Observation 0ae3bd47-f444-4796-ab4b-2f0ae1471468 · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 98

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.068932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.669467Z digest=sha256:e5d5a8aa938c29669fd1e539712f37ee30111b9cfe034371035b85b62b81928e

Observation cd88dd32-d55b-410f-a9ae-e3d243aabb9a · outbound

This paper cites an unresolved cited work.

Non-periodic Fourier propagation algorithms for partial differential equations Unresolved cited work

Reference 99

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:33:51.056326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.672437Z digest=sha256:88f0e5a413638a8b99c78bd7276b3515b6a791879696832cdf48e55268136f38

Observation b26325ed-0b01-4d4c-9314-fdeb3eddc288 · outbound

This paper cites He and P.

Non-periodic Fourier propagation algorithms for partial differential equations He and P

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:33:51.045939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:33:50.675876Z digest=sha256:a9beb86bd11e3cb89c24eb9e4cca75f1ce668550baada0d775a828bd6c47e202

Pith citing papers

No inbound Pith citation observations are available.