Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:59:21.055961Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 1 inbound Pith citation observation for arXiv:2506.20478.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:59:21.055961Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T18:52:01.450666Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-28T18:52:30.689933Z
82 of 82 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fa51a86d-d9c0-4cfe-a3cf-6f251aa42c71 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 1
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Observation bb55f8fc-4d7a-4c14-ab54-c93e6f4d85b3 · outbound
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Source-reported events for the cited work
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Observation 3e742156-9dfa-4a7d-ada2-590cc879508d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
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Observation 6d99836e-7bc4-403a-b3d4-5406a2164b59 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 4
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Observation 6dafd2d4-997a-423c-be51-d5c8f56ecb1d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 5
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
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Observation b40797e0-5593-4aa4-bff9-439081bb349d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Applying Thm
Reference 7
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Observation ea611297-d04b-4106-ac69-90c26102cb41 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 8
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Observation eb66602e-2955-4c09-8d32-bea8a006820e · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions The following equation clarifies the structure of Fig
Reference 9
Source-reported events for the cited work
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Observation 2d970014-8cba-4700-8b6e-7089d5156df1 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Note, we always can include zeros in the set of non-zero elements, so we now use the diagonal sparsity of matrix A smax = κ, see Remark 2
Reference 10
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Observation 09270930-669c-4263-ad45-1b5e4bc060e4 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
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Observation 1c83098f-5be9-434d-9291-7a600378d573 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 12
Source-reported events for the cited work
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Observation 0685f73a-48f2-4dd8-9fd3-c0b4a1742c45 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 13
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Observation 29c71d42-0b3e-4b3b-8cfc-84e01f998f6b · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 14
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Thus, the following theorem summarizes the results of this section
Reference 16
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Observation e50ca9cf-2415-40b8-80df-5e8c23a39dcf · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 17
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Observation 9e79e932-9cc7-4aba-a7f2-5ed8b04186eb · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 18
Source-reported events for the cited work
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Observation e41ba426-06f8-4934-82b4-2ffedebcce3f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Block-encoding for d-D Hamiltonian Let us now consider the rest part of the Eq
Reference 19
Source-reported events for the cited work
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Observation 5083823e-47b6-45a3-8015-0fb4422b3393 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 20
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Observation cec088b0-a7a5-42cc-a6a6-18a3763efcfa · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions The key notations are given in Table IV
Reference 21
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Observation dc5803de-9552-4789-905e-d1a188097e7f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 22
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 23
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Observation 19991be0-42a6-4a7b-bf1f-c9119d77825d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 24
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Observation 8b1bc994-fb8f-4e79-ab88-89968ceda671 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 25
Source-reported events for the cited work
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Observation caca13df-09cf-4a2c-85a1-a1e7d30f659c · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Ω(αt, ϵ) is implicitly defined through inequality for the truncation parameter g ≥ Ω(αt, ϵ) 1.07√g αet 2g g ≤ ϵ
Reference 26
Source-reported events for the cited work
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Observation 9a553bac-efcc-4fb2-988d-d4892ed6d85a · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 27
Source-reported events for the cited work
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Observation 3c1adf80-5004-4b8e-845f-a717f22875b9 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 28
Source-reported events for the cited work
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Observation eafbc91d-9d4c-425a-9149-57eb2ddf658b · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 29
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Observation 831d22ae-13df-4d73-9e2b-603949e9a4ba · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 30
Source-reported events for the cited work
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Observation 7037bae7-67fe-4df1-8dcd-3e8ac06b6833 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Guseynov, X
Reference 31
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Observation 7394576a-2ca6-48a1-a0c7-c03e8354196b · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 32
Source-reported events for the cited work
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Observation 1df9015c-b2da-4a76-8af0-30694f2f3717 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Pour-El and I
Reference 33
Source-reported events for the cited work
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Observation ab985942-83f3-43a4-b4e6-8a478c4b5bfa · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 34
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Observation 423d158a-78a9-4371-ad2c-2cdd5b985490 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c6f3dff-42d8-4660-99b4-f8313c1e5a74 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Gaitan, Finding flows of a navier–stokes fluid through quantum computing, npj Quantum Information 6, 61 (2020)
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e4e1a84-4f99-4bc2-9d39-ac743e3f1e22 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 37
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Observation 37fc790c-0b4a-4b3a-b937-483feb5511d7 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Linden, A
Reference 38
Source-reported events for the cited work
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Observation 15ee762c-95bd-4660-afed-3f0f72da5681 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f09cce0c-7f94-469b-a397-3bb9ab3f3539 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Stamatopoulos, D
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f87ef763-00f3-42d4-aacb-5b14151fbe13 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Gonzalez-Conde, ´A
Reference 41
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Observation db108ae7-8870-4563-ab54-a655ecbdfa1f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 42
Source-reported events for the cited work
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Observation 51d1914c-5d8f-443f-b783-473199753f52 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2f00eb9-8e4f-460e-98ea-740a7f108c6f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df92317c-aefc-4d95-bc02-bdf32f697508 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 45
Source-reported events for the cited work
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Observation f8c2bb6f-c075-47a6-949e-beb19a24065f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e192e5e-6d24-4012-86a6-0af04035c61b · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions The Solovay-Kitaev algorithm
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6196f49b-a507-49a2-b114-0d31e804bd89 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 49
Source-reported events for the cited work
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Observation e79a59e3-e6d1-49fd-a1ec-29ffe7af903f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Jin and N
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 705ec565-2d12-472b-8a8b-8d949ce629bd · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 51
Source-reported events for the cited work
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Observation af33b848-daa1-433e-bd0f-801223a23b2d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Jin and N
Reference 52
Source-reported events for the cited work
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Observation 1b3e6dcc-e183-4c75-88b9-3e9fdbe12c43 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics
Reference 53
Source-reported events for the cited work
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Observation 6f1da34a-a98e-4862-8eeb-af39b8308fb9 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Gily´ en, Y
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b66dcca8-c6ca-4d8c-abc6-6fa2287039e7 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 55
Source-reported events for the cited work
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Observation 4d34896e-1986-4667-858e-69b5d2335696 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 56
Source-reported events for the cited work
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Observation e19f39d9-3f75-4f7a-8e3f-ec3b51f25789 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Kharazi, A
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33fec174-a62f-46ab-a160-554df6e1840b · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 58
Source-reported events for the cited work
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Mu˜ noz-Coreas and H
Reference 59
Source-reported events for the cited work
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Optimizing Quantum Circuits for Arithmetic
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb241c01-bf87-4fbc-8194-cc97dfaaf23a · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 61
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Observation 4cff5890-c158-40a4-88bd-bf3b64d1b42e · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions On Schr\"odingerization based quantum algorithms for linear dynamical systems with inhomogeneous terms
Reference 63
Source-reported events for the cited work
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Observation aa7585de-33ba-4f82-959b-2d2027160869 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 64
Source-reported events for the cited work
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Observation d439c0a9-791f-4656-a0eb-b7ef56a3165f · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 65
Source-reported events for the cited work
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Observation 73c38ea9-2b11-42a6-9b7f-1bf6bff492d5 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 488e0115-5414-40cc-bb15-dadb34fe526d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Guseynov and N
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c891cfd-752f-4fd6-953c-ad50b70595e2 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Shukla and P
Reference 68
Source-reported events for the cited work
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Observation 41feab01-b230-4252-aacf-85394ace67ab · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 69
Source-reported events for the cited work
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Observation b7fc0556-ad2e-4928-ba30-c9ec05703cff · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Samek, G
Reference 70
Source-reported events for the cited work
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Observation 7d673a97-8d6a-467a-833e-4f5322a2c9e3 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Quantum algorithms: A survey of applications and end-to-end complexities
Reference 71
Source-reported events for the cited work
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Observation b2ad8a1b-dbc1-4469-9fc3-25402da786b1 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b61e29a3-398a-4e8c-b420-fc6108776103 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Huang, R
Reference 73
Source-reported events for the cited work
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Observation 605c030d-9446-423e-9c16-7f815974a91e · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 74
Source-reported events for the cited work
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Observation da98fc74-9433-4f25-b2cd-5fbe07d9848e · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 75
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Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Huang and N
Reference 76
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Observation 8405a935-2be0-421d-bee1-3ee00476209b · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 77
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Observation 0493792b-fca0-4af9-bbff-286cfeec3b1a · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Gautschi, Numerical analysis (Springer Science & Business Media, 2011)
Reference 78
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Observation 800d46cb-82f3-4946-a785-10c13388aa2d · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Kress, Numerical analysis, Vol
Reference 79
Source-reported events for the cited work
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Observation ca6c4a8a-9bca-42a5-a1e7-937e13a62078 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Saad, Iterative methods for sparse linear systems (SIAM, 2003)
Reference 80
Source-reported events for the cited work
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Observation 10861363-7cc7-4442-b882-9cf64a01104c · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 81
Source-reported events for the cited work
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Observation d6db0da0-ce41-47e3-b5f7-1ab33f4110dc · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 82
Source-reported events for the cited work
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Observation 5a52b22a-06a1-43b7-92e2-5916bb465a71 · outbound
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions Unresolved cited work
Reference 83
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 245a040e-5d11-47f8-863b-bd90e950967a · inbound
Analog photonic simulator for large-scale transport Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions
Reference 93
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