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Paper Citation Record · LEDGER

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

As of 18 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 6 inbound Pith citation observations for arXiv:2505.17046.

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

pith.paper-citation-record.v1
2505.17046 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:18:26.529427Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:31:07.732220Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

47 of 47 outbound references displayed

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External citation measurements

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arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c0f9183a-5f56-498a-b3b8-2cb429e14d45 · outbound

This paper cites Brandt, Mathematics of computation31, 333 (1977).

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Brandt, Mathematics of computation31, 333 (1977)

Reference 1

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Observation eae69d3f-c3b0-4a7e-bb60-8f8c30d8c34a · outbound

This paper cites Trottenberg, C.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Trottenberg, C

Reference 2

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Observation b3eb98c6-fc5f-4240-bb2e-b00f9cf9dc5c · outbound

This paper cites Gottlieb and S.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Gottlieb and S

Reference 3

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This paper cites an unresolved cited work.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 4

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Observation 447d2055-f824-47f6-9e93-c80503eb840f · outbound

This paper cites Raissi, P.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Raissi, P

Reference 5

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Observation f3fd19e8-f0f3-46ac-a076-2e5816070bc1 · outbound

This paper cites Berg and K.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Berg and K

Reference 6

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Observation 511687be-d9dd-4f7a-bdc1-f6fdcd3a7319 · outbound

This paper cites an unresolved cited work.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 7

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This paper cites an unresolved cited work.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 8

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Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 9

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Observation cce6d6f3-b8b4-461e-80bc-41fd74fe2e82 · outbound

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Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 10

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Observation e2efe7d6-06c2-483d-8623-84ee56475560 · outbound

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Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 11

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Observation 5a529e17-31fb-4a61-b34b-a7f0c7d2ab05 · outbound

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Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 12

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Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 13

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This paper cites Oseledets and E.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Oseledets and E

Reference 14

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Observation a8925277-e51d-41ed-80eb-00da143fd857 · outbound

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Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 15

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Observation f9f04bf3-b88e-4678-9c0e-9a6cf5469a43 · outbound

This paper cites an unresolved cited work.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 16

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Observation 802d7b2c-18fd-4443-9f03-7ebc1fc104f9 · outbound

This paper cites Multiscale interpolative construction of quantized tensor trains.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Multiscale interpolative construction of quantized tensor trains

Reference 17

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Observation a31cb955-501b-4575-9f93-9276eca539ed · outbound

This paper cites Ye and N.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Ye and N

Reference 18

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Observation 6f0403d7-40c2-44b8-b467-d8e65ed3a755 · outbound

This paper cites Gourianov,Exploiting the structure of turbulence with tensor networks, Ph.D.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Gourianov,Exploiting the structure of turbulence with tensor networks, Ph.D

Reference 19

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Observation 3ca3067f-963e-43c0-9261-de6012c69daf · outbound

This paper cites Gourianov, M.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Gourianov, M

Reference 20

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Observation 693211dd-6aed-4936-90b9-69764a3b039b · outbound

This paper cites Gourianov, P.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Gourianov, P

Reference 21

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Observation 3d52459d-06ea-4974-a01c-414703aa8e60 · outbound

This paper cites Khoromskij, Constructive Approximation - CONSTR APPROX34(2009), 10.1007/s00365-011-9131-1.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Khoromskij, Constructive Approximation - CONSTR APPROX34(2009), 10.1007/s00365-011-9131-1

Reference 22

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Observation bcb3e51b-30ea-4a15-be1b-94dc9511ba7a · outbound

This paper cites Richter, L.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Richter, L

Reference 23

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Observation 4a24a012-95bf-448b-a83d-85d54502f4d4 · outbound

This paper cites Corona, A.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Corona, A

Reference 24

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Observation 48a8d0fc-cd44-4380-8c9d-2305bd02c496 · outbound

This paper cites Matrix Product State Representations.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Matrix Product State Representations

Reference 25

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Observation a6004c18-8218-4b86-99c4-4599053bffdd · outbound

This paper cites Kl¨ umper, A.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Kl¨ umper, A

Reference 26

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This paper cites an unresolved cited work.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 27

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Observation d0a82344-750f-4187-b2b0-f2c103af7d99 · outbound

This paper cites an unresolved cited work.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Unresolved cited work

Reference 28

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Observation 0b5ea361-8aa9-475a-ab57-eec1174ed9f0 · outbound

This paper cites Oseledets and E.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Oseledets and E

Reference 29

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Observation 7b730285-2189-4d2d-b10a-ac0efa7f3306 · outbound

This paper cites Dolgov and D.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Dolgov and D

Reference 30

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Observation f5b64ee9-3a7d-4165-9c16-29056898dd27 · outbound

This paper cites Learning tensor networks with tensor cross interpolation: new algorithms and libraries.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Learning tensor networks with tensor cross interpolation: new algorithms and libraries

Reference 31

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Observation 75eabdd3-6cbf-40f9-b469-4d0a6ce0fd5b · outbound

This paper cites Dolgov,Tensor product methods in numerical simula- tion of high-dimensional dynamical problems, Ph.D.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Dolgov,Tensor product methods in numerical simula- tion of high-dimensional dynamical problems, Ph.D

Reference 32

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Observation bf0c0315-8458-40e1-bf26-ba356cbaf947 · outbound

This paper cites Holtz, T.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Holtz, T

Reference 33

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Observation e8a0c56e-a94c-43a0-a5ac-ffb822ddfb96 · outbound

This paper cites Lubasch, P.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Lubasch, P

Reference 34

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Observation 5ac5f0aa-0645-402e-a88f-4bc1ea97f8cf · outbound

This paper cites Wood, Communications in Numerical Methods in En- gineering22, 797 (2006).

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Wood, Communications in Numerical Methods in En- gineering22, 797 (2006)

Reference 35

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Observation f78d4808-2429-4ab8-9c84-6067ff5d9176 · outbound

This paper cites PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs

Reference 36

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Observation e9ce0bbf-dba9-41d5-93aa-9c55f1e903ec · outbound

This paper cites Burgers’ equation solution using hermite quadrature,.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Burgers’ equation solution using hermite quadrature,

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.499983Z digest=sha256:af20d7a797427fd63dfbdfbbada940449819f07f07c0c13ced9fcdaa45d74e46

Observation 4ac01230-f2af-4ca7-8de0-168064318039 · outbound

This paper cites Basdevant, M.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Basdevant, M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.662661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.502505Z digest=sha256:fe29488a023bcc70678ba39e94e93e0e2cbb73fc0919ff170500e24eec3b88a7

Observation b5372cf3-6571-4d37-b521-b41a55150d08 · outbound

This paper cites Boundary Vector.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Boundary Vector

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.655313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.505703Z digest=sha256:bae67b37a2caaddd03df01b62d0beb5223bb6f197ec860007a4ac7ce13fbcfa6

Observation 9e6220b6-e106-44c7-be07-c8826b134f0a · outbound

This paper cites Diagonal QTT.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Diagonal QTT

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.646148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.508535Z digest=sha256:679122cbd5783d1a66bd7845b10b916f9aff6c90f7dd9ab8c63e442acf725b2b

Observation 88f63136-5613-41bf-adeb-e8c228cd5cbe · outbound

This paper cites Eraser QTT.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Eraser QTT

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.637705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.511316Z digest=sha256:17d540c64d14adf40f50eaed0c11007b54d7ac778e5e8bcd317b575958973d7b

Observation 8e85625c-5485-44ed-8447-cdda2d1a3a24 · outbound

This paper cites The trick of this construction is to use the trigonometric identity sin(α±β) = sin(α) cos(β)±cos(α) sin(β).

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration The trick of this construction is to use the trigonometric identity sin(α±β) = sin(α) cos(β)±cos(α) sin(β)

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.628823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.514161Z digest=sha256:465594753ba22058159427c056bba60f086022bff71c8b841a01d223d2aeeee8

Observation ca200e5e-f31c-4ffb-97c0-ac9ff50078cc · outbound

This paper cites Time(s) Build B.C.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Time(s) Build B.C

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.620444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.516874Z digest=sha256:81d1295de8a2123f7817a45e4cd39ba3a8a0d6d4dae1fb27c387ee574961a63f

Observation 40fbfa0f-122d-4bce-bf73-7c9bf1f401e2 · outbound

This paper cites Consider the Laplace equation ∇2u= 0,(x,y)∈(0,1)×(0,1), with boundary conditions: u(x,0) = sin(kπx) sinh(kπ), u(x,1) = 0, u(0,y) = 0, u(1,y) = 0.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration Consider the Laplace equation ∇2u= 0,(x,y)∈(0,1)×(0,1), with boundary conditions: u(x,0) = sin(kπx) sinh(kπ), u(x,1) = 0, u(0,y) = 0, u(1,y) = 0

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.612015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.520839Z digest=sha256:b220ece3313227f706f24a117d5260339a50a6e933fb89705395383939d42b8b

Observation 25fc1d8a-f944-46da-94a8-024b01a41845 · outbound

This paper cites QTT Analytic solver.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration QTT Analytic solver

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.603554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.523806Z digest=sha256:6bfaf4d660a2e76255d642e97d6ef0ff2d9bb4bc13e4e3cb96674508eb6a3a6c

Observation 3928e542-c5ae-42d6-9ca3-6f83c3754445 · outbound

This paper cites QTT Optimized.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration QTT Optimized

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.595145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.526585Z digest=sha256:96cbb10662607c550ae406b57047b7aa8070fe2be504ff9fbadea6308645598b

Observation 4dbb68bc-70e1-418d-a05f-68bd13b74b23 · outbound

This paper cites We consider the equation with the following initial and boundary conditions: ∂u ∂t = (0.01/π)∂2u ∂x2−u ∂u ∂x, x∈[−1,1],t∈[0,1] u(x,0) =−sin(πx), u(−1,t) =u(1,t) = 0.

Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration We consider the equation with the following initial and boundary conditions: ∂u ∂t = (0.01/π)∂2u ∂x2−u ∂u ∂x, x∈[−1,1],t∈[0,1] u(x,0) =−sin(πx), u(−1,t) =u(1,t) = 0

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:18:26.586265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T21:18:26.529427Z digest=sha256:7fbce8827a50635e007dcac11c09293dfc41dec5464f41f49f95347bf2121ff9

Pith citing papers

Observation ab1e95ff-61ef-43bb-be83-9d3d5b3dee22 · inbound

Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation cites this paper.

Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-05-19T06:52:07.705332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-19T06:49:58.593083Z digest=sha256:15510f9656822c5735a87d78c3786c6743a73c80eb20a576348eadc1ead43921

Observation 55bdd230-fcd6-4249-99f0-eabdbf111b81 · inbound

Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates cites this paper.

Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

Reference 71

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:57:08.430136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-19T05:53:04.243733Z digest=sha256:a6cbcb1922d50d7bca16b170cde3dd0b9b83cb0830f8df551bd08b25ba2cfc10

Observation 3653f4f2-629e-46e4-989b-80f8f680137b · inbound

Simulating Quantum Turbulence with Matrix Product States cites this paper.

Simulating Quantum Turbulence with Matrix Product States Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-15T17:31:07.732220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:31:07.732220Z digest=sha256:a153f4807d8f07e1c01a7ab6b030cbee3ce717e540dcedceb854c18ff03f5ffd

Observation fbdcf120-f66c-47d5-91b5-122acf8bfb89 · inbound

Tensor-network approach to quantum optical state evolution beyond the Fock basis cites this paper.

Tensor-network approach to quantum optical state evolution beyond the Fock basis Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T21:31:02.568050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:31:02.568050Z digest=sha256:9d6a79ff0c5eaa346044ac2c16ecbbc21273dd88e4afdb58cead439988744ce0

Observation 98a1ecff-042c-420e-bb87-f38808149b26 · inbound

Quantum-Inspired Simulation of 2D Turbulent Rayleigh-B\'enard Convection cites this paper.

Quantum-Inspired Simulation of 2D Turbulent Rayleigh-B\'enard Convection Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:11:53.418804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T07:07:55.646906Z digest=sha256:637fb369b5f0da87a314c1b0ae61f75cbeac66702fdae997a9644b409a3fcb55

Observation f4edaab8-f1da-44e1-bc32-6233458630a0 · inbound

A tensor-train multidimensional inverse Laplace transform cites this paper.

A tensor-train multidimensional inverse Laplace transform Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T14:47:04.251101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-28T00:10:37.988512Z digest=sha256:17f850cc42facd493551d115fe06df57eacd3b093f0e16ea9b2d644ed922f55c