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Source: paper_references, paper_reference_links, observed 2026-08-07T12:49:00.011186Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 3 inbound Pith citation observations for arXiv:2505.23702.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: paper_references, paper_reference_links, observed 2026-08-07T12:49:00.011186Z
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T10:40:36.511814Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-08T16:55:08.391283Z
53 of 53 outbound references displayed
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Observation b56cde09-68b0-449f-8cb9-4eb4afa5bedd · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs American Mathematical Society, 2022
Reference 1
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Observation b8c313ef-df52-4326-b71b-3b1a07e8bf5a · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Cam- bridge university press, 2002
Reference 2
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f523ab33-807a-4d15-912f-a86e1a79f012 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Hyperbolic systems of conservation laws ii.Communications on Pure and Applied Mathematics, 10(4):537–566, 1957
Reference 3
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6a5220ca-13e1-4ed4-afeb-9d27e2096484 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Lax–hopf based incorporation of internal boundary conditions into hamilton–jacobi equation
Reference 4
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fd9c3e3f-ef0a-4cbb-b3e3-710014a94af5 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Lax–hopf based incorporation of internal boundary conditions into hamilton-jacobi equation
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1ea281ea-9864-4871-9a3e-59a6310eaa33 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs A discontinuous galerkin finite element method for hamilton–jacobi equations.SIAM Journal on Scientific computing, 21(2):666–690, 1999
Reference 6
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8229cac4-fb21-4143-aaf8-33f4cb8b66cc · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs The initial value problem for nonlinear hyperbolic equations in two independent variables.Ann
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9c85c426-9c8b-40c9-8879-8035ba0c6642 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics.Sbornik: Mathematics, 47(8-9):357–393, 1959
Reference 8
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b4066e68-c6e4-4b1d-8b08-0e0573dac437 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs High order eno and weno schemes for computational fluid dynamics
Reference 9
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 976e7d01-ad57-4e84-aaed-3727a09cd677 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Weighted essentially non-oscillatory schemes.Journal of computational physics, 115(1):200–212, 1994
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8594c225-d585-4337-89d5-281a10097ba2 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs The local discontinuous galerkin method for time-dependent convection-diffusion systems.SIAM Journal on Numerical Analysis, 35 (6):2440–2463, 1998
Reference 11
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 78a5a871-5104-4d0f-a0ab-8d499d02395c · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Fourier Neural Operator for Parametric Partial Differential Equations
Reference 12
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Unavailable: canonical work link unavailable.
Observation 268dd88a-c0fe-4fda-8fee-66a749c62a44 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021
Reference 13
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Unavailable: canonical work link unavailable.
Observation 856a6741-ac7c-4a1e-8389-4add43355dbe · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Convolutional networks for images, speech, and time series.The handbook of brain theory and neural networks, 3361(10):1995, 1995
Reference 14
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Unavailable: canonical work link unavailable.
Observation 23099166-7f0a-49d2-a9a7-a2463560c11a · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Geometric deep learning: going beyond euclidean data.IEEE Signal Processing Magazine, 34(4):18–42, 2017
Reference 15
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b4b59c4f-4aed-4f79-a536-3a8ace2ac6d5 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Characterizing possible failure modes in physics-informed neural networks
Reference 16
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Unavailable: canonical work link unavailable.
Observation bfac2d0a-91d7-4e1c-9f8b-691aa73db4ec · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
Reference 17
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Unavailable: canonical work link unavailable.
Observation c372d24a-d049-4635-ac8a-3dfff0f68210 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 18
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Observation eaa275a8-2ea2-4361-bfb6-066ca5a07708 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 19
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Observation ddc66daa-3280-44e5-8e1b-c475d751d346 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Understanding the behaviour of contrastive loss
Reference 20
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f8fad323-8c8b-4104-a390-a82600a4a82f · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Limitations of physics informed machine learning for nonlinear two-phase transport in porous media.Journal of Machine Learning for Modeling and Computing, 1(1), 2020
Reference 21
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Observation 53218b02-0faf-4530-8092-ffea89899e12 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs wpinns: Weak physics informed neural networks for approximating entropy solutions of hyperbolic conservation laws.SIAM Journal on Numerical Analysis, 62(2):811–841, 2024
Reference 22
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5d80522e-33df-401d-819c-3669b285fc62 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Ppinn: Parareal physics-informed neural network for time-dependent pdes.Computer Methods in Applied Mechanics and Engineering, 370:113250, 2020
Reference 23
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Observation 5d4b9601-bad0-4998-97b1-9031da215442 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 24
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Observation 895de784-3d8d-4c2d-a54b-86520299a02c · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Enhanced fifth order weno shock-capturing schemes with deep learning.Results in Applied Mathematics, 12: 100201, 2021
Reference 25
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ce6b1698-51bd-467e-bba8-e7b3b7246b46 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Roenet: Predicting discontinuity of hyperbolic systems from continuous data.International Journal for Numerical Methods in Engineering, 125(6):e7406, 2024
Reference 26
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 85221ce1-5912-4845-83db-487c14825455 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs On kinematic waves i
Reference 27
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Observation 3ad81b7c-6e95-4e74-86b2-6e6b2f629474 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 28
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 408fd8d9-0f56-46de-81cc-304edb8ab57e · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs A study of traffic capacity
Reference 29
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 897defe8-217e-4bfc-9383-03dc9891ca31 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings.Transportation Research Part B: Methodological, 42(9):759–770, 2008
Reference 30
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0fc27e68-758e-4bf5-844f-4e9495f680ac · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Properties of a well-defined macroscopic fundamental diagram for urban traffic.Transportation Research Part B: Methodological, 45(3): 605–617, 2011
Reference 31
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bbf8ab36-7020-49cd-926f-502454c03869 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs An analysis of traffic flow.Operations research, 7(1):79–85, 1959
Reference 32
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 27de3847-b7ed-4b5e-ba50-89be31da2f30 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Speed, volume and density relationships.Quality and theory of traffic flow, 1961
Reference 33
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Observation 2dad0960-1caf-4f93-8b12-159f30660cb4 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 34
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 36108a55-42d7-4bb4-8d75-53b59b493b3a · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs A fractional burgers equation arising in nonlinear acoustics: theory and numerics.IFAC Proceedings Volumes, 46(23): 406–411, 2013
Reference 35
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6f43f6fd-8bf6-4dfd-996e-238ee989005c · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 36
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5bb55184-7170-4c3d-8bc9-14d3446467bf · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Traffic current fluctuation and the burgers equation.Japanese journal of applied physics, 17(5):811, 1978
Reference 37
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fbf4bb42-f0f1-46ab-8ee2-741dc5572e59 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Notes on the burgers equation.University of Marylan, 2011
Reference 38
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Observation 1f830e00-4d31-467d-a7a8-7f40a8d67698 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 39
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a575e4e2-0617-4b91-9295-d8cafa042443 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs second order
Reference 40
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b903a8a5-5376-4340-ba77-6cdd8a26c986 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Structural properties of solutions arising from a nonequilibrium traffic flow theory.Transportation Research Part B: Methodological, 34(7):583–603, 2000
Reference 41
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Observation fd2f447f-d218-4373-a097-c10f70d53f29 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs I-24 motion: An instrument for freeway traffic science.Transportation Research Part C: Emerging Technologies, 155: 104311, 2023
Reference 42
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Observation 3a36d335-cf77-49fb-b7cf-21a27dfceacd · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs So you think you can track?
Reference 43
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5c2bca6b-87b2-49e3-9912-bdb1863d3a0f · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Automatic vehicle trajectory data reconstruction at scale
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 359a7ada-0e42-4f2a-8012-044ff2ce8d83 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Afinitedifferencemethodforthenumericalcomputationofdiscontinuous solutions of the equations of fluid dynamics.Mathematicheckii Sbornik, 47:271–290, 1959
Reference 45
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3b02b42c-c70d-4ffe-a289-908141ea87cb · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs One-sided difference approximations for nonlinear conservation laws.Mathematics of Computation, 36(154):321–351, 1981
Reference 46
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2245a6dc-787d-4c21-8e1f-e9d1deae95f5 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs second order
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b6980412-0356-463a-8cda-2e33e337719b · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs A non-equilibrium traffic model devoid of gas-like behavior.Trans- portation Research Part B: Methodological, 36(3):275–290, 2002
Reference 48
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 35bb0dfa-fdd2-4ef7-92c9-26aa4a1850ff · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Parsing gigabytes of json per second.The VLDB Journal, 28(6):941–960, 2019
Reference 49
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Observation 76f47133-131f-46fa-8d01-d6f63b69e83b · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Unresolved cited work
Reference 50
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6ab36ab9-2ffa-4226-b9f0-e3e914fa81f7 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs •Otherwise, choose the stencil{f + i−1, f+ i }
Reference 51
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 46ce6d39-679e-4086-9e2f-512d8ee08bf1 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs A similar approach is applied to computeˆf − i+ 1 2 using the right-biased stencil
Reference 52
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Observation 073c6735-b1a4-4de8-b4b9-8e20a787c8e3 · outbound
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Each time step is represented as a separate input channel, for a total ofb input channels
Reference 53
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Observation ca766179-5ae8-4ecd-ab98-b04801776fd7 · inbound
Conservative Discrete Structure Stabilizes Autoregressive Rollouts in a 1D Drift Diffusion Poisson Benchmark (U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs
Reference 12
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Observation 81545985-36d3-460f-a927-8d2e37a7cbe7 · inbound
Mass-Conserving Physics-Informed Neural Networks For The One-Dimensional Advection-Diffusion Equation (U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs
Reference 25
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Observation 08c9688a-dd3a-4559-a415-c89cfa1e2fe7 · inbound
Guarantees by Construction for Learned Finite Volume Schemes on Steady Supersonic Flow (U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs
Reference 6
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