Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:01:57.295577Z
Paper Citation Record · LEDGER
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
As of 17 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 3 inbound Pith citation observations for arXiv:2505.08491.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:40:06.566254Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-02T00:16:10.520619Z
Reference resolution
48 of 48 outbound references displayed
- verified exact1
- verified fuzzy37
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a55a8cad-69b8-41a8-b65f-b039c49e7033 · outbound
This paper cites an unresolved cited work.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:01:58.006540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0922fd9a-b662-4e32-b219-0d4bae0905c0 · outbound
This paper cites Multigrid-augmented deep learning preconditioners for the helmholtz equation.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Multigrid-augmented deep learning preconditioners for the helmholtz equation
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.993674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 26af1fe7-0df4-4e4a-8f4c-9140a15db4c0 · outbound
This paper cites Petsc/tao users manual (rev.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Petsc/tao users manual (rev
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.978188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 634d7a7a-40e2-43b4-8cb4-271b6ef9e037 · outbound
This paper cites an unresolved cited work.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:01:57.964903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9c814fac-bb0d-466e-b812-67dd19888fc3 · outbound
This paper cites Boon, Jan M.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Boon, Jan M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.952439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9a121fbe-57d7-40f6-96f6-1bcd6156d700 · outbound
This paper cites Chapter 3 - a mathematical guide to operator learning.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Chapter 3 - a mathematical guide to operator learning
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.940132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ea08a3b4-af37-47ec-a9eb-9c533186b555 · outbound
This paper cites Improving neural simulations with the emi model.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Improving neural simulations with the emi model
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.926790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5401e991-8d31-4291-bd57-abd4e5ae51c5 · outbound
This paper cites Algebraic multigrid methods for metric-perturbed coupled problems.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Algebraic multigrid methods for metric-perturbed coupled problems
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.913626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 21f388c8-b9d7-4a5e-839d-509d3dfbd47e · outbound
This paper cites Zikatanov.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Zikatanov
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.899459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7d921389-1963-42bc-ba78-9239ec2918d3 · outbound
This paper cites Parallel distributed computing using python.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Parallel distributed computing using python
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.881409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7fba1005-75da-4735-bb15-8bb38c123def · outbound
This paper cites Dugundji.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Dugundji
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.867416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 589fe0ea-8dc3-424f-b642-d2c68554340a · outbound
This paper cites An approximate block fac- torization preconditioner for mixed-dimensional beam-solid interaction.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner An approximate block fac- torization preconditioner for mixed-dimensional beam-solid interaction
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.854183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 49cc0da1-2b71-4f8f-b9eb-c5a83146328c · outbound
This paper cites Mesh-informed neural networks for operator learning in finite element spaces.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Mesh-informed neural networks for operator learning in finite element spaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.840517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dc9e0cf2-f417-4ce6-9832-e51a5697733d · outbound
This paper cites A numerical method for two-phase flow in fractured porous media with non-matching grids.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner A numerical method for two-phase flow in fractured porous media with non-matching grids
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.826582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cee7fef8-da6c-42de-b1bb-7f5c24887b37 · outbound
This paper cites Numerical solution of the parametric diffusion equation by deep neural networks.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Numerical solution of the parametric diffusion equation by deep neural networks
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:01:57.133800Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 639604d1-86b5-452b-9b90-c2fbc7231e3c · outbound
This paper cites Splitting method for elliptic equations with line sources.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Splitting method for elliptic equations with line sources
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.804265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 05762372-328d-46ef-8642-c906b65a95e5 · outbound
This paper cites Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T22:01:57.381786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation be84202d-6dd5-4fa0-b7f7-44ede14adbf4 · outbound
This paper cites One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.790268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b00ad6b5-c631-4393-8635-a7a2401b5498 · outbound
This paper cites Deeponet based preconditioning strategies for solving parametric linear systems of equations.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Deeponet based preconditioning strategies for solving parametric linear systems of equations
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.773694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9ea48904-c399-46c4-88c1-699488b1a045 · outbound
This paper cites Kovachki, Samuel Lanthaler, and Andrew M.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Kovachki, Samuel Lanthaler, and Andrew M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.756884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d211fc46-949f-4326-98c3-287577e1d488 · outbound
This paper cites Kuchta, M.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Kuchta, M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.744716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 971eeef8-4c1a-4ba0-9e82-43f249a6f7bc · outbound
This paper cites Analysis and approximation of mixed-dimensional pdes on 3d-1d domains coupled with lagrange multipliers.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Analysis and approximation of mixed-dimensional pdes on 3d-1d domains coupled with lagrange multipliers
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.732329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d8d0f3b8-c0cd-4bb9-813c-abaed7461656 · outbound
This paper cites Preconditioning trace coupled 3d-1d systems using fractional laplacian.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Preconditioning trace coupled 3d-1d systems using fractional laplacian
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.717567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4449953a-fef7-41a1-9af1-f0c9b13d0978 · outbound
This paper cites Fern´ andez.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Fern´ andez
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.704170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 08eba013-edd2-45d9-a1e9-f8b27e28942f · outbound
This paper cites Phipps, Tobias A.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Phipps, Tobias A
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.688372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a16bb581-a382-4ccb-87d4-bd064a81dd93 · outbound
This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Learning nonlinear operators via deeponet based on the universal approximation theorem of operators
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.674081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5eb04752-4c8d-4978-9fdd-3b4ba26656ed · outbound
This paper cites Cuda: Scalable parallel programming for high-performance scientific computing.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Cuda: Scalable parallel programming for high-performance scientific computing
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.660914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1ac7fd31-fc8b-46fe-9b7e-790d608288dd · outbound
This paper cites Preconditioning discretizations of systems of partial differen- tial equations.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Preconditioning discretizations of systems of partial differen- tial equations
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.648713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2938a6e8-1691-44f0-9b86-448414884315 · outbound
This paper cites A neural network multigrid solver for the navier-stokes equations.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner A neural network multigrid solver for the navier-stokes equations
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.634008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 03b97360-707c-47fd-b8c9-58286c53eeec · outbound
This paper cites Grill, Wolfgang A.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Grill, Wolfgang A
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.621640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation dfb521ac-d96a-4bbe-adaf-55688ce181f6 · outbound
This paper cites A survey on optimized implementation of deep learning models on the nvidia jetson platform.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner A survey on optimized implementation of deep learning models on the nvidia jetson platform
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.608771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 116411dd-627b-4870-bb7a-4567b8db3086 · outbound
This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner PyTorch: An Imperative Style, High-Performance Deep Learning Library
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:01:57.206640Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b89ee690-1464-4d95-8aed-772733070523 · outbound
This paper cites Phipps, Marta D’Elia, H.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Phipps, Marta D’Elia, H
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.594564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 91b4d9e3-59de-4903-a0a5-01dfc61c5ac0 · outbound
This paper cites Possenti, A.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Possenti, A
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.578941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ba255904-46a3-4bd0-841c-e8ac45d0ee66 · outbound
This paper cites On the Spectral Bias of Neural Networks.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner On the Spectral Bias of Neural Networks
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:01:57.222086Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c496c599-d375-4354-96f2-31b36f64c02b · outbound
This paper cites U-net: Convolutional networks for biomedical image segmentation.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner U-net: Convolutional networks for biomedical image segmentation
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:01:57.227204Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 219ab4c1-7fe2-468b-8369-e7cc4e1a4c48 · outbound
This paper cites an unresolved cited work.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:01:57.557966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f10078e5-ad8f-4bc8-a426-bf3a7b7c8f87 · outbound
This paper cites A flexible inner-outer preconditioned gmres algorithm.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner A flexible inner-outer preconditioned gmres algorithm
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.534995Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2956d037-a7bd-4781-82be-4d1944e93076 · outbound
This paper cites Multigrid.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Multigrid
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.518396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7f3e52d0-3cea-40aa-afb8-a9449973964b · outbound
This paper cites Hybrid models for simulating blood flow in microvascular networks.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Hybrid models for simulating blood flow in microvascular networks
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.501282Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4d1b9489-a96c-4a08-ae1b-d5385d030313 · outbound
This paper cites A Unified Framework for U-Net Design and Analysis.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner A Unified Framework for U-Net Design and Analysis
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:01:57.249553Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a83bc6d5-f684-4ec6-b4bb-0ac35e432e93 · outbound
This paper cites Overview frequency principle/spectral bias in deep learning.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Overview frequency principle/spectral bias in deep learning
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.484337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 66d95e12-2ed3-4742-875f-eddc2f84a71d · outbound
This paper cites an unresolved cited work.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:01:57.467875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 38e7001b-3b88-42c9-ba3e-67b26f11c748 · outbound
This paper cites Furthermore,A−1∈GL (W,V ).
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Furthermore,A−1∈GL (W,V )
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.453665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 280709b9-bfac-410d-aa76-1478d5dd1492 · outbound
This paper cites an unresolved cited work.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T22:01:57.440770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 908c4a2a-b87d-4fc3-962e-b5d48c8c2d04 · outbound
This paper cites We notice that the operator C =A−1(A−B) = IdV−A−1B is an endomorphism from V onto itself.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner We notice that the operator C =A−1(A−B) = IdV−A−1B is an endomorphism from V onto itself
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.426676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 147e3763-cf83-49f6-a2f3-21f03235f368 · outbound
This paper cites To see this, let A∈ GL(V,W ) and assume B1,B 2∈L (W,V ) are two -possibly different- inverses of A.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner To see this, let A∈ GL(V,W ) and assume B1,B 2∈L (W,V ) are two -possibly different- inverses of A
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.413326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9269f4f9-1fd7-45a9-b0bf-8de377574224 · outbound
This paper cites Define the error En =A−An.
Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner Define the error En =A−An
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:01:57.398802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
Observation 4c4dae05-fea4-4874-af7f-491fdba2d29a · inbound
Neural Preconditioning via Krylov Subspace Geometry cites this paper.
Neural Preconditioning via Krylov Subspace Geometry Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:40:06.566254Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9cd746d-32e9-45f8-96dd-899a4ae18415 · inbound
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method cites this paper.
Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T10:26:34.019418Z
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Observation 43a3f5c6-e2b1-4be9-9e3f-4875957fbaf9 · inbound
Neural operator preconditioning from mixed dataset for the Helmholtz equations: Application to transcranial ultrasound cites this paper.
Neural operator preconditioning from mixed dataset for the Helmholtz equations: Application to transcranial ultrasound Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
Reference 7
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- local_arxiv, observed 2026-08-01T19:43:19.665544Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.