Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:06:47.994755Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2506.17726.
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 2026-08-15T19:06:47.994755Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
49 of 49 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 56d85523-1e12-44b9-852e-071f1c82f69a · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks TensorFlow: A system for large-scale machine learning
Reference 1
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.
Observation 7baa8b57-2873-45fc-8fcc-39a9128c2124 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Automatic Differentiation in Machine Learning: A Survey
Reference 2
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.
Observation f45e7b55-9aad-4420-9860-7eb803debd3f · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Burgers' pinns with implicit euler transfer learning
Reference 3
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.
Observation e0ee2abb-3232-44a3-9f99-0f32b5271596 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Partition of Unity Methods
Reference 4
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.
Observation b3545a0b-f0a6-4737-a52e-ffa74a51d19f · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Jax: Autograd and xla
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 530d2171-7c44-409d-9489-4aa0f9d88a03 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed neural networks for heat transfer problems
Reference 6
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.
Observation 04202a64-9d97-4db9-8c43-4eabe9d2a11d · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed neural networks (PINNs) for fluid mechanics: A review
Reference 7
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.
Observation 16f1ed54-3996-4b7a-af0b-c3e4b5ec3212 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Distributed learning machines for solving forward and inverse problems in partial differential equations
Reference 8
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.
Observation 6e19c613-2387-4b16-aeed-11cb32ec1986 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics Informed Extreme Learning Machine (PIELM) – A rapid method for the numerical solution of partial differential equations
Reference 9
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.
Observation d2333458-5845-4f74-96a3-8b2f5e3d983a · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed kernel function neural networks for solving partial differential equations
Reference 10
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.
Observation 1176ad3a-b9e9-49fb-bb01-a709718e0c3a · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physical informed neural network for thermo-hydral analysis of fire-loaded concrete
Reference 11
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.
Observation c888ea1f-7fc6-40c8-96a4-b4a204831c44 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources
Reference 12
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.
Observation 9cdaeb9b-897a-49a7-a8e9-2871bcb7662c · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Transfer learning enhanced physics informed neural network for phase-field modeling of fracture
Reference 13
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.
Observation ddb5027a-27ae-4ef5-b7db-e8e9886fd2db · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A deep learning framework for solution and discovery in solid mechanics
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb102a52-50b6-4300-9340-ca2587809739 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Deep learning in computational mechanics: a review
Reference 15
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.
Observation b15859d9-de55-484c-a5f3-6d1ac485d8c7 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Long Short-term Memory
Reference 16
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.
Observation fbcdcbec-bb1c-46fe-8a17-7a78bf3278cf · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Multilayer feedforward networks are universal approximators
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f76bfaa-fa53-49cb-b884-762a7af0d0af · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Solving heat conduction problems with a moving heat source in arc welding processes via an overlapping nodes scheme based on the improved element- free Galerkin method
Reference 18
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.
Observation c256326f-8fa7-40bf-a0d1-aa1c0f94d7be · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks hp-VPINNs: Variational physics-informed neural networks with domain decomposition
Reference 19
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.
Observation 3b2547d5-7ef2-42d3-8559-777bd405fc7c · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Variational Physics-Informed Neural Networks For Solving Partial Differential Equations
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c0ebb22-2015-4c85-8515-64c0300e370c · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Adaptive finite element solution for the heat conduction with a moving heat source
Reference 21
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.
Observation 881ef635-4458-402e-a6c4-ae7722360ff6 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Temperature Field Due to a Moving Heat Source: A Moving Mesh Finite Element Analysis
Reference 22
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.
Observation 8b9d407b-22b6-4971-a0a5-823e724c866a · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Artificial neural networks for solving ordinary and partial differential equations
Reference 23
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.
Observation 2f3389bb-f24c-425d-b747-0f5741fd828f · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Neural-network methods for boundary value problems with irregular boundaries
Reference 24
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.
Observation 2b20f86a-ab21-43e8-92ab-b697a8147420 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Reynolds averaged turbulence mod- elling using deep neural networks with embedded invariance
Reference 25
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.
Observation 98f9670e-0be7-4faf-92b2-b4264b8ee87d · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A review of automatic differentiation and its efficient implementa- tion
Reference 26
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.
Observation 2f22987a-820e-4691-a502-cefb77fe2e17 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An efficient boundary-type meshfree method for analysis of two-dimensional laser heating problems
Reference 27
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.
Observation 38035dbe-7cea-4301-b595-cda1339b60b4 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Numerical prediction of fluid flow and heat transfer in welding with a moving heat source
Reference 28
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.
Observation 392df2d3-5392-495b-989e-7937ab8b1567 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation
Reference 29
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.
Observation 8e246f36-b18d-4a85-a83f-246d31039e77 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Parametric deep energy approach for elasticity accounting for strain gradient effects
Reference 30
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.
Observation 4b471bfd-3cbb-401e-aae0-104c128410ce · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
Reference 31
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.
Observation dd4cbed9-09cf-40c1-bacc-f20a78d644d0 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A paradigm for data-driven predictive modeling using field inversion and machine learning
Reference 32
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.
Observation 9bbda590-0040-45af-851f-efaba474274c · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Automatic differentiation in pytorch
Reference 33
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.
Observation a44e4ace-852d-4d69-ab0f-1b477d17443b · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Adaptive physics-informed neural networks for dynamic coupled thermo- mechanical problems in large-size-ratio functionally graded materials
Reference 34
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.
Observation 2f196656-b274-4f1b-9dd4-8c715bf9972b · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Spectral integrated neural networks (SINNs) for solving forward and inverse dynamic problems
Reference 35
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.
Observation e88ac2a8-6830-44a0-8e7e-5b7c5216db69 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial dif- ferential equations
Reference 36
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.
Observation 1b1f6ef9-3c8c-4d98-827b-f423d7676b6d · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 251b2040-e0f7-44cb-af57-c90a9618622f · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Two-dimensional numerical simu- lation of heat transfer with moving heat source in welding using the Finite Pointset Method
Reference 38
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.
Observation c51dab12-553c-4e6e-83b8-a0c02b669ad0 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Mathematical theory of heat distribution during welding and cutting, aw s
Reference 39
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.
Observation 34ecd48b-8b42-4afd-b348-bf9b3590674e · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47a46902-2701-45dd-8ee7-166a177d7606 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Advances in computational mod- eling for laser powder bed fusion additive manufacturing: A comprehensive review of finite element techniques and strategies
Reference 41
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.
Observation cacbc523-2949-4fd2-be1e-ad2c845c33f4 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks On the performance of a Chimera-FEM implementation to treat moving heat sources and moving boundaries in time- dependent problems
Reference 42
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.
Observation 4613eeca-a5e7-4649-9f45-8af47611beb2 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An Extrinsic Approach Based on Physics- Informed Neural Networks for PDEs on Surfaces
Reference 43
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.
Observation 5c86f71d-1cd3-4277-a7c9-6a32c4714a65 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Artificial intelligence for partial differential equations in computational me- chanics: A review
Reference 44
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.
Observation 91149b9d-47d8-4be2-ae45-b9ab8f5ebb18 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Isogeometric boundary element method for steady-state heat transfer with concentrated/surface heat sources
Reference 45
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.
Observation 39ba05bd-74cc-483a-a75e-d72979d9c55f · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Multi-domain physics-informed neural networks for solving transient heat conduction problems in multilayer materials
Reference 46
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.
Observation b80a4a38-5a4c-4149-9291-77da89dd9354 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A Comprehensive Survey on Transfer Learning
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e086aa1-a85b-4010-b120-151a87ab8328 · outbound
Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning
Reference 48
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.
Observation 61601e71-a59f-48f6-aecc-8fdcf4f248a4 · outbound
Reference 9310
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.
No inbound Pith citation observations are available.