Statistical Design of Thermal Protection System Using Physics-Informed Neural Network | Paper Citation Record

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This paper cites critical temperatures.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network critical temperatures

Reference 1

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Observation 0769a9ce-7e3d-42f2-a723-15e60b7cdf98 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 2

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Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 3

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Observation fe287353-db63-41f8-b183-bcbc2247ef0c · outbound

This paper cites critical temperature for the bottom side of the TPS.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network critical temperature for the bottom side of the TPS

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.738047Z

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Observation c9207da6-89a2-4d52-855b-32c8011a8c65 · outbound

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Reference 5

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Observation 7258cebe-7a16-4619-be0b-ae77cad5b8f0 · outbound

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Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 6

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Observation 851293e0-57ca-4ba8-aae0-3c2a11ff89b3 · outbound

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Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 7

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Observation 5d3bd7a4-0187-4f78-870d-2c1ed9e92af2 · outbound

This paper cites Keep sampling until the parameters stabilize and meet the critical temperature constraint.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Keep sampling until the parameters stabilize and meet the critical temperature constraint

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.678002Z

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Observation b7790d5a-4185-4008-8ee5-09303819b2de · outbound

This paper cites Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles,

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-10T00:50:58.430976Z

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Observation 677a3fe2-a56e-4420-9397-0936a6b54a2d · outbound

This paper cites Adjust the parameters and constraints to improve performance if needed.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Adjust the parameters and constraints to improve performance if needed

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.648329Z

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Observation 6f9a2798-40d5-4db2-be7b-293c1b97085e · outbound

This paper cites If not, continue adjusting and testing.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network If not, continue adjusting and testing

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.633214Z

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Observation 5a974b30-159c-454d-8988-d27d34d5edbe · outbound

This paper cites The back temperature should not exceed a certain limit on the inside of the TPS.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The back temperature should not exceed a certain limit on the inside of the TPS

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.619428Z

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Observation 71d53ae4-fbbb-48ae-8a6c-335937936c2f · outbound

This paper cites The process begins with the selection of initial parameters, where geometric dimensions and material properties are chosen based on available materials or engineering estimates.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The process begins with the selection of initial parameters, where geometric dimensions and material properties are chosen based on available materials or engineering estimates

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.603800Z

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Observation 2f60c5a5-c135-4028-8769-92a5879740c7 · outbound

This paper cites The numerical solution of the Eq.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The numerical solution of the Eq

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.588159Z

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Observation 1cfac7ab-ab35-4d39-a5bd-6e6d6a278458 · outbound

This paper cites The PINN model showed good accuracy while running many times faster for parallel simulations.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The PINN model showed good accuracy while running many times faster for parallel simulations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.573239Z

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Observation 7e1543d0-9371-4459-9321-d8274a104ea9 · outbound

This paper cites Probabilistic Design Method for Aircraft Thermal Protective Layers Based on Surrogate Models,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic Design Method for Aircraft Thermal Protective Layers Based on Surrogate Models,

Reference 16

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.586135Z

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Observation 52de5022-3eab-4abc-9a48-ec3b25f22fac · outbound

This paper cites Efficient strategy for reliability-based optimization design of multidisciplinary coupled system with interval parameters,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Efficient strategy for reliability-based optimization design of multidisciplinary coupled system with interval parameters,

Reference 17

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.571075Z

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Observation db61543c-5f10-4856-b7e1-6b150ec6a25e · outbound

This paper cites Design of Thermal Protection System for Reusable Hypersonic Vehicle Using Inverse Approach,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Design of Thermal Protection System for Reusable Hypersonic Vehicle Using Inverse Approach,

Reference 18

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.555180Z

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Observation 3ce6243e-6103-449a-ae9a-6a4f05268ddd · outbound

This paper cites Thermal Protection System and Thermal Management for Combined-Cycle Engine: Review and Prospects,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermal Protection System and Thermal Management for Combined-Cycle Engine: Review and Prospects,

Reference 19

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Observation 23d034bf-5e08-49fc-9350-d37801373538 · outbound

This paper cites A Parametric Physics-Informed Deep Learning Method for Probabilistic Design of Thermal Protection Systems,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A Parametric Physics-Informed Deep Learning Method for Probabilistic Design of Thermal Protection Systems,

Reference 20

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.529688Z

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Observation 29039e7d-60ec-4ccb-a50b-3985e97223e0 · outbound

This paper cites Thermal protection systems for space vehicles: A review on technology development, current challenges and future prospects,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermal protection systems for space vehicles: A review on technology development, current challenges and future prospects,

Reference 21

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.514223Z

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Observation c2d8e1c2-3a87-4630-94f7-e446f6010c5e · outbound

This paper cites Probabilistic transient thermal analysis of an atmospheric reentry vehicle structure,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic transient thermal analysis of an atmospheric reentry vehicle structure,

Reference 22

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.498844Z

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Observation af280946-8532-48a0-88aa-da90d4d3b11f · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-10T00:50:58.557810Z

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Observation 93882311-cf58-47d4-90b5-f33caf54fcdb · outbound

This paper cites Monte Carlo Treatment of Data Uncertainties in Thermal Analysis,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Monte Carlo Treatment of Data Uncertainties in Thermal Analysis,

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.308927Z

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Observation 369642e6-8bba-49b7-984d-814e28421f80 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T00:50:58.767394Z

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Observation c19848a9-02bb-4356-98c7-f32d350c9fc9 · outbound

This paper cites Reliability-Based Optimization for Multidisciplinary System Design,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Reliability-Based Optimization for Multidisciplinary System Design,

Reference 26

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.482690Z

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Observation 850f6853-1ee2-4a7b-8b00-5c753c9e7880 · outbound

This paper cites Probabilistic Design of a Mars Sample Return Earth Entry Vehicle Thermal Protection System,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic Design of a Mars Sample Return Earth Entry Vehicle Thermal Protection System,

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-10T00:50:58.300722Z

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Observation 2dff1f66-8219-467f-bc01-9cd2e3346084 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 28

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Observation 8cb70624-1ae7-4568-b921-610079f214c1 · outbound

This paper cites Heat Conduction Plate Layout Optimization Using Physics-Driven Convolutional Neural Networks,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Heat Conduction Plate Layout Optimization Using Physics-Driven Convolutional Neural Networks,

Reference 29

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.455015Z

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Observation 63d7282e-5b17-4912-ac50-530a285cb3a9 · outbound

This paper cites On Machine-Learning-Driven Surrogates for Sound Transmission Loss Simulations,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network On Machine-Learning-Driven Surrogates for Sound Transmission Loss Simulations,

Reference 30

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.439979Z

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Observation bad1d9b9-6fae-4e4b-9ac9-70b189721aaf · outbound

This paper cites Uncertainty Analysis of Integrated Thermal Protection System with Rigid Insulation Bars,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Uncertainty Analysis of Integrated Thermal Protection System with Rigid Insulation Bars,

Reference 31

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.424751Z

Source-reported events for the cited work

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Observation fd7b5e58-1aaf-4349-84ad-6b28333a9668 · outbound

This paper cites Uncertainty Quantification of Aero-Thermal Performance of a Blade Endwall Considering Slot Geometry Deviation and Mainstream Fluctuation,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Uncertainty Quantification of Aero-Thermal Performance of a Blade Endwall Considering Slot Geometry Deviation and Mainstream Fluctuation,

Reference 32

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.407288Z

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Observation 093fce07-afc2-42e2-b492-da9ba76c42ed · outbound

This paper cites Thermo-mechanical optimization of metallic thermal protection system under aerodynamic heating,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermo-mechanical optimization of metallic thermal protection system under aerodynamic heating,

Reference 33

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.390424Z

Source-reported events for the cited work

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Observation 11c33383-1b4c-4d15-ac8c-9162ad29b4e4 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T00:50:57.028792Z

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Observation 000864ae-6bb6-4e2a-9f9b-f76d1dae1a68 · outbound

This paper cites Towards a Hybrid Digital Twin: Physics-Informed Neural Networks as Surrogate Model of a Reinforced Concrete Beam,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Towards a Hybrid Digital Twin: Physics-Informed Neural Networks as Surrogate Model of a Reinforced Concrete Beam,

Reference 35

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-10T00:50:58.172595Z

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Observation 0f7c2269-50d0-4f3a-b85a-5e25889d12ca · outbound

This paper cites A PINN Surrogate Modeling Methodology for Steady- State Integrated Thermofluid Systems Modeling,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A PINN Surrogate Modeling Methodology for Steady- State Integrated Thermofluid Systems Modeling,

Reference 36

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.363734Z

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Observation 500fdaa4-12c1-4ba9-81f3-505ee0eac099 · outbound

This paper cites PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T00:50:57.348053Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d4b5abb7-ba90-4011-9628-cb69f2860318 · outbound

This paper cites Physics-Informed Deep Learning- Based Modeling of a Novel Elastohydrodynamic Seal for Supercritical CO2 Turbomachinery,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Physics-Informed Deep Learning- Based Modeling of a Novel Elastohydrodynamic Seal for Supercritical CO2 Turbomachinery,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.542690Z

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Observation 3b071b8c-3330-4f1c-b15e-d78922a98e01 · outbound

This paper cites Apollo thermal- protection system development,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Apollo thermal- protection system development,

Reference 39

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.325060Z

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Observation 1a327d80-8cca-45f1-8233-9e2989a6d316 · outbound

This paper cites Probabilistic Modeling of Aerothermal and Thermal Protection Material Response Uncertainties,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic Modeling of Aerothermal and Thermal Protection Material Response Uncertainties,

Reference 40

Resolution: verified exact; doi, observed 2026-08-10T00:50:57.292830Z

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 a56c3563-48aa-41fc-ad7c-845f2ba128d1 · outbound

This paper cites A survey of Monte Carlo methods for parameter estimation,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A survey of Monte Carlo methods for parameter estimation,

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T00:50:57.067403Z

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Observation 8d75a644-dcfe-4f5d-acd3-ed03c67ec06d · outbound

This paper cites Efficient Sequential Monte-Carlo Samplers for Bayesian Inference.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Efficient Sequential Monte-Carlo Samplers for Bayesian Inference

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-10T00:50:57.266519Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54fd52ce-744e-4452-987c-c167fc9a365b · outbound

This paper cites A probabilistic fatigue life prediction for adhesively bonded joints via ANNs-based hybrid model,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A probabilistic fatigue life prediction for adhesively bonded joints via ANNs-based hybrid model,

Reference 43

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-10T00:50:57.913628Z

Source-reported events for the cited work

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Observation 9fe1be49-6000-4d4a-8cf2-0766681883b2 · outbound

This paper cites SpaceX to use LG Energy batteries for Starship rocket,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network SpaceX to use LG Energy batteries for Starship rocket,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.527288Z

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Observation cf0d45e0-7e89-4977-9a84-8b5fffc3ff5f · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-10T00:50:58.511281Z

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Observation 2a91bcb7-6603-4068-8805-c26a5c2ba18a · outbound

This paper cites Implicit-explicit Runge-Kutta methods for time- dependent partial differential equations,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Implicit-explicit Runge-Kutta methods for time- dependent partial differential equations,

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-10T00:50:57.092258Z

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Observation 2965f89d-08e3-44d8-80f5-3a3151a707e0 · outbound

This paper cites Automatic differentiation in machine learning: a survey.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Automatic differentiation in machine learning: a survey

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-10T00:50:57.097070Z

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Observation 359eb79f-9069-4d6b-979d-a86430f2d3e0 · outbound

This paper cites Deep learning | Nature.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Deep learning | Nature

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.496209Z

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 5101f2ca-784c-4657-8009-09c7e0b6f034 · outbound

This paper cites A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics - ScienceDirect.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics - ScienceDirect

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.480542Z

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Observation 17d341be-9377-45a0-832c-ad0f25c4b15e · outbound

This paper cites Deep Sparse Rectifier Neural Networks,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Deep Sparse Rectifier Neural Networks,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T00:50:58.464001Z

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Observation f7d2c267-ec46-4ec7-a3e6-1e776ee9fec5 · outbound

This paper cites The Metropolis-Hastings algorithm.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The Metropolis-Hastings algorithm

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-10T00:50:57.117016Z

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Observation a9efd52f-27ae-4cee-929f-81be4e67249d · outbound

This paper cites A Cloud-based Real-time Probabilistic Remaining Useful Life (RUL) Estimation using the Sequential Monte Carlo (SMC) Method.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A Cloud-based Real-time Probabilistic Remaining Useful Life (RUL) Estimation using the Sequential Monte Carlo (SMC) Method

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-10T00:50:57.201049Z

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Observation 0dbf2544-2a3a-474e-ab55-5bb7699b8e34 · outbound

This paper cites Sequential monte carlo: Enabling real-time and high-fidelity prognostics,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Sequential monte carlo: Enabling real-time and high-fidelity prognostics,

Reference 53

Resolution: verified exact; raw_fallback, observed 2026-08-10T00:50:57.748914Z

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 1f9cda53-e094-4b1c-8151-acefba5b3bf5 · outbound

This paper cites Thermal Characterization of Carbon Fiber-Reinforced Carbon Composites (C/C),.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermal Characterization of Carbon Fiber-Reinforced Carbon Composites (C/C),

Reference 54

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T00:50:57.177607Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4a4daee0-da5b-4ce2-ac65-580b4a903199 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-10T00:50:58.448009Z

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.

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Pith citing papers