Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next

• Continual learning for autoregressive PDE surrogates under evolving physical regimes

  2026 Machine learning for computational science and engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

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  citations
• A new set of test functions for variational physics-informed neural networks in solid mechanics

  2026 Journal of Computational Physics article Physics and Astronomy Model Reduction and Neural Networks Open access

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  citations
• Leveraging the capabilities of physics-informed neural networks for channel optimization in PEM fuel cells

  2026 Applied Energy article Physics and Astronomy Model Reduction and Neural Networks Open access

  6

  citations
• Modelling of the cold rolling process for mild steel using physics-constrained neural network

  2026 Journal of Intelligent Manufacturing article Engineering Metallurgy and Material Forming Open access

  1

  citations
• Non-asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks

  2026 SEMA SIMAI Springer series conference-paper Physics and Astronomy Model Reduction and Neural Networks

  2

  citations
• Accelerating Computation of Sealing Deformation—A Physics-Informed Neural Network Framework for Hyperelastic Deformation

  2026 Lecture notes in computational science and engineering conference-paper Physics and Astronomy Model Reduction and Neural Networks

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  citations
• AI in soil moisture remote sensing

  2025 International Journal of Applied Earth Observation and Geoinformation article Environmental Science Soil Moisture and Remote Sensing Open access

  3

  citations
• Quantifying data needs in surrogate modeling for flow fields in two-dimensional stirred tanks with physics-informed neural networks

  2025 Physics of Fluids article Physics and Astronomy Model Reduction and Neural Networks

  6

  citations
• Hybrid modelling of leaf traits: Integrating neural networks with radiative transfer theory

  2025 Remote Sensing of Environment article Environmental Science Remote Sensing in Agriculture Open access

  8

  citations
• Reduced-order structure-property linkages for stochastic metamaterials

  2025 Physical Review Materials article Materials Science Machine Learning in Materials Science Open access

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• Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs

  2025 Scientific Reports article Computer Science Quantum Computing Algorithms and Architecture Open access

  13

  citations
• Digital Twin Road: value and implications involving data and application

  2025 Discover Applied Sciences article Engineering Infrastructure Maintenance and Monitoring Open access

  9

  citations
• MxlPy - Python Package for Mechanistic Learning in Life Science

  2025 bioRxiv (Cold Spring Harbor Laboratory) preprint Computer Science Explainable Artificial Intelligence (XAI) Open access

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  citations
• Inverse modeling of process parameters from data to predict the cooling behavior in injection molding

  2025 Journal of Manufacturing Processes article Physics and Astronomy Model Reduction and Neural Networks

  8

  citations
• Physics-Informed Neural Networks for Predicting Particle Properties in Plasma Spraying

  2025 Journal of Thermal Spray Technology article Physics and Astronomy Model Reduction and Neural Networks Open access

  8

  citations
• Extrapolation of cavitation and hydrodynamic pressure in lubricated contacts: a physics-informed neural network approach

  2025 Advanced Modeling and Simulation in Engineering Sciences article Engineering Tribology and Lubrication Engineering Open access

  8

  citations
• Newtonian and Lagrangian Neural Networks: A Comparison Towards Efficient Inverse Dynamics Identification

  2025 IFAC-PapersOnLine article Engineering Robotic Mechanisms and Dynamics Open access

  1

  citations
• Leveraging the Capabilities of Physics-Informed Neural Networks for Channel Optimization in PEM Fuel Cells

  2025 SSRN Electronic Journal preprint Physics and Astronomy Model Reduction and Neural Networks Open access

  0

  citations
• MxlPy—Python package for mechanistic learning and hybrid modelling in life science

  2024 Bioinformatics Advances software-paper Biochemistry, Genetics and Molecular Biology Gene Regulatory Network Analysis Open access

  1

  citations
• Physics-Informed Neural Networks for the Reynolds Equation with Transient Cavitation Modeling

  2024 Lubricants article Engineering Tribology and Lubrication Engineering Open access

  16

  citations

• Theory-training deep neural networks for an alloy solidification benchmark problem

  2020 Computational Materials Science article Physics and Astronomy Model Reduction and Neural Networks

  39

  citations

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