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Physics-informed neural networks (PINNs) as a means of discretizing partial differential equations (PDEs) are garnering much attention in the Computational Science and Engineering (CS&E) world. At least two challenges exist for PINNs at…

Computational Physics · Physics 2023-01-23 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby

Physics-informed neural network (PINN) is a data-driven solver for partial and ordinary differential equations(ODEs/PDEs). It provides a unified framework to address both forward and inverse problems. However, the complexity of the…

Machine Learning · Computer Science 2024-01-17 Abdul Hannan Mustajab , Hao Lyu , Zarghaam Rizvi , Frank Wuttke

Physics-Informed Neural Networks (PINNs), which integrate deep learning with physical prior knowledge, have proven to be a powerful tool for studying the dynamics of high-dimensional nonlinear systems. The present work utilizes PINNs to…

Quantum Gases · Physics 2026-02-05 Dongshuai Liu , Boris A. Malomed , Wen Zhang

We tackle the challenge of predicting vibrational stability in inorganic semiconductors for high-throughput screening, an essential attribute for evaluating synthesizability alongside thermodynamic stability, frequently missing in prominent…

Materials Science · Physics 2025-12-29 M. H. Zeb , M. Z. Kabir

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche

A physics-informed neural network (PINN), which has been recently proposed by Raissi et al [J. Comp. Phys. 378, pp. 686-707 (2019)], is applied to the partial differential equation (PDE) of liquid film flows. The PDE considered is the time…

Efficient simulation of Laser Powder Bed Fusion (LPBF) is crucial for process prediction due to the lasting issue of high computational cost associated with traditional numerical methods such as finite element analysis (FEA). While a…

Machine Learning · Computer Science 2026-05-25 R. Sharma , Y. B. Guo

A physics-informed neural network (PINN) models the dynamics of a system by integrating the governing physical laws into the architecture of a neural network. By enforcing physical laws as constraints, PINN overcomes challenges with data…

Machine Learning · Computer Science 2025-04-23 Pengtao Dang , Tingbo Guo , Melissa Fishel , Guang Lin , Wenzhuo Wu , Sha Cao , Chi Zhang

Physics-informed neural networks (PINNs) are neural networks (NNs) that directly encode model equations, like Partial Differential Equations (PDEs), in the network itself. While most of the PINN algorithms in the literature minimize the…

Computational Engineering, Finance, and Science · Computer Science 2024-06-05 Marco Baldan , Paolo Di Barba

Physics-Informed Neural Networks (PINNs) have emerged as an influential technology, merging the swift and automated capabilities of machine learning with the precision and dependability of simulations grounded in theoretical physics. PINNs…

Physics-Informed Neural Networks (PINNs) have gained much attention in various fields of engineering thanks to their capability of incorporating physical laws into the models. However, the assessment of PINNs in industrial applications…

Machine Learning · Computer Science 2022-07-19 Thi Nguyen Khoa Nguyen , Thibault Dairay , Raphaël Meunier , Mathilde Mougeot

Time-domain simulations are crucial for ensuring power system stability and avoiding critical scenarios that could lead to blackouts. The next-generation power systems require a significant increase in the computational cost and complexity…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Ignasi Ventura Nadal , Jochen Stiasny , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) have recently become a popular method for solving forward and inverse problems governed by partial differential equations (PDEs). By incorporating the residual of the PDE into the loss function of a…

Optimization and Control · Mathematics 2022-11-07 Saviz Mowlavi , Saleh Nabi

Physics-informed Neural Networks (PINNs) have recently emerged as a principled way to include prior physical knowledge in form of partial differential equations (PDEs) into neural networks. Although PINNs are generally viewed as mesh-free,…

Machine Learning · Computer Science 2022-10-04 Fabricio Arend Torres , Marcello Massimo Negri , Monika Nagy-Huber , Maxim Samarin , Volker Roth

Physics-Informed Neural Networks present a novel approach in SciML that integrates physical laws in the form of partial differential equations directly into the NN through soft constraints in the loss function. This work studies the…

Neural and Evolutionary Computing · Computer Science 2026-02-17 Suhas Suresh Bharadwaj , Reuben Thomas Thovelil

The inversion of DC resistivity data is a widely employed method for near-surface characterization. Recently, deep learning-based inversion techniques have garnered significant attention due to their capability to elucidate intricate…

Geophysics · Physics 2024-08-06 Rohan Sharma , Divakar Vashisth , Kuldeep Sarkar , Upendra Kumar Singh

We discuss nonlinear model predictive control (NMPC) for multi-body dynamics via physics-informed machine learning methods. Physics-informed neural networks (PINNs) are a promising tool to approximate (partial) differential equations. PINNs…

Optimization and Control · Mathematics 2021-09-23 Jonas Nicodemus , Jonas Kneifl , Jörg Fehr , Benjamin Unger

Physics-informed neural networks (PINNs) have recently emerged as a prominent paradigm for solving partial differential equations (PDEs), yet their training strategies remain underexplored. While hard prioritization methods inspired by…

Machine Learning · Computer Science 2025-12-22 Zhaoqian Gao , Min Yanga

Physics-Informed Neural Networks (PINNs) represent a significant advancement in Scientific Machine Learning (SciML), which integrate physical domain knowledge into an empirical loss function as soft constraints and apply existing machine…

Machine Learning · Computer Science 2024-09-18 Xiaoran Cheng , Sen Na

Physics-based models play a key role in battery management, yet face challenges in real-time applications due to the high computational cost of solving coupled algebraic-partial differential equations. To accelerate model simulation, this…

Applied Physics · Physics 2026-01-06 Yi Zhuang , Yusheng Zheng , Yunhong Che , Remus Teodorescu