{"slug": "lecture-notes-on-physics-informed-neural-networks-neural-operators-and-their", "title": "Lecture notes on Physics Informed Neural Networks, Neural Operators, and their applications", "summary": "The University of Bozen/Bolzano has released lecture notes from its 2025/2026 PhD course on Physics Informed Neural Networks, published as arXiv:2609.17638v1. The notes cover Physics Informed Deep Neural Networks (PINN) and Neural Operators (NOs), including implementation from scratch in PyTorch and with NVIDIA PhysicsNeMo, and address applications in engineering, physics, and petroleum reservoir problems. Topics include Mixture-of-Models, Fourier Neural Operators, and Physics-Informed Kolmogorov-Arnold Networks (PIKANs).", "body_md": "arXiv:2609.17638v1 Announce Type: new \nAbstract: This is the set of lecture notes for the PhD course \\href{https://www.unibz.it/en/faculties/engineering/phd-computer-science/study-course-offering/2025/36967}{\\textit{Physics Informed Neural Network}, held at the University of Bozen/Bolzano} in the academic year 2025/2026.\n  The goal of the course was to introduce the concept of Physics Informed Deep Neural Networks (PINN) and Neural Operators (NOs), discuss their implementation from scratch in PyTorch and using advanced ad-hoc developed open-source libraries such as NVIDia PhysicsNeMo to address real-world problems in various fields (engineering, physics, petroleum reservoir). We discuss recent topics such as Mixture-of-Models, Fourier Neural Operators, Physics-Informed Kolmogorov-Arnold Networks (PIKANs) and Fourier Neural Operators.", "url": "https://wpnews.pro/news/lecture-notes-on-physics-informed-neural-networks-neural-operators-and-their", "canonical_source": "https://arxiv.org/abs/2609.17638", "published_at": "2026-09-17 04:00:00+00:00", "updated_at": "2026-09-17 04:25:55.396285+00:00", "lang": "en", "topics": ["machine-learning", "neural-networks", "ai-research", "ai-tools"], "entities": ["University of Bozen/Bolzano", "arXiv", "PyTorch", "NVIDIA PhysicsNeMo", "Physics Informed Neural Networks", "Neural Operators", "Fourier Neural Operators", "Physics-Informed Kolmogorov-Arnold Networks"], "alternates": {"html": "https://wpnews.pro/news/lecture-notes-on-physics-informed-neural-networks-neural-operators-and-their", "markdown": "https://wpnews.pro/news/lecture-notes-on-physics-informed-neural-networks-neural-operators-and-their.md", "text": "https://wpnews.pro/news/lecture-notes-on-physics-informed-neural-networks-neural-operators-and-their.txt", "jsonld": "https://wpnews.pro/news/lecture-notes-on-physics-informed-neural-networks-neural-operators-and-their.jsonld"}}