September 08, 2025 review Advances in physics-informed neural networks for solving complex partial differential equations and their engineering applications: A systematic review Engineering Applications of Artificial Intelligence DOI: 10.1016/j.engappai.2025.112044 OpenAlex Authors 0 Author list not loaded yet. Cited by 0 stored of 54 References 2 Search Sort Most cited Newest Oldest Patent citations Title Any typearticle review book-chapter conference-paper preprint dissertation book dataset other Any fieldAgricultural and Biological Sciences Arts and Humanities Biochemistry, Genetics and Molecular Biology Business, Management and Accounting Chemical Engineering Chemistry Computer Science Decision Sciences Dentistry Earth and Planetary Sciences Economics, Econometrics and Finance Energy Engineering Environmental Science Health Professions Immunology and Microbiology Materials Science Mathematics Medicine Neuroscience Nursing Pharmacology, Toxicology and Pharmaceutics Physics and Astronomy Psychology Social Sciences Veterinary Open access Recent advances in metasurface design and quantum optics applications with machine learning, physics-informed neural networks, and topology optimization methods 2023 Light Science & Applications article Materials Science Metamaterials and Metasurfaces Applications Open access cited by 1 patent 270 citations Effects of variational formulations on physics‐informed neural network performance in solid mechanics 2023 PAMM article Physics and Astronomy Model Reduction and Neural Networks Open access 8 citations 2 results