The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations …
P Kidger - arXiv preprint arXiv:2202.02435, 2022 - arxiv.org
The conjoining of dynamical systems and deep learning has become a topic of great interest. In particular, neural differential equations (NDEs) demonstrate that neural networks …
Numerical simulation of fluids plays an essential role in modeling many physical phenomena, such as weather, climate, aerodynamics, and plasma physics. Fluids are well …
Digital twin can be defined as a virtual representation of a physical asset enabled through data and simulators for real-time prediction, optimization, monitoring, controlling, and …
THE field of fluid mechanics involves a range of rich and vibrant problems with complex dynamics stemming from instabilities, nonlinearities, and turbulence. The analysis of these …
H Kim, J Kim, S Won, C Lee - Journal of Fluid Mechanics, 2021 - cambridge.org
Recent attempts to use deep learning for super-resolution reconstruction of turbulent flows have used supervised learning, which requires paired data for training. This limitation …
We present a novel deep learning framework for flow field predictions in irregular domains when the solution is a function of the geometry of either the domain or objects inside the …
Embodied intelligence (intelligence that requires and leverages a physical body) is a well- known paradigm in soft robotics, but its mathematical description and consequent …