TensorMesh is a finite element method (FEM) library built natively on PyTorch. It is designed to solve partial differential equations (PDEs) with the ergonomics of modern deep learning frameworks — ...
To fulfill the 2 Core Courses, take two Core Courses from two different Core Areas. CSE Core Courses are classified into six areas: Introduction to CSE, Computational Mathematics, High Performance ...
We introduce an extension of the hopping method, typically used in quantum systems, to mechanical networks for constructing dynamical matrices. This innovative and efficient approach facilitates the ...
This set of tutorials are written at an introductory level for an engineering or physical sciences major. It is ideal for someone who has completed college level courses in linear algebra, calculus ...
Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network. PINNs have emerged ...
The calculation of derivatives is ubiquitous in science and engineering. In thermodynamics, in particular, state properties can be expressed as derivatives of thermodynamic potentials. The manual ...