investigating some computational and numerical aspects of the Fourier interpolation of a periodic function
investigating some computational and numerical aspects of the Lagrange interpolating polynomial
numerical techniques to determine the steady states of a dynamical system
collocation spectral methods is used to solve an initial-value problem
most basic numerical methods to solve Cauchy problem
numerical solution of the Poisson equation
I. Quick Introduction to Physics-Informed Neural Networks (PINNs) Since PINNs are a really hot topic in science and in the deep learning community i will try in the following to give a quick introduction to the concept and to the main ideas behind it. I will not go into the details of the implementation or the mathematics behind it, for this you can refer to all the great papers and articles that are available freely on the subject [1] [2] [3]