Physics-informed neural networks were tested for their capabilities in predicting concentration profiles in gradient liquid ...

Predict dynamic behaviors in a physics system in a way that's computationally efficient and adaptable to a range of scenarios.

If pure math can teach us anything, it’s this: occasionally, your special interest might just change the world. For Joshua ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

The course gives an introduction to analytical techniques for partial differential equations, in particular to separation of variables. In addition the course treats qualititative properties of ...

Generate an unlimited number of Chladni patterns by solving the rectangular and polar wave equation via separation of variables and eigenvalues.

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...