Runge-Kutta adaptive-step solvers for nonlinear PDEs. Solvers include both exponential time differencing and integrating factor methods.

Werthmüller, D., K. Key, and E. Slob, 2019, A tool for designing digital filters for the Hankel and Fourier transforms in potential, diffusive, and wavefield modeling: Geophysics, 84(2), F47-F56.

This program computes the numerical Fourier transform of a spherically symetric function in 3-dimensions, often called the Hankel transform.

Spectral Integration and Differentiation Algorithms. Includes FFTs, Chebyshev Transforms, and Hankel transforms. Exponential time differencing and integrating factor Runge-Kutta methods.

Using ANN to decompose waves into different bases (wave functions) with ease of choice.

Bachelor's final project