Density Functional Theory with plane waves basis, applied on a 'quantum dot'. Volumetric visualization of orbitals with VTK

Solving Poisson equation using a spectral method, also introducing VTK which will probably be used for other projects

An optimized Relativistic code for ADM/BSSN 3+1 decomposition, Analytical computes and Geodesics tracer over a Kerr/schwarzschild and kdS/adS metrics (using AVX2 and AVX512 intrinsics, tested on different configurations like Intel Xeon Phi Knight Landing)

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

Applies spectral filters to images, emphasizing and deemphasizing structures at different length scales.

Numerical approximation of excited state wavefunctions and energies using supersymmetry.

Implements the continuous Galerkin spectral element method to solve the Schrödinger equation