For my personal study of simple real/complex Fourier methods and their application to various systems.

Open source pulsar search and analysis toolkit

Spectral Methods in Python

High-performance 2D incompressible Navier-Stokes solvers: Newton-Raphson finite difference and Fourier spectral methods with adaptive time stepping, convergence analysis, and turbulence diagnostics

A simple nonlinear Schrödinger solver in Rust

This project builds a fast, intelligent calibration engine for advanced asset pricing models. Standard Black-Scholes breaks down under real markets with fat tails and jumps, but Lévy models (Variance Gamma, CGMY) are too slow and unstable to calibrate with classical methods.

Python library for fast time-series analysis on CUDA GPUs

Simple Gross-Pitaevskii Equation solver using FFTW

Interactive wave explorer with visual and audio controls - educational app for learning wave fundamentals through direct manipulation

Spectral methods in matlab

A collection of notebooks on strategies to accurately interpolate discontinuous and non-periodic data on a uniform grid.

MambaEP: Efficient Spatio-Temporal Forecasting with Mamba Block and Fourier-Enhanced Temporal Modeling

Library for numerically solving the Gross-Pitaevskii equations for scalar, two-component, spin-1, and spin-2 Bose-Einstein condensate systems.

1D, super-resolution brightness profile reconstruction for interferometric sources

Implementation of PSWF-Radon approach in Octave/Matlab

Implementation codes for NeurIPS23 paper "Spectral Invariant Learning for Dynamic Graphs under Distribution Shifts"

Python Implementation of Aperiodic Fourier Modal Method for solving Maxwell equations.

PDE solver focused on Navier-Stokes (and related) equations with arbitrary boundary conditions, employing Fourier (FC-Gram) expansions. Parallelized using MPI-OpenMP-CUDA.

"A collection of projects related to mathematical computations."