Open Source Optimization of Dynamic Multidisciplinary Systems

This project solves linear-quadratic dynamic optimization (LQDO) problems using direct transcription (DT) and quadratic programming (QP)

The tools for proper interactions between ApproxFun.jl and DifferentialEquations.jl for pseudospectiral partial differential equation discretizations in scientific machine learning (SciML)

A python package for Gaussian wave packet dynamics

This repository provides code solving the 2D Incompressible Navier-Stokes equations numerically

A GPU-accelerated pseudo-spectral solver for direct numerical simulation of the 3D incompressible Navier–Stokes equations, written in JAX.

Optimal control with GAMS

pseudospectral (fourier) solutions of a few 1-dimensional PDEs

Solving boundary value problem (BVP) using Legendre Gauss Lobatto (LGL) collocation

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

Assignment codes from my Non -linear PDE course in ICTS TIFR

C++20 pseudo-spectral Gross-Pitaevskii solver for BECs and nonlinear optics with OpenMP, MPI, and CUDA backends.

Fourier and Chebyshev pseudospectral methods in MATLAB, compared with finite differences and P1 finite elements (Warwick MA395 essay)

AI-assisted Navier-Stokes numerical experiments, verification tooling, and lessons from an ambitious exploration. Not a Millennium Prize solution.

C++20 pseudo-spectral solver for 2D Navier-Stokes turbulence with OpenMP, MPI, and CUDA backends.

Serial C++ pseudospectral code for solving the 1D Schrödinger-Helmholtz/nonlinear Schrödinger equation