Rigid Body Motion

Mar 14 2026 Computer Graphics Practice Physical Based Animation variational principle C++

Simulate rigid body torus' motion and contact with a flat plane. Read More

Cloth Simulation

Feb 26 2026 Computer Graphics Practice Physical Based Animation variational principle Finite Element Method C++

Use finite element (triangle) method to implement membrane object simulation with basic collision detection. Read More

Finite Element Method

Feb 12 2026 Computer Graphics Practice Physical Based Animation variational principle Finite Element Method C++

Use finite element (tetrahedron) method to implement deformable objects. Read More

Mass Spring Systems

Jan 15 2026 Computer Graphics Practice Physical Based Animation variational principle C++

Use variational mechanics and time integration methods to implement 1D and 3D mass string systems. Read More

The Second Kind Bessel Function

Dec 21 2023 Physics TA Project C++ Python Mathematica Numerical Integration

Computed Bessel functions of the second kind \(Y_m(x)\) using upward recursion, with starting values derived via analytical identities and numerical integration. Verified results by plotting \(Y_m(x)\) for various orders over the range \(0 < x < 50\). Read More

Acceptance-Rejection Distribution Generator

Dec 14 2023 Physics TA Project C++ Python Stochastic Method

Used the acceptance-rejection method to generate samples from custom continuous and discrete distributions, including binomial and Poisson. Verified accuracy through histogram comparisons with analytical formulas. Read More

Korteweg de Vries Equation

Nov 14 2023 Physics TA Project C++ Python Wave Numerical Simulation Partial Differential Equation

Simulated soliton waves using the Korteweg–de Vries (KdV) equation to explore how different explicit and implicit time-stepping methods affect accuracy and stability. Read More

Simple Digital Filter – Frequency Domain Analysis

Nov 07 2023 Physics TA Project C++ Python Data Analysis Fourier Transform

This project applies Fourier transform to analyze a composite sine wave signal and demonstrates how simple equations can function as digital filters. Both low-pass and high-pass filters are applied and visualized in the frequency domain. Read More

Finite Square Well

Oct 30 2023 Physics TA Project C++ Python Quantum Mechanics Solving Systems of Equations

This project applies Newton's method to solve the transcendental eigenvalue equations of a finite potential square well in quantum mechanics. It numerically estimates bound-state energy levels, using initial guesses derived from the infinite square well solution. Read More

Rutherford Scattering

Oct 14 2023 Physics TA Project C++ Python Classical Mechanics Numerical Simulation Ordinary Differential Equation

A numerical simulation of Rutherford scattering using the adaptive Runge-Kutta method to model the Coulomb interaction between an alpha particle and a gold nucleus. Read More