Source files of the course "Mathematics for Macroeconomics"

Notes on Diffy Qs, a textbook for differential equations

A Review of Sensitivity Methods for Differential Equations

Spherical Harmonics expository paper (undergrad) and implementation.

微分方程数值解作业

Course notes from several math and computer science courses from CUNY Queens College.

Library for common tools for solving PDEs with finite difference methods (FDM), finite volume methods (FVM), finite element methods (FEM), and psuedospectral methods in a way that integrates with the SciML Scientific Mechine Learning ecosystem

Well posedness

KNU course on differential equations

Differential Equations Book for MATH7205

Open research project on polynomial interpolation and approximation

Thesis for the Computational Science Master's program at Central Washington University. 3D extension of an analog of cosmological particle creation in a Friedmann-Robertson-Walker universe by numerically simulating a Bose-Einstein condensate with a time-dependent scattering length.

Modelling with Differential and Difference Equations - Textbook

Numerical Methods and their Implementation using Python.

My master thesis on the modelling of filter cake formation in filtration processes, involving computational fluid dynamics to describe the liquid in the system and an agent-based model to describe the movement of the dispersed particles

Bachelor project: "Stability of linear dynamical systems and application to Lotka-Volterra equations and epidemiology"

Effects of Overfishing on Coral Reef Ecosystems

This is the LaTeX and Python files for my IB Extended Essay on "Exploring the Efficacy of Fourier Analysis in Solving Ordinary and Partial Differential Equations."

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as change tends to zero. In particular, for polynomials the function's change is calculated via Binomial expansion.