FIT3139 — Intro to Computational Science

Summary Notes by Carlos Melegrito

This collection of semi-organised writings is everything I've noted down during the entire semester. Not only will it serve as my revision notes for my exam, but also for reference in the future. Note that a lot of this content stems from Monash University, but most of these writings are of my own.

If you see an issue, just submit one or contact me from my website. To use these summary notes, just click any of the links in the contents below.

Contents

Introduction

• Scientific Modelling
• Errors and Approximation
• Computer Arithmetic

Data Modelling & Analysis

• Linear Equation Systems
• Eigenvalues & Eigenvectors
• Non-Linear Equations
• Dynamical Systems
• Differential Equations
• First-Order Ordinary Differential Equations
• Stochastic Systems

Techniques & Strategies

• Dynamic Programing
• Linear Programming
• Simulated Annealing
• Genetic Algorithms
• High-Dimensional Data Analysis