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Introduction to Scientific Computing (AMATH 301)

Root-Finding and Optimization

Root Finding Algorithms
Unconstrained Optimization
Constrained Optimization
Curve Fitting and Interpolation

Linear Algebra

Vector and matrix operations
Solving Linear Systems with Direct Methods
Solving Linear Systems with Iterative Methods
Singular Value Decomposition

Numerical Calculus

Numerical Differentiation
Numerical Integration

Ordinary Differential Equations (ODEs)

Solving First-Order ODEs
Solving Higher-Order ODEs
Stability and Stiffness of ODEs
Chaotic Systems
Chaotic Systems 2

Phase Portrait Applications

Spring-Mass-Damper System
Linear and Nonlinear Pendulums
Two-Eyed Monster
Population Dynamics
Neuron Excitation Model 1
Neuron Excitation Model 2
Neuron Excitation Model 3
Coupled Harmonic Oscillator

Fourier Transform

Fourier Transform

Repository
Open issue

Index

By Teng-Jui Lin

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