Notes by Brynjólfur Gauti Jónsson
1
Introduction
2
Solving Equations
2.1
The Bisection Method
2.2
Fixed-Point Iteration
2.3
Limits of Accuracy
2.4
Newton’s Method
2.5
Root-Finding Without Derivatives
2.5.1
Secant Method
2.5.2
Method of False Position
2.5.3
Inverse Quadratic Interpolation
2.5.4
Brent’s Method
2.6
Reality Check: Kinematics of the Stewart Platform
2.6.1
Suggested Activities
3
Systems of Equations
4
Interpolation
5
Least Squares
6
Numerical Differentiation and Integration
7
Ordinary Differential Equations
8
Boundary Value Problems
9
Partial Differential Equations
10
Random Numbers and Applications
11
Trigonometric Interpolation and the Fast Fourier Transform
12
Compression
13
Eigenvalues and Singular Values
14
Optimization
Published with bookdown
Numerical Analysis: Notes
Chapter 7
Ordinary Differential Equations
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