Week Theme Date Lecture hall
Topic Scott Greenbaum & Chartier
17 Preliminaries; Solution of Non-Linear Equations Tue 23.4.
Thu 25.4.		 U1
Tue: Floating-Point Arithmetic, Rounding
Thu: Condition number, Stability, Numerical Differentiation		 Chapter 18: Floating Point
 Chapter 5: Floating-Point Arithmetic
Chapter 6: Conditioning of Problems; Stability of Algorithms
18 Interpolation Tue 30.4.
Thu 2.5.		 U1Tue: Convergence rate, Solution of Non-Linear Equations: Bisection, Banach's fixed point theorem
Thu: Secant Method, Lagrange Interpolation		 Chapter 10: Polynomial Interpolation Chapter 4: Solution of a Single Nonlinear Equation in One Unknown
Chapter 8 Polynomial and Piecewise Polynomial Interpolation
19 Piecewise Interpolation Tue 7.5.
Wed 8.5.		 U1Tue: Newton Interpolation, Divided Differences, Interpolation Error
Thu: Hermite Interpolation, Splines
 Chapter 10: Polynomial Interpolation Chapter 8 Polynomial and Piecewise Polynomial Interpolation
20
 Bézier Curves, Numerical Integration Tue 14.5.
Thu 16.5.		 Zoom
(online)		Mon: Bézier Curves
Tue: Monte Carlo, Newton-Cotes, Gauss Quadrature I		 Chapter 13: Numerical Quadrature Chapter 3 Monte Carlo Methods
Chapter 10 Numerical Integration
21 Initial Value Problems Tue 21.5.
Thu 23.5.		 U1 
Tue: Gauss Quadrature II, Buffon's needle
Thu: Euler's Method I		Chapter 13: Numerical Quadrature
Chapter 16: Ordinary Differential Equations		 Chapter 10 Numerical Integration
Chapter 11: Numerical Solution of the Initial Value Problem for ODEs
 22  Wrap-up Tue
28.5.
Thu
30.5.
 Y313, U1Tue: Euler's Method II, Linear Multistep Methods
Thu: Gradient Descent (Machine Learning), Q&A, Discussion and Hints for the Learning Diaries
 Chapter 16: Ordinary Differential Equations Chapter 11: Numerical Solution of the Initial Value Problem for ODEs
Last modified: Monday, 20 May 2024, 11:31 AM