Activity

Week Dates Theme Cheney & Kincaid Extra Material
2 11.01, 12.01 Introduction to Programming A.1 Programming in Python Linear Algebra in Python
3 18.01, 19.01 Scalar Equations: Bisection, Newton, Fixed Point Iterations, Floating Point System 3.1, 3.2, 2.1 Numerical Solution of Scalar Equations
4 25.01, 26.01 Interpolation: Polynomial Interpolation, Divided Differences, , 4.1, 4.2, 4.3 Interpolasjon (no)
5 01.02, 02.02 Interpolation: Neville's Algorithm, Richardson Extrapolation 4.1, 4.2, 4.3
6 08.02, 09.02 Linear Systems: Gaussian elimination, Condition number 7.1, 7.2, 8.2 (to condition number)
7 14.02, 15.02 Iterative Methods (Jacobi, Gauss-Seidel and SOR) 8.2, 8.3
8 21.02, 22.02 Least Squares (QR Decomposition), Eigenvalues 12.1, 12.2
9 28.02, 01.03 No Lecture; Work on Project
10 07.03, 08.03 Numerical Integration (Legendre Polynomials, Gauss Points) 5, 6
11 14.03, 15.03 Solving ODE (Explicit Euler, Implicit Euler, Runge-Kutta Methods) 10
12 21.03, 21.03 Solving ODE (Multistep Methods) 11
13 28.03, 29.03 Splines (Natural Cubic Splines, 9
14 04.04, 05.04 PDE (Finite Element Method for Laplace Equation, Stability Analysis for Advection Equation, Upwind Scheme) 15
15 11.04, 12.04 Revisions
2011-05-05, Olivier Philippe Paul Verdier