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 | | |