Homeworks

There will be five homework sets. You are encouraged to work in groups of two.

For each homework set a written report of good quality should be handed in no later than the given deadline. Add your Matlab code as an appendix to the report. The homework is graded and each set gives a maximum of 3-5 points, in total at most 20 points for all five sets. A homework problem is considered as "solved" if at least half of the maximum points are obtained after grading. Note that there are NO possibilities to hand in any corrections after the grading.

The homeworks will be posted here during the course.

Homework 1: Numerical treatment of the heat equation. Deadline Mon. 9 Feb. 2014. Check the Demmel notes for more about the matrix relation in 2.3 and the Kronecker products in 2.4. For the convergence parts, check the notes on numerical convergence.
Homework 2: Linear and non-linear hyperbolic systems. Deadline Fri. 6 March, 2015. Reading in Leveque: Chaps. 2.7, 4-4.6, 7, 7.3.3, 13.1
Homework 3: Stability and other properties of numerical schemes. Deadline Mon. 30 March, 2015. Reading: Lecture notes 4, Leveque: Chap. 8.
Homework 4: High resolution shock-capturing methods for shallow water equatios. Deadline Mon. May 25, 2015. Reading in LeVeque, primarily Chaps. 6 and 15.3-4 plus background in Chaps. 11, 4.10-14, 12-12.1, 13.
Homework 5: FDTD for Maxwell equations. Deadline Mon. May 25, 2015. Reading in lecture notes by J. Oppelstrup and "Computational Electromagnetics" by Bondesson, Rylander and Ingelström. Available as an e-book through the KTH library. The Matlab-program for the second part of the homework: ftdt2d.m

Report

The reports should be clearly written and easy to read for the grader. For plots in your report, make sure you

label axes correctly
explain what the plots show
combine plots so that comparisons are easy.

MERE SHEAVES OF MATLAB PLOTS, ONE TO A PAGE, WILL NOT BE ACCEPTED.

Here are some additional guidelines how a report should be prepared.

How to hand in reports

Reports MUST have a cover page with author names, course code (DN2255) and homework number, and instructor name. The reports can be handed in by

e-mailing a link to Katarina where your or pdf-files can be downloaded, or
e-mailing Katarina that a paper version has been deposited in the mailbox utside the student expedition at Mathematics, Lindstedtsvägen 25, entrance floor.

Obs! Please do not email your full reports! This will rapidly fill up my mailbox.