Introduction to Scientific Computing

Lecturer Dr. Joachim Rang


Assistant Dr. Alexander Litvinenko


Schedule Lecture: Wed 11:30-13:00 Uhr in room RZ 012 (IT-Center)



Exercises: Fri 10:30-11:15 Uhr in room RZ 012 (IT-Center)


Start First week of the semester


Prerequisites Basic courses up to the intermediate diploma


Target group Students of computer science, mathematics, natural or engineering sciences or guest students in their advanced study period, CSE students


Certificates Homework assignments and active participation in the exercises, exam


Office hours office RZ-120, every Thu. 9:30-11:00.


Exam Room RZ-012, 16.2.2011, 13:00-14:30 o'clock

To download books and papers here: http://www.biblio.tu-bs.de/semapp/, click on "Prof. Hermann G. Matthies > Introduction to scientific computing (ODE1)" and then on the corresponding buttons "Volltext anzeigen"

• Example: how to solve a difference equation Download.

• Exercise 1 WARM-UP (please submit the solution until 10:29, Nov. 5, 2010). And some hints here. To download the script about condition number (in German) click here.
• Exercise 2 Solving Difference Equation (please submit the solution until 10.29, Nov. 12, 2010).
• Exercise 3 Solving Difference Equation (please submit the solution until 10.29, Nov. 19, 2010).
• Exercise 4 Fixed points and stability (please submit the solution until 10.29, Nov. 26, 2010).
• Exercise 5 Fixed-Point Iterations and Modified Newton-Methods (please submit the solution until 10.29, Dec. 3, 2010). To download the solution click here.
• Exercise 6 Iterative methods (please submit the solution until 10.29, Dec. 10, 2010).
• Exercise 7 ODEs, fixed points, stability (please submit the solution until 10.29, Dec. 17, 2010).
• Exercise 8 Numerical Integration (please submit the solution until 10.29, Jan. 7, 2011).
• Exercise 9 Solving ODEs I (please submit the solution until 10.29, Jan. 14, 2011).
• Exercise 10 Multistep methods, Runge-Kutta methods (please submit the solution until 10.29, Jan. 21, 2011) Matlab Solutions is here.
• Exercise 11 Runge-Kutta methods (please submit the solution until 10.29, Jan. 28, 2011).
• Exercise 12 Runge-Kutta methods (please submit the solution until 10.29, Feb. 4, 2011).

Literature

• A script for the lecture is available here: PDF
• A very good introductory book is "Scientific computing: an introductory survey" by Michael T. Heath which is available in the "Lehrbuchsammlung" of the University-Library