Applied Numerical Methods, part 1

The course home page for autumn 2012 will be updated soon!
Participants of the course are recommended to look at it frequently!

Aktuell/nästa kursomgång: nummet1-12.

(This course replaces the earlier course
DN2225 "Numerical Methods for Differential Equations I")

COURSE START: Tuesday August 28 2012, 8-10 in D3, Lindstedtsvägen 5.

In the course you will do a lot of MATLAB-programming. If you feel that you need a refresher
or short course in MATLAB there is an introductory course STARTING AUGUST 23, at 10-12
in room 4523. The course is organized as a webb-course and the lecture Aug 23 is an introduction
to the material. A second and final meeting is planned to Friday August 31, 10-12 in room 4523.


In science and engineering, differential equations are the most common mathematical model used.
Newton's second law and the heat equation are just two examples, one of an ordinary differential equation (ODE)
the other of a partial differential equation (PDE).

This course is designed for for KTH- and SU-students participating in various Master programs and CivIng-programs.
PhD students are also welcome! The course gives an insight into computational treatment of differential
equation models in Science and Engineering, also known as Scientific Computing.

The students are expected to have a solid mathematical background in calculus, linear algebra and differential equations.
A basic course in numerical methods, such as DN1212 or DN1240 given at KTH is required as well as familiarity with MATLAB.

The course treats 1) an overview of mathematical modeling in science and engineering, 2) repetition of important
concepts and results from analytical treatment of differential equations, 3) numerical methods for ODEs and PDEs
with finite difference methods and, to some extent, finite element methods, 4) introduction into numerical
treatment of large linear systems of equations with direct and iterative methods, 5) practical use of the
computer system Comsol Multiphysics.

The course consists of lectures, labs, one project and a written exam. The course material (lectures and labs) is covered by the
textbook "Introduction to computation and modeling for Differential equations" Wiley's 2008. TEXTBOOK

The second part DN2222 Applied Numerical Methods, part 2, 3 credits (hp, ECTS) covers Numerical Algebra, and is given in
period 2, autumn 2009. This course cannot be taken separately, but only together with DN2221.