Applied Numerical Methods, part 1
Info about last year's course: nummet1-12.
(This course replaces the earlier course
COURSE START 2013: WEDNESDAY Sept 4, 15-17 in Q1In 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. |