TMA4212 - Numerical Solution of Differential Equations by Difference Methods

About

Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 60/100 4 hours C
Work 40/100

Course content

Difference schemes for different types of partial differential equations. Analysis of consistency, order, stability and convergence. Solution of linear systems by iterative methods and preconditioning. Finite element method.

Learning outcome

1. Knowledge. The student understands the basic theory underlying the numerical solution of partial differential equations. The student masters error analysis of difference methods, and understands the concepts consistency, stability and convergence. The student has a basic understanding of the finite element method and iterative solution techniques for systems of equations.


2. Skills. The student is able to choose suitable methods for elliptic, parabolic and hyperbolic partial differential equations. The student is able to set up, implement and analyze discretization methods for selected partial differential equations. The student is able to design numerical experiments serving the purpose to verify if a PDE-solver is implemented correctly. The student is able to choose and apply suitable iterative methods for equation solving.

3. General competence. The student masters written and oral presentation of scientific problems and of the results obtained in the project work. The student is able to apply aquired mathematical knowledge in linear algebra and calculus to achieve the other goals of the course.

Learning methods and activities

Lectures, exercises seminars and/or poster-presentations. The exercises require the use of a computer. Portfolio assessment is the basis for the mark given in the course. This portfolio comprises a written final examination (60%) and a term project or selected exercises (40%). The results for the constituent parts are to be given in %-points, while the mark for the whole portfolio (course mark) is given by the letter grading system. Retake may be organized in the form of oral exam. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students.

Compulsory assignments

  • Exersices

Specific conditions

Exam registration requires that class registration is approved in the same semester, or that compulsory activities are approved in a previous semester.

Course materials

Will be announced at the start of the course.

Timetable

Examination

Examination arrangement: Portfolio assessment

Term Evaluation form Weighting Examination aids Date Time Room *
Spring Work 40/100
Spring Written examination 60/100 C 2016-05-28 09:00 DI41 , DI42
Summer Work 40/100
Summer Written examination 60/100 C
* The location (room) for a written examination is published 3 days before examination date.
If more than one room is listed, you will find your room at Studentweb.