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DN2225 Numerical Solutions of Differential Equations 6.0 credits

Administer About course

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus DN2225 (Spring 2009–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Numerical treatment of initial value problems, boundary value problems, and eigen-value problems for ordinary and partial differential equations. Discretization by finite differences, finite elements, and finite volumes. Convergence, stability and error analysis. Application oriented computer labs and a project.

Intended learning outcomes

An overlying goal with the course is to give the student knowledge about how to formulate, utilise, analyze and implement advanced computer oriented numerical methods for solving those differential equation problems that are of importance in applications.

After completing this course the student should be able to

  • for a given problem, identify problem type within the area of differential equations, ordinary and partial, and suggest an algorithm for the numerical solution
  • utilise and analyze the most important algorithms for the kind of problems presented in this course
  • utilise those algorithms from other areas of numerical analysis which are necessary for solving differential equations, e.g. large sparse linear systems of equations, Fourier analysis, etc
  • set up and explain some fundamental mathematical models in science which are based on differential equations
  • implement the algorithms i a programming language suitable for numerical computation, e.g. Matlab
  • utilise computer tools for simulation and visualization of differential equation models in science and engineering.

Literature and preparations

Specific prerequisites

No information inserted

Recommended prerequisites

Equivalent to one of the courses DN1212 or DN1240 Numerical Methods basic course.

Equipment

No information inserted

Literature

L. Edsberg "Introduction to Computation and Modeling for Differential Equations", Wiley 2008.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

  • LAB1 - Laboratory Task and Project Work, 3.0 credits, grading scale: P, F
  • TEN1 - Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

Examination (TEN1; 3 university credits).
Computer assignments and project work (LAB1; 3 university credits).

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Profile picture Hans Lennart Edsberg

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

SCI/Mathematics

Main field of study

Mathematics

Education cycle

Second cycle

Add-on studies

2D1255/DN2255 Numerical Solutions of Differential Equations, 2D1260/DN2260 The Finite Element Method.

Contact

Lennart Edsberg, tel: 790 8119, e-post:edsberg@nada.kth.se

Supplementary information

The course replaces 2D1225.

This course can be counted in the degree even if the student has taken 2D1255/DN2255.

In this course all the regulations of the code of honor at the School of Computer science and Communication apply, see: http://www.kth.se/csc/student/hederskodex/1.17237?l=en_UK.