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FSF3567 Numerical Solutions of Differential Equations 7.5 credits

Information per course offering

Termin

Information for Spring 2024 Start 16 Jan 2024 programme students

Course location

KTH Campus

Duration
16 Jan 2024 - 3 Jun 2024
Periods
P3 (3.7 hp), P4 (3.8 hp)
Pace of study

25%

Application code

60862

Form of study

Normal Daytime

Language of instruction

English

Course memo
Course memo is not published
Number of places

Places are not limited

Target group

PhD students only.

Planned modular schedule
[object Object]
Schedule
Schedule is not published
Part of programme
No information inserted

Contact

Examiner
No information inserted
Course coordinator
No information inserted
Teachers
No information inserted
Contact

Anders Szepessy (szepessy@kth.se)

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus FSF3567 (Spring 2019–)
Headings with content from the Course syllabus FSF3567 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Numerical treatment of initial value problems, boundary value problems and eigenvalue problems for ordinary and partial differential equations. The emphasis on different parts may vary from year to year. Relevant linear algebra, well-posedness, convergence, stability, error estimates, finite differences, finite elements, finite volumes, method of lines, modern iterative methods, problems with shocks. Computer labs and application oriented projects.

Intended learning outcomes

The course gives the students knowledge of problem classes, basic mathematical and numerical concepts and properties, modern numerical methods, and software for solution of engineering and scientific problems formulated as differential equations.

After successful completion of course requirements the students will be able to

  • design, implement and use numerical methods for computer solution of scientific problems involving differential equations;

  • follow specialized and application-oriented technical literature in the area;

  • understand properties of different classes of differential equations and their impact on solutions and proper numerical methods;

  • use commercial software with understanding of fundamental methods, properties, and limitations

Literature and preparations

Specific prerequisites

A Master degree including 45 university credits in Mathematics or Information Technology. English B, or equivalent.

Recommended prerequisites

Equivalent to SF2520/DN2221/DN2222 Applied Numerical Methods.

Equipment

No information inserted

Literature

To be announced at least 4 weeks before course start at course web page.

Examination and completion

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

Grading scale

G

Examination

  • LAB1 - Laboratory work, 3.5 credits, grading scale: P, F
  • TEN1 - Written exam, 4.0 credits, grading scale: P, 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.

  • Laboratory Task

  • Examination

Other requirements for final grade

Examination
Computer assignments
Project

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

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

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Contact

Anders Szepessy (szepessy@kth.se)

Postgraduate course

Postgraduate courses at SCI/Mathematics