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SF2521 Numerical Solutions of Differential Equations 7.5 credits

An advanced course in modern numerical methods with emphasis on linear and nonlinear systems of partial differential equations.

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

60265

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

Elective for all programmes as long as it can be included in your programme.

Planned modular schedule
[object Object]

Contact

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

Anna-Karin Tornberg (akto@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 SF2521 (Spring 2022–)
Headings with content from the Course syllabus SF2521 (Spring 2022–) 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 completing the course the students shall 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;
  • describe 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

  • English B / English 6
  • Completed basic course in numerical analysis (SF1544, SF1545 or equivalent) and
  • Completed basic course in differential equations (SF1633, SF1683 or equivalent).

Recommended prerequisites

SF2520 Applied Numerical Methods (or corresponding), can be read in parallel.

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

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

Examination

  • LABA - Laboratory Task, 1.5 credits, grading scale: P, F
  • LABB - Laboratory Task, 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.

In this course all the regulations of the code of honor, see: http://www.sci.kth.se/institutioner/math/avd/na/utbildning/hederskodex-for-studenter-och-larare-vid-kurser-pa-avdelningen-for-numerisk-analys-1.357185

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

Mathematics, Technology

Education cycle

Second cycle

Add-on studies

No information inserted

Contact

Anna-Karin Tornberg (akto@kth.se)