The course covers numerical treatment of inital value problems and boundary value problems for partial differential equations, including finite element methods and finite volume methods. The focus of the course is specifically on the theoretical and computational understanding of methods based on a weak formulation for linear elliptic, parabolic, and hyperbolic partial differential equations, as well as time discretizations. The course also addresses non-linear hyperbolic partial differential equations and stabilization. The emphasis on different aspects may vary from year to year. The course includes computerlabs and projects with various applications.
SF2528 Numerical Methods for Differential Equations II 7.5 credits
An advanced course on modern numerical methods for partial differential equations.
Information per course offering
Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.
Information for Spring 2025 Start 14 Jan 2025 programme students
- Course location
KTH Campus
- Duration
- 14 Jan 2025 - 2 Jun 2025
- Periods
- P3 (3.5 hp), P4 (4.0 hp)
- Pace of study
25%
- Application code
61636
- 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
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- Schedule
Contact
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus SF2528 (Autumn 2024–)Headings with content from the Course syllabus SF2528 (Autumn 2024–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
After completing the course, the student shall be able to:
- explain key concepts and fundamental ideas within numerical methods covered in the course, and be able to describe the advantages and limitations of the methods.
- apply and implement the numerical methods covered in the course to solve specific problems involving partial differential equations
- analyze the well-posedness of certain partial differential equations and estimate errors for the methods covered in the course
Literature and preparations
Specific prerequisites
English B / English 6
Completed basic course in numerical analysis (SF1550, SF1544, SF1545 or equivalent)
Completed basic course in differential equations (SF1692, SF1633, SF1683 or equivalent)
Literature
You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.
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 assignments, 2.0 credits, grading scale: P, F
- LABB - Laboratory assignments, 2.0 credits, grading scale: P, F
- TEN1 - Written exam, 3.5 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.
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