This course has been discontinued.
Last planned examination: Spring 2017
Decision to discontinue this course: No information inserted

An advanced course in modern numerical methods with emphasis on linear and nonlinear systems of partial differential equations.
Course offering missing
Course offering missing for current semester as well as for previous and coming semestersContent 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
Course Disposition
No information inserted
Literature and preparations
Specific prerequisites
Single course students: 90 university credits including 45 university credits in Mathematics or Information Technology. English B, or equivalent.
Recommended prerequisites
Equivalent to DN2221 Applied Numerical Methods, part 1 and DN2222 Applied Numerical Methods, part 2.
Equipment
No information inserted
Literature
To be announced at least 4 weeks before course starts at course home page. Previous year: R. Le Veque: Finite Volume Methods for Hyperbolic Problems.
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, 3,0 hp, betygsskala: P, F
- LAB2 - Project, 1,5 hp, betygsskala: A, B, C, D, E, FX, F
- TEN1 - Examination, 3,0 hp, betygsskala: 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 at the School of Computer science and Communication apply, see: http://www.kth.se/csc/student/hederskodex/1.17237?l=en_UK.
Other requirements for final grade
Examination (TEN1; 3 university credits).
Computer assignments (LAB1; 3 university credits).
Project (LAB2; 1,5 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
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 web
Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web DN2255Offered by
Main field of study
Mathematics
Education cycle
Second cycle
Add-on studies
No information inserted
Contact
Patrick Henning (pathe@kth.se)
Supplementary information
This course can be counted in the degree even if the student has taken 2D1225/DN225.