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FSF3582 Inverse Problems 7.5 credits

Information per course offering

Termin

Information for Autumn 2025 Start 25 Aug 2025 programme students

Course location

KTH Campus

Duration
25 Aug 2025 - 24 Oct 2025
Periods
P1 (7.5 hp)
Pace of study

50%

Application code

50554

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

Course syllabus as PDF

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

Course syllabus FSF3582 (Spring 2019–)
Headings with content from the Course syllabus FSF3582 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Some topics: ill-posed problems and their numerical solution by regularization methods, regularization of linear problems, Tikhonov regularization, regularization of non linear problems. 

Some applications: differentation as an invers problem, X-ray tomography, data-assimilation for weather and climate prediction, inverse scattering, optimal design, image processing, parameter identification. 

Intended learning outcomes

After the course the students are expected to understand basic mathematical and numerical methods to solve inverse problems related to partial differential equations. 

Literature and preparations

Specific prerequisites

A Master degree including at least 30 university credits (hp) in Mathematics (including differential equations, functional analysis and numerical analysis).

Literature

  • (Main course book) Heinz W. Engl, Martin Hanke, Andreas Neubauer, Regulation of Invers Problems, Kluwer Academic Publishers, 2000, ISBN 0-7923-6140-7 (paperback ~$40), 0-7923-4157-0 ( cloth ~$200);
  • Curtis R. Vogel, Computational Methods for Inverse Problems, the Society for Industrial and Applied Mathematics, 2002.

Examination and completion

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

Grading scale

G

Examination

  • INL1 - Assignment, 7.5 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.

Home assignments

Written exam

Other requirements for final grade

Home assignments completed
Written exam completed

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

Postgraduate course

Postgraduate courses at SCI/Mathematics