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FSF3582 Inverse Problems 7.5 credits

Prerequisites: undergraduate differential equations, functional analysis and numerics

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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. 

Course disposition

Lectures and seminars

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).

Recommended prerequisites

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  • (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



  • 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

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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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 FSF3582

Offered by

Main field of study

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

Education cycle

Third cycle

Add-on studies

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Anders Szepessy (

Postgraduate course

Postgraduate courses at SCI/Mathematics