FSF3582 Inverse Problems 7.5 credits

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. 

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

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

• (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.

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

• 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

Home assignments completed
Written exam completed

Anders Szepessy

• 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.