Fredrik Berntsson

Associate Professor, Docent

I am interested in computers, and software, as tools for mathematical computations, or for simulating physical processes. An important aspect is the mathematical analysis of computational methods with respect to stability and accuracy.

I am interested in using computers to perform computations or simulate physical systems. The areas I am interested in are linear algebra, functional analysis, and partial differential equations. In my research I mostly study problems from different application areas, including inverse heat conduction, image processing, and biomechanics. I also teach various courses in scientific computing, linear algebra, and programming.

Publications

2026

Jean Pierre Ngendahayo, Minani Froduald, Johan Thim, Fredrik Berntsson (2026) RESEARCH IN MATHEMATICS, Vol. 13, Article 2670816 (Article in journal)

2025

J. P. Ngendahayo, F. Minani, Johan Thim, Fredrik Berntsson (2025) International Journal of Applied and Computational Mathematics, Vol. 11, Article 149 (Article in journal)

Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2025) Journal of Mathematical Analysis and Applications, Vol. 541, Article 128684 (Article in journal)

2024

Martin Deosborns, Henry Kasumba, Juma Kasozi, Fredrik Berntsson (2024) MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, Vol. 5, p. 85-184 (Article in journal)

Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2024) Computational Methods in Applied Mathematics, Vol. 24, p. 813-828 (Article in journal)

Research

Simulationsoftware ensures quality in steel production

Through a simulation program developed by researchers at MAI and SSAB can high quality steel be produced. The program ensures that the ironmaking ladles used during production are at the right temperature, which affects the quality of the steel.

Inverse and Ill-posed Problems

Inverse problems appear when looking for the cause of an observed effect. Difficulties include lack of uniqueness and instability with respect to errors in the observed data. Special mathematical techniques are used for solving such problems.

Human blood cells with one red cell in front.

Mathematical Modelling of the Blood Circulatory System

Mathematical models of the circulatory system can be used in order to better understand the system and so help diagnose blood-vascular diseases and other problems while also enabling planning for the treatment of these diseases.

Numerical Solutions of Time-Dependent Partial Differential Equations

Well-posedness of the governing partial differential equations lead to effective and accurate numerical methods for the analysis of physical processes in science and engineering.

Publications

2026

Jean Pierre Ngendahayo, Minani Froduald, Johan Thim, Fredrik Berntsson (2026) RESEARCH IN MATHEMATICS, Vol. 13, Article 2670816 (Article in journal)

2025

J. P. Ngendahayo, F. Minani, Johan Thim, Fredrik Berntsson (2025) International Journal of Applied and Computational Mathematics, Vol. 11, Article 149 (Article in journal)

Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2025) Journal of Mathematical Analysis and Applications, Vol. 541, Article 128684 (Article in journal)

2024

Martin Deosborns, Henry Kasumba, Juma Kasozi, Fredrik Berntsson (2024) MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, Vol. 5, p. 85-184 (Article in journal)

Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2024) Computational Methods in Applied Mathematics, Vol. 24, p. 813-828 (Article in journal)

2023

Jennifer Chepkorir, Fredrik Berntsson, Vladimir Kozlov (2023) Partial Differential Equations and Applications, Vol. 4, Article 50 (Article in journal)

Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2023) Journal of Inverse and Ill-Posed Problems, Vol. 31 (Article in journal)

Martin Deosborns Arop, Henry Kasumba, Juma Kasozi, Fredrik Berntsson (2023) MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, Vol. 4, p. 172-195 (Article in journal)

Fredrik Berntsson, Patrik Wikstr枚m (2023) International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 24, p. 406-416 (Article in journal)

2022

Mary Nanfuka, Fredrik Berntsson, John Mango (2022) Journal of Applied Mathematics and Computing, Vol. 68, p. 1335-1350 (Article in journal)

Organisation

Illustrative picture representing mathematics

Applied Mathematics (TIMA)

Applied mathematics is used to study advanced methods for modeling in technology as well as natural and social sciences. The division conducts research in computational mathematics, mathematical statistics and optimization.

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.

Studenthuset on Campus Valla in Link枚ping

About LiU

糖心网页版, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.

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