Photo of Fredrik Berntsson

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.

Link to my profile at ResearchGate

Publications

2023

Jennifer Chepkorir, Fredrik Berntsson, Vladimir Kozlov (2023) Solving stationary inverse heat conduction in a thin plate Partial Differential Equations and Applications, Vol. 4 Continue to DOI
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2023) Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain Journal of Inverse and Ill-Posed Problems Continue to DOI
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2023) Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment Computational Methods in Applied Mathematics Continue to DOI
Martin Deosborns Arop, Henry Kasumba, Juma Kasozi, Fredrik Berntsson (2023) Optimal Actuator Placement for Control of Vibrations Induced by Pedestrian-Bridge Interactions MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, Vol. 4, p. 172-195 Continue to DOI
Fredrik Berntsson, Patrik Wikstrom (2023) Thermal tracking of a ladle during production cycles International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 24, p. 406-416 Continue to DOI

Research

Publications

2023

Jennifer Chepkorir, Fredrik Berntsson, Vladimir Kozlov (2023) Solving stationary inverse heat conduction in a thin plate Partial Differential Equations and Applications, Vol. 4 Continue to DOI
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2023) Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain Journal of Inverse and Ill-Posed Problems Continue to DOI
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2023) Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment Computational Methods in Applied Mathematics Continue to DOI
Martin Deosborns Arop, Henry Kasumba, Juma Kasozi, Fredrik Berntsson (2023) Optimal Actuator Placement for Control of Vibrations Induced by Pedestrian-Bridge Interactions MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, Vol. 4, p. 172-195 Continue to DOI
Fredrik Berntsson, Patrik Wikstrom (2023) Thermal tracking of a ladle during production cycles International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 24, p. 406-416 Continue to DOI

2022

Mary Nanfuka, Fredrik Berntsson, John Mango (2022) Solving the Cauchy problem for the Helmholtz equation using cubic smoothing splines Journal of Applied Mathematics and Computing, Vol. 68, p. 1335-1350 Continue to DOI
Mary Nanfuka, Fredrik Berntsson, Godwin Kakuba (2022) Solving a Cauchy problem for the heat equation using cubic smoothing splines Applicable Analysis, Vol. 101, p. 4882-4897 Continue to DOI

2021

Fredrik Berntsson, Chepkorir Chepkorir, Vladimir Kozlov (2021) Accelerated Dirichlet-Robin alternating algorithms for solving the Cauchy problem for the Helmholtz equation IMA Journal of Applied Mathematics, Vol. 86, p. 1181-1203 Continue to DOI
Jean Pierre Ngendahayo, Japhet Niyobuhungiro, Fredrik Berntsson (2021) Estimation of surface temperatures from interior measurements using Tikhonov regularization Results in Applied Mathematics, Vol. 9, Article 100140 Continue to DOI
Godwin Kakuba, Fredrik Berntsson, Vladimir Kozlov (2021) An algorithm for computing a stationary flow in a binary bifurcation tree Applied Numerical Mathematics, Vol. 159, p. 125-137 Continue to DOI

Organisation