Fredrik Berntsson
Department of Mathematics, Linköping University.
 
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Welcome!

Welcome to my homepage at the Department of Mathematics at Linköping university. Here you can find information about the things that I am interested in.

Contact Information (top)

Email address: Fredrik.Berntsson@liu.se
Physical Mail address: Fredrik Berntsson,
Department of Mathematics, Linköping University,
581 83 Linköping, Sweden

Teaching activities (top)

Note that text in swedish suggests the course is only available for swedish speaking students.

725G45 - Datorteknik för Systemvetare.
TDDC10 - Projektkurs för D-linjen. Här finns material som används för projektet 'Datautvinning - Identifiering av handskrivna siffror'.


Research Projects (top)

The sideways heat equation is a model of a situation where one wants to determine the temperature on the surface of a wall using interior measurements. This was one of the topics for my doctorate work. A brief description of the problem, as well as referenses and software tools, is available here.

Doctorate thesis (top)

During my thesis work I considered an ill-posed Cauchy problem for the heat equation, the Sideways heat equation, which is a model of a problem there one wants to determine the temperature on both sides of a thick wall, but there one side is inaccessible for measurements.
  • Doctorate thesis: Numerical Methods for Inverse Heat Conduction Problems, Dissertations, No. 723, Linköping, 2001.
    [pdf] [cover.jpg]
  • Licentiate thesis: Numerical Solution of an Inverse Heat Conduction Problem, LiU-TEK-LIC-1998:67, Linköping, 1998.
    [pdf]

Other activities (top)

Talk on Numerical Solution of Cauchy Problems for Ellitic Equations in "Rectangle-like" Geometries
Availble as: Paper [pdf] or Talk [pdf]



This page is maintained by Fredrik Berntsson Last modyfied: Wednesday, 01-Jul-2009 09:49:44 MEST