Seminar Series in Mathematics and its Applications
Division of Mathematics, Luleå University of
Technology, Sweden
The Past Talks since November 2, 2016:

Speaker: John Fabricius, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, November 2, 2016
Place: E243
Title: On the Role of Functional Analysis in Continuum Mechanics
Abstract:
The theory of Hilbert spaces has a wide range of applications in
science and technology. In this talk we will focus on functional
analysis as a tool for analyzing boundary value problems in
continuum mechanics. Some topics that will be discussed are
definitions of weak (or generalized) solutions, variational
formulations, existence and uniqueness of solutions, continuous
dependence of solutions on boundary data, eigenvalue problems
and numerical methods for computing approximative solutions.
The slides of the talk.
Some Matlab examples.

Speaker: Per Bergström, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, November 23, 2016
Place: E243
Title: Shape Inspection by Vision in Production
Abstract:
Analysis of shape data from an optical measurement method will be discussed. The shape of a
measured object is to be compared to its nominal shape defined by a CADmodel. The measured
object is moving on a conveyer belt and is arbitrarily oriented. Using optical shape measurement
methods the background is measured as well and measurement errors are considerable.
A computational method for doing the shape analysis fast and robust from given shape data will be described.
The slides of the talk.

Speaker: Gunnar Söderbacka, Åbo Akademi, Finland
Date and Time: Wednesday 15:00, December 7, 2016
Place: A1545
Title: Dynamical Systems: Ecological Modeling
Abstract:
Ecological modeling is becoming increasingly more important for modern engineers.
The mathematical language of
dynamical systems has
been applied by engineering since ancient times.
In this seminar we introduce and discuss some main methods for studying
dynamical systems, in particular for the analysis
of nonlinear systems of predators and preys. We show how
important results can be obtained by simple
methods that are based on elementary mathematics.
Most models of predators and preys indicate cycles
where populations are becomming unrealisticly small. We point out that Deterministic
Models are heavily criticised, e.g. amongst
Swedish specialists in stochastics. On the other hand, subarctic biologists
confirm that predators are
not behaving stochasticly, but rather switching feeding between species.
This leads to dynamical
systems with switches, also well known in other engineering
applications. To conclude, we will also mention some challenging open problems in this subject.
The slides of the talk.
Note:
2018 is the "Year of Mathematical Biology"
as announced by the European Mathematical Society.

Speaker: Inge Söderkvist, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 11 January 2017
Place: E246
Title: LeastSquares Fitting of Model Parameters to Experimental Data
Abstract: We will consider computational methods for fitting parameters to experimental
data using the leastsquares criteria. Linear, nonlinear, and separable problems will be
considered. The methods covered range from basic techniques, taught in undergraduate courses,
to techniques which are close to the state of the art in research and which often are adapted
to specific problems.
Special attention is given to the problem of determining a movement of a rigid body given
3Dpositions of some landmarks.
The slides of the talk.
The Schedule of the Current Seminars are posted
HERE
Preliminary Details of Future Seminars are posted
HERE
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