Seminar Series in Mathematics and its Applications
Division of Mathematics, Luleå University of
Technology, Sweden
Preliminary Details of Future Talks
Future Seminars in Alphabetical Order:

Speaker: Ove Edlund, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 8 March 2017
Place: E243
Title: To be announced
Abstract: To be announced

Speaker: Marianna Euler, Division of Mathematics, LTU
Date and Time: To be announced
Place: To be announced
Title: Integrating Factors and Conservaton Laws for Differential Equations
Abstract:
We describe a method by which it is possible to systematically construct integrating factors
and conserved quantities (conservation laws) for nonlinear differential equations
(both ordinary and partial differential equations). The method is based on symmetry analysis
and can, in principle, be applied to any differential equation or system of equations. Some examples
are given.

Speaker: Norbert Euler, Division of Mathematics, LTU
Date and Time: To be announced
Place: To be announced
Title: Symmetry Analysis of Differential Equations and Some of Its Applications
Abstract:
Lie point symmetries are coordinate transformations given by
continuous (local) Lie transformation groups that keep an object invariant.
These transformations were first introduced
and studied by the Norwegian mathematician Sophus Lie around 1888.
We'll discuss the application of such transformation groups and their corresponding Lie algebras
to differential equations.
These symmetries can be applied to reduce the order of ODEs and, in some cases,
even solve the ODE completely. For PDEs the symmetries reduce the dimensions of the PDE
which can lead to exact solutions. We give a smooth introduction to this subject for the non expert.
Some further applications will also be pointed out, as well as some recent developments connected with
the integrability of nonlinear PDEs.

Speaker: Adam Jonsson, Division of Mathematics, LTU
Date and Time: 22 March 2017
Place: To be announced
Title: An Application of Classical Analysis to Intertemporal Choice
Abstract:
Many problems of longterm management and control involve aggregating streams of payoffs or utilities
over an infinite horizon. For example, in computing the optimal replacement times for shortlived
technical equipment, it is often more natural to place the time horizon at infinity than to specify a
finite time horizon. The infinitehorizon model leads to difficulties however, as concepts like maximal
aggregate utility need to be replaced with new ones. In this talk I will discuss some normative and
computational aspects of these difficulties and illustrate how methods from classical analysis can be
used to partially resolve them.

Speaker: Daniel Kastinen, Department of Computer Science, Electrical and Space Engineering, LTU
Date and Time: Wednesday 15:00, 25 January 2017
Place: E246
Title: Meteors and Celestial Dynamics
Abstract:
The area of celestial dynamics has been and is ripe with applications of contemporary mathematics. However there has
been a distinct lack of formalism and applications of advanced methods in the more experimental areas of celestial
dynamics, such as meteor science. Thus we have developed a skeleton version of a new toolbox for statistical small
body dynamics in the Solar system. We will present the general idea and methods behind the software and its possible
applications. The celestial dynamics are handled by standard Hamiltonian splitting methods and common ODE solvers.
We also plan to implement stability analysis methods such as Lyapunov Indicators, Fast Lyapunov Indicators, and Mean
Exponential Growth factor of Nearby Orbits using the same solvers. Currently, the software is constructed to generate
clones of parent bodies drawn from multivariate probability distribution calculated from uncertainties in observational
parameters by Bayesian inversion theory. As we then sample the initial distributions in a MonteCarlo fashion we also
examine convergence and find both scenario configurations and their respective probability. We have used this to
examine the comet 21P/GiacobiniZinner and its generated meteoroid streams that produce the meteor showers on
Earth of the 1933, 1946, 2011, and 2012 October Draconids.

Speaker: Elena Miroshnikova, Division of Mathematics, LTU
Date and Time: Wednesday 15:00, 22 February 2017
Place: E243
Title: Conservation Laws as Consequences of Fundamental Properties of Space and Time
Abstract:
We derive conservation laws of energy, mass and momentum in both differential
and integral forms in the case of classical fluid mechanics.
We use the symmetry properties of reflection and translation in space and time
in the solid state case i.e., isotropy and homogeneity, to derive the conservation laws.

Speaker: Natasha Samko, Division of Mathematics, LTU
Date and Time: To be announced
Place: To be announced
Title: To be announced
Abstract: To be announced

Speaker: Thomas Strömberg, Division of Mathematics, LTU
Date and Time: To be announced
Place: To be announced
Title: To be announced
Abstract: To be announced

Speaker: Damiano Varagnolo, Automatic Control Lab, LTU
Date and Time: Wednesday 15:00, 8 February 2017
Place: E246
Title: Solving IllPosed Estimation Problems
through Regularization: A Brief Introduction with Examples
Abstract: We will describe the concept of regularization in statistical estimation frameworks,
and give Bayesian interpretations of why regularizing illposed problems may lead to improved estimates.
More specifically we will start from introducing the Stein's phenomenon, to end connecting Tikhonov
regularization with reproducing kernel Hilbert spaces. In doing so we will show with practical examples and
Matlab codes the effect of applying regularization concepts in classical statistical problems such as the
identification of BIBO stable LTI systems and the estimation of unknown inputs.

Speaker: Peter Wall, Division of Mathematics, LTU
Date and Time: To be announced
Place: To be announced
Title: To be announced
Abstract: To be announced
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