Differential Equations in
Fall term 2006
The topic is differential equations (both partial and ordinary
Unless otherwise noted, talks are
Fridays, 14:15–16:00 in room 1329, S-2.
|The term has ended, and further seminars are not likely.|
||Reflection of Spherical Waves
||Lower semicontinuous viscosity supersolutions of some
quasilinear equations (abstract)|
|Vegard R. Stenerud
||Adaptive Multiscale Streamline Simulation and
Inversion for High-Resolution Geomodels
||Direct and inverse scattering problem
for multi-channel scattering
We study scattering problem for a system
which consists of a finite number of semi-infinite channels
connected through a bounded scatterer.
This is a joint work with V. Marchneko.)
||Noetherian first integrals of nonholonomic systems
The relation between symmetries and conserved quantities for
nonholonomic mechanical systems is not yet well understood.
We review the problem and describe some recent results,
focusing on the question of the (non)existence of first integrals which,
like the standard momentum map for the holonomic case,
have the ‘Noetherian’ property,
that is, they are first integrals of any nonholonomic system
with invariant Hamiltonian.)
||Multivariate highly oscillatory integration
The aim of this talk is to describe several methods for numerically approximating
the integral of a multivariate highly oscillatory function.
We begin with a review of the asymptotic and Filon-type methods
developed by Iserles and Nørsett.
Using a method developed by Levin as a point of departure
we will construct a new method
that uses the same information as a Filon-type method,
and obtains the same asymptotic order, while not requiring moments.
This allows us to integrate over nonsimplicial domains,
and with complicated oscillators.)
||Formation and interaction of nonlinear waves
in the framework of the weak asymptotic method
||Some mathematical problems arising in the modeling of traffic flow. (abstract)|
- Earlier seminars
2005 spring, fall;
2004 spring, fall;
2003 spring, fall;
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