Due to space limitations, please register/RSVP at
/programs/hfw05/rsvp.htm Due to the large number of
applications for the workshop on High Frequency Wave
Propagation (September 19-22), we regret that RSVP is
now closed to new applicants.
High frequency wave propagation is a classical example of applied
mathematics dating back to the development of geometrical optics. Today
it is a rich field with a variety of applications in electromagnetic
scattering, seismology, photonics, quantum physics and medical imaging.
The computational challenges originate in the need of resolving short
wave length signals over large domains. The mathematical theory is
linked to micro-local analysis, nonlinear partial differential
equations, Wigner transforms, semi-classical analysis and analysis of
fast algorithms in numerical analysis.
The program will explore the recent progress in research and bring
together scientists from mathematics, applications and computational
science. The workshop will provide a forum for exchange between these
different research communities. The focal points include:
Numerical methods for the high frequency asymptotic models
(geometrical optics, geometrical theory of diffraction), in particular
in the presence of many crossing waves and caustics.
The theoretical limit process from a full wave equation to an
Numerically couple elements of direct and asymptotic models in hybrid
Fast direct methods for wave equations and their boundary integral
formulation with a computational complexity sublinear in the frequency.
Applications to seismology, computational electromagnetics and medical