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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > High Frequency Wave Propagation

High Frequency Wave Propagation

September 19 - September 22, 2005

CSIC Building (#406), Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions

This workshop is part of the series of events celebrating the 150th anniversary of the University of Maryland

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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.





Franšois Castella  University of Rennes 1
Bjorn Engquist UT Austin
Dennis Healy DARPA and University of Maryland
Olof Runborg KTH, Stockholm
Eitan Tadmor University of Maryland


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.

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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:

  1. 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.
  2. The theoretical limit process from a full wave equation to an asymptotic description
  3. Numerically couple elements of direct and asymptotic models in hybrid methods.
  4. Fast direct methods for wave equations and their boundary integral formulation with a computational complexity sublinear in the frequency.
  5. Applications to seismology, computational electromagnetics and medical imaging, etc.

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The program will start with a one day tutorial on asymptotic theory and numerical methods for high frequency waves. The remaining time will be devoted to a workshop with invited speakers.

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Bj÷rn Engquist: A survey of computational high frequency wave propagation
James Ralston: Gaussian Beams

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Columbia University
California Institute of Technology
Ohio State University
California Institute of Technology
IMAR-University of Rennes 1
University of California, Los Angeles
University of Texas, Austin
University of California, Los Angeles
University of Maryland
University of Maryland/DARPA
University of Maryland
University of Wisconsin
University of Reading
Iowa State University
University of Maryland
University of Delaware
University of California, Los Angeles
Emory University
University of California, Los Angeles
KTH, Stockholm
University of Chicago
University of Maryland
University of California, Berkeley
University of Maryland
University of California, Los Angeles
University of Texas, Austin
University of Maryland
Applied and Computational Mathematics at Caltech
University of California, Irvine
University of Maryland
University of Maryland



A limited amount of funding for participants at all levels is available, especially for researchers in the early stages of their career who want to attend the full program.

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CSCAMM Visitor Guide: home.cscamm.umd.edu/visitors


Center for Scientific Computation And Mathematical Modeling (CSCAMM)
Computer Science Instructional Center (Building #406)
University of Maryland, College Park
College Park, MD 20742-3289


Web: /programs/hfw05


Click here for Poster [PDF]



Click Here for Photos

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