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Mathematics in Geosciences, September 2001 - June 2002
Robert Burridge
Earth Resources
Laboratory
Massachusetts Institute of Technology (MIT)
burridge@erl.mit.edu
Slides: pdf
Syllabus
Introduction.
Ray theory for the scalar wave equation and scalar Helmholtz equation
Dynamic ray theory
The elastic wave equation
Ray theory for a symmetric hyperbolic system
The aim for the course is to be self contained at the expense
of being formal. For instance, methods of calculating coefficients
in an asymptotic series will be treated without proving that
the series is indeed asymptotic.
Prerequisites: The material
will be strictly classical. The audience is expected to be familiar
with the solution of first order PDE's by the method of characteristics,
cartesian tensors, vector and dyadic notation, and the theory
of the eigenvalues and eigenvectors of symmetric matrices.
Name | Department | Affiliation |
---|---|---|
Santiago Betelu | Mathematics | University of North Texas |
Robert Burridge | Earth Resources Laboratory | Massachusetts Institute of Technology |
Jamylle Carter | Institute for Mathematics & its Applications | |
Christine Cheng | Institute for Mathematics & its Applications | University of Minnesota |
Dacian Daescu | University of Minnesota | Institute for Mathematics and its Applications |
Gregory S. Duane | University of Minnesota | Institute for Mathematics and its Applications |
Michael Efroimsky | University of Minnesota | Institute for Mathematics and its Applications |
Selim Esedoglu | Institute for Mathematics & its Applications | |
Daniel Kern | ||
Anna Mazzucato | Mathematics | Yale University |
Aurelia Minut | University of Minnesota | Institute for Mathematics and its Applications |
M. Yvonne Ou | University of Minnesota | Institute for Mathematics and its Applications |
Jianliang Qian | Institute for Mathematics & its Applications | |
Toshio Yoshikawa | University of Minnesota | Institute for Mathematics and its Applications |
Slides: pdf
Mathematics in Geosciences, September 2001 - June 2002
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