AMATH 574
Winter Quarter, 2009
Conservation Laws and Finite Volume Methods
(Prerequisites: AMATH 586 or equivalent)
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Instructor:
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Professor
Randall J. LeVeque
Guggenheim 415C
(206) 685-3037
rjl at washington dot edu
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Lectures: |
Mondays and Wednesdays, 3:30 - 4:50 pm
Room: Guggenheim 204
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Office hours: |
MWF 2:30 - 3:30 or drop by / make appointment
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Course assistants: |
David Ketcheson and Kyle Mandli
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Course Description
Theory of linear and nonlinear hyperbolic conservation laws modeling
wave propagation in gases, fluids, and solids. Shock and rarefaction
waves. Finite volume methods for numerical approximation of solutions;
Godunov's method and high-resolution TVD methods. Stability,
convergence, and entropy conditions.
Prerequisites: AMath 586 or comparable background in numerical methods for
differential equations. Please contact the instructor if you want more
information.
More course description
Text:
Finite Volume Methods for Hyperbolic Problems, by R. J. LeVeque,
Cambridge University Press, 2003
Check the errata
page and make note of the many errors!
Software:
The CLAWPACK software will
be used to illustrate the behavior of hyperbolic equations and to facilitate
working with finite volume methods.
Grading:
Grades will be based on homework sets and a final project.
Other links:
Trac wiki
and svn repository for the class
Class participants can login to the wiki for homework, lecture slides, and
other class resources.
Slides from first lecture
Project description