Math 227 - Numerical methods for partial differential equations, II (Spring 2003)

Instructor

John Trangenstein

Description

This course will discuss finite difference methods for parabolic equations, including operator splitting in multiple dimensions. Afterward, it will discuss iterative linear algebra, including incomplete factorization, conjugate gradients and related algorithms, nonlinear krylov algorithms, and multigrid. Then the course will examine elliptic boundary value problems and finite element methods. If time permits, the course will finish with finite element methods for parabolic and hyperbolic problems.

Math 226 is useful for this course, but not essential. This course is not directly a prerequisite for any other listed course however it is useful for essentially all topics in applied math.

Text(s)

Numerical Solution of Partial Differential Equations, by John Trangenstein

Web-site

For more information see http://www.math.duke.edu/~johnt/math226.html
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Last modified: October 24, 2002