Math 227 - Numerical methods for parabolic and elliptic partial
differential equations, with iterative linear algebra (Spring 2002)
John A. Trangenstein
Description
- Iterative Linear Algebra
- Conjugate Gradients
- Gauss-Seidel
- Incomplete Factorization
- Multigrid
- Parabolic Equations
- Theory
- Finite Differences
- Stiffness
- Alternating Direction Methods
- Convection-Diffusion Problems
- Reaction-Diffusion Problems
- Elliptic Equations
- Theory
- Conforming Finite Element Methods
- Finite Element Computations
- Nodal basis functions
- Numerical quadrature
- Finite element matrix assembly
This course is not directly a prerequisite for any other listed course
however it is useful for essentially all topics in applied math.
Prerequisites
Math226
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 9, 2001