2008 Spring MATH 227-01
Bulletin Course Description Numerical solution of parabolic and elliptic equations. Diffusion equations and stiffness, finite difference methods and operator splitting (ADI). Convection-diffusion equations. Finite element methods for elliptic equations. Conforming elements, nodal basis functions, finite element matrix assembly and numerical quadrature. Iterative linear algebra; conjugate gradients, Gauss-Seidel, incomplete factorizations and multigrid. Mixed and hybrid methods. Mortar elements. Reaction-diffusion problems, localized phenomena, and adaptive mesh refinement. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title NUM PARTIAL DIFF EQUA II Department MATH Course Number 2008 Spring 227 Section Number 01 Primary Instructor Trangenstein,John Prerequisites Prerequisite: Mathematics 224, 225, or consent of instructor. Course Homepage www.math.duke.edu/~johnt/math226.html
Synopsis of course content
See catalog description.
Textbooks
None.
Assignments
There will periodic assignments which will for the most part involve programming although some will involve some mathematics.
Exams
None.
Term Papers
None, although some of the more elaborate exercises will be like term papers in the sense that they will require a sustained and substantial effort.
Grade to be based on
Assignments.
