2006 Fall MATH 226-01
Bulletin Course Description Numerical solution of hyperbolic conservation laws. Conservative difference schemes, modified equation analysis and Fourier analysis, Lax-Wendroff process. Gas dynamics and Riemann problems. Upwind schemes for hyperbolic systems. Nonlinear stability, monotonicity and entropy; TVD, MUSCL, and ENO schemes for scalar laws. Approximate Riemann solvers and schemes for hyperbolic systems. Multidimensional schemes. 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 I Department MATH Course Number 2006 Fall 226 Section Number 01 Primary Instructor Trangenstein,John Permission required? N Course Homepage www.math.duke.edu/~johnt/math226.html
Prerequisites
Math 224-5, or consent of the instructor.
Synopsis of course content
Numerical solution of hyperbolic conservation laws. Conservative difference schemes, modified equation analysis and Fourier analysis, Lax-Wendroff process. Gas dynamics and Riemann problems. Upwind schemes for hyperbolic systems. Nonlinear stability, monotonicity and entropy; TVD, MUSCL, and ENO schemes for scalar laws. Approximate Riemann solvers and schemes for hyperbolic systems. Multidimensional schemes.
Textbooks
http://www.math.duke.edu/~johnt/math226/book2.pdf
Assignments
There will be weekly programming assignments.
Exams
None.
Grade to be based on
Programming assignments and presentation of a research project.
