Mathematics 226: Numerical Analysis of PDE I

Mathematics 226: Numerical Analysis of PDE I (Fall 2002)

Instructor

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.

This will be a hands-on course in which we will spend a lot of time and effort in dealing with programs that solve the problems mentioned in the Description above. The course is a prerequisite for Math 227.

Textbooks

(Required Online Hypertext) Numerical Solution of Partial Differential Equations by John A. Trangenstein

Prerequisites

Math 224 and 225, or consent of the instructor.

Course Website

For more information see http://www.math.duke.edu/~johnt/math226.html

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Last modified: 19 March 2002