Here are the Postscript file:homework4.ps and the LaTeX file:homework4.tex.

Math 228B Computational Assignment 4 Winter 1999

Due: Monday, March 15, 1999

1.

Program a version of Flux Corrected Transport (FCT) in which

(a)

The low-order method is first-order upwind.

(b)

The high-order method is the Lax-Wendrof method (LW2).

2.

Program a version of Flux Corrected Transport (FCT) in which

(a)

The low-order method is first-order upwind.

(b)

The high-order method is the Lax-Wendrof method with fourth-order spatial differencing (LW4).

3.

Use the methods from parts (1) and (2) to compute solutions to the same three test problems as the previous two computing homeworks. Compare the two solutions for each test problem with each other and the exact solution by graphing them together.

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