## Homework and Exams

HomeworksPDE TypeWorth hw1 Parabolic 25% hw2 Elliptic 25% hw3 Hyperbolic 25% hw4 FEM 25% ## Homeworks

All homework should be emailed to me by December 1, 2011.

Always put MA 5340 in the Subject line of your message. I will send you a reply when I get your mail. If you do not get a reply, I did not get your email. You are responsible for having an email account that can communicate successively with me. I am flexible on which of my email accounts you use up to a degree. I will normally send you email from GMail, however.All homework should be done individually unless explicitly stated in an individual homework assignment. It is acceptable to ask simple questions of other people, but do not collude or works together closely. All dead sources are acceptable, however.

## HW1

Problems Ch2/2,3,5,8,9 and Ch3/3,4,6 from the textbook. From the ODE class notes, program the Euler method, a 4th order Runge-Kutta, and a linear multistep method of order > 2 using the predictor-corrector style. Have an arbitrary function f1(x,y) or f2(x,y,y'). Program the 1-D heat equation using the q style time stepping formulae.

## HW2

Problems Ch4/1,5,7 and Ch5/1 from the textbook. Program Leap-Frog and Lax-Wendroff for hyperbolic equations

## HW3

Problems Ch6/3,6 from the textbook.

## HW4

Implement a 1D finite element method similar to the codes in HW1 using both forward and backward Euler.