Homework Assignments of AM213B

Each assignment is a combination of theoretical problems and computational problems. You need to submit a report in PDF for each assignment. For theoretical problems, you may scan your hand-written report into a PDF. For computational problems, you need to use a word processor to typeset a report. In part, this is to prepare you for the first year exam.

Each assignment automatically has a 3-day grace period. For example, you can turn in assignment #1 by the end of Saturday, 04/11/2020. But I strongly suggest that you start early on each assignment and use the grace period only as a safety cushion for possible complications in your schedule.

For each assignment, sumbit your PDF report by email to hongwang@soe.ucsc.edu

Assignment #0, NOT DUE, self-learning exercises.
        Sample Matlab code: Comparing multiple curves
Solution of assignment #0

Assignment #1, due by the end of Wednesday 04/08/2020.
        Sample Matlab code: Newton's method for solving scalar equations
        Sample Matlab code: Newton's method for solving systems
Solution of assignment #1

Assignment #2, due by the end of Wednesday 04/15/2020.
        Sample Matlab code: Implementing RK4 for ODE systems + coefficients of Fehlberg method
        Sample Matlab code: Estimating error in numerical solution of ODE system
        Sample Matlab code: Comparing two functions represented on different grids
Solution of assignment #2

Assignment #3, due by the end of Wednesday 04/22/2020.
        Sample Matlab code: Plot contours of several functions in ONE figure
        Sample Matlab code: Implement DIRK methods to solve scalar ODEs
Solution of assignment #3

Assignment #4, due by the end of Wednesday 04/29/2020.
        Sample Matlab code: Plot the stability region of an LMM
        Sample Matlab code: Implement FDM (finite difference method) to solve two-point BVP
        Sample Matlab code: Implement 2s-DIRK to solve a linear ODE system
Solution of assignment #4

Assignment #5, due by the end of Wednesday 05/06/2020.
        Sample Matlab code: Implement 2s-DIRK to solve a linear ODE system
Solution of assignment #5

Assignment #6, due by the end of Wednesday 05/13/2020.
        Sample Matlab code: Implement FTCS and BTCS to solve the 2D heat equation
Solution of assignment #6

Assignment #7, due by the end of Wednesday 05/20/2020.
        Sample Matlab code: Implement numerical methods to solve u_t + u_x = 0
Solution of assignment #7

Assignment #8, due by the end of Wednesday 05/27/2020.
        Sample Matlab code: Implement numerical methods to solve u_t + u_x = 0
        Sample Matlab code: Implement numerical methods to solve u_t + F(u)_x = 0
Solution of assignment #8

Assignment #9, due by the end of Wednesday 06/03/2020.
        Sample Matlab code: Plot u(x,y) in several ways
Solution of assignment #9