up

my Math 228A web page, Numerical Solution of Differential Equations
UC Davis, Mathematics dept

by Nasser M. Abbasi

December 2010


Introduction

I took this course in Fall 2010 to learn about numerical solutions of PDE's.

extra work items (not course required)

1.
note on finding expressions for centered difference of higher order HTML
2.
generate table 1 in textbook on approximation of derivatives HTML
3.
A note on using eigenfunctions to find solution of ODE HTML
4.
Generate Error table, handout oct 8, for the uxx = − sin(3πx)  HTML
5.
looking at eigenvalues of weighted jacobian iteration matrix HTML

class syllabus

See Dr Guy web page HTML In case the syllabus goes away, here is an archive copy HTML

Other items

PDF from Dr Guy on HW5

course description from catalog

228A-228B-228C. Numerical Solution of Differential Equations (4-4-4) Lecture 3 hours; term paper or discussion 1 hour. Prerequisite: course 128C. Numerical solutions of initial-value, eigenvalue and boundary-value problems for ordinary differential equations. Numerical solution of parabolic and hyperbolic partial differential equations. Offered in alternate years.

Text book

pict

HWs





HW my

description

grade
solution





1 HTML

Poisson pde, eigenvalue problem, refinment study 1D

5/5




2 HTML

Refinment studies, 1D, LTE, convergence

5/5




3 HTML

2D, Jacobi, SOR, Gauss-Seidel, direct solver, sparse matrices

5/5




4 HTML

Multigrid V cycle algorithm, using to solve Poisson 2D

5/5




5 HTML

Conjugate Gradient

5/5