Math3071 Fall Semester 2005/2006 (06-1)
Numerical Solutions of Partial Differential Equations
MWF 11:00-11:50 Thackeray 627
Office Hours
MWF 1:00 - 2:00, and by appointment
Office: Thackeray 605
Phone: (412) 624-8338
E-mail: yotov@math.pitt.edu
This course is an introduction to modern numerical methods
for solving partial differential equations. We will cover both finite
difference and finite element methods. Accuracy, stability, and efficiency
of the algorithms will be studied from both theoretical and computational
standpoint.
Written homework and several computational projects
will be assigned. A programming language of choice can be used. Help
will only be provided for Matlab and Fortran.
The Matlab language provides extensive library of
mathematical and
scientific function calls entirely built-in.
Matlab is available on Unix and Windows in the university computing labs.
The full set of manuals is on the web in
html
and also in
Adobe PDF format. The "Getting Started" manual is a good
place to begin and is available both in html
format and in Adobe
PDF format. The full reference manual as well as manuals for each
of the many toolboxes are all available.
Course materials
Syllabus
Matlab Primer: pdf;
postscript
Matlab Tutorial:
Postscript;
HTML
Introduction to Matlab exercises by Dr. Mike Sussman:
Preliminaries;
Beginning Matlab
Homework Assignments
Homework 1, Due September 16, 2005: Chapter 1 #1.2, 1.4, 1.5
Homework 2, Due October 5, 2005: Chapter 3 #3.4, 3.6, 3.9, 3.11; Bonus: 3.7
Homework 3, Due October 19, 2005: Chapter 4 #4.4, 4.5, 4.6, 4.8a,b
Homework 4, Due November 4, 2005: Chapter 5 #5.8, 5.9, 5.10, 5.11
Computer Assignments
Project1, Due October 7, 2005: pdf file,
ps file
Project2, Due October 28, 2005: pdf file,
ps file
Project3, Due December 7, 2005: pdf file,
ps file
Exams
Exam 1 will be in class on Wed, October 26, 2005