CS 778 - AM 741:

Numerical Solution of Partial Differential Equations

(Winter 2002)

Instructor: Prof B Simpson Updated Sat March 23

Course meetings: Mon and Wed 4:15-5:45 pm. DC 3313

This course covers the basics of modern numerical methods for supporting partial differential equations: I.e.

mesh generation
assembling the discrete equations
solving them
visualizing solutions

One of the connotations of 'modern' is that non-uniform meshes and automated assembly of the discrete equations are featured.

See the Course Announcement for more details

Topics calendar

Final Exam - Monday April 22 from 1:30 - 4:00 pm ; DC 3313

past exams finalW2K.ps finalW01.ps

Course supplementary notes

Simple FVM and short introduction to Newton's method
Block FVM ( systems of conservation laws; one space variable)
FVM in 2-D steady conservation laws
Unstructured meshes basic geometry, Delaunay meshes, Voronoi cells , Elementary FVM
C++ mesh classes

Assignment 2

handout.ps

Assignment 3: due Fri Feb 15

first_step.m, SimpleHeat/SHdriver , PressPulse/PPdriver.m changes made Feb 12

handout.ps
Generic programs asmblM.incompl asmblres.m fluxcoef.m first_step.m next_step.m
SimpleHeat SHdriver.m Flux.m left_bound.m right_bound.m model_init.m

Assignment 4: due Mon March 18

handout.ps

Assignment 5: due Thurs April 4

software documentation DelRefineMesh SparseIt++
handout.ps
RELOAD provided code from directory Drivers and also Matlab/PlotSoln.m

Background topics

Paper that illustrated steps from pde modeling to numerical solution fuel cell

Links to documents on multi variable calculus and the divergence theorem

brief supplementary course notes .ps
larger mathematical introductory discussion
helpful figures html - follow the links for good discussion of conservation law

U of Regina C++ tutorial