| Date |
Schedule/assignment |
|
Monday 9/28
|
- Administration:
- First assignment:
- Overview - slides
- Review what you remember about computer artithmetic
so you can answer the following questions applied to
calculations on a computer : Is 1/3 * 3 = 1 ? Is a+b = b+a ?
Is there a largest number ? Is there a smallest number ? What is the
largest smallest number bigger than 0 ? What is a bit/byte ?
- Read about numerical analysis disasters by Doug Arnold
and
Kees Vuik's disasters page and Thomas Huckle's BUGSE pages.
- Read recent discussion in NA-Digest
about use of Fortran vs MATLAB in teaching/learning numerical
analysis. Use Search Interface and keyword "Fortran". Then follow down
to File /na-digest-html/07/index.html to read what people think about
this dilemma.
|
|
Wednesday 9/30
|
No class today. READ material assigned.
|
|
Friday 10/2
|
LAB 1
(MLC Kidd 108J) computer lab. You can come as early as 8:30.
|
|
Monday 10/5 - Wednesday 10/7
|
Functional iteration and Newton's method in R:
convergence and variants. Read Chapter 5 from [Kelley].
and preliminaries, if necessary.
|
|
Friday 10/9
|
LAB 2 (MLC Kidd 108J) computer lab.
|
|
Monday 10/12 |
Newton's method in R^N: assumptions,norms, and examples.
|
|
Wednesday 10/14 |
Applications: linear BVP, condition number. A-posteriori estimates
for convergence of (NI), (FI).
|
|
Friday 10/23
|
LAB 3 (MLC Kidd 108J) computer lab.
- Please read about ssh and
scp .
- You must be able to use some text editor under Unix.
I suggest emacs or vi. Please look up the basics.
|
|
Monday 10/19 |
Wrap-up Newton's method in R^N
|
|
Wednesday 10/21 |
Linear solvers; iterative stationary methods. |
|
Friday 10/23
|
Continue LAB 3 (MLC Kidd 108J) computer lab.
|
|
Monday 10/26 |
Develop fully implicit
discrete nonlinear transient convection-diffusion-reaction example.
Spectrum for two-point BVP and its discretization.
|
|
Wednesday 10/28 |
Non-stationary methods for solving linear systems. You can use these
graphs as a worksheet on phi , worksheet on psi for class examples on steepest
descent, CG, and GMRES. Krylov space methods as projection methods.
|
|
Friday 10/30
|
LAB 5 (MLC Kidd 108J) computer lab.
|
|
Monday 11/2 | Finish example on
steepest descent, CG, and GMRES. Computational cost of iterative
methods: SAXPY, inner products, matrix * vector products.
Demo on smoothing properties of some stationary methods.
sor.m
Read chapters 3 and 4 from [Kelley].
|
|
Wednesday 11/4 |
CG implementation using recurrence relations, complexity.
Preconditioning: why, how.
Read chapters 3 and 4 from [Kelley].
|
|
Friday 11/6
|
Continue LAB 5 .
|
|
Monday 11/9 |
Multigrid
Demo with multigrid. multigrid_demo.m
Use multigrid resources from resources page.
|
|
Wednesday 11/11 |
Parallel computing basics.
Basics of MPI and
cluster computing. Deadlocks and load balancing.
Read handouts.
Students in this class will have access to the COE cluster via their
Engrg accounts or via
COS accounts , and to
CUDA technology . We will
use these in labs; you may want to read the material via links provided
to get ready.
|
|
Friday 11/13
|
Start LAB 7 .
Turn in all lab reports by midnight Wed., 12/2.
|
|
Monday 11/16
|
Overlapping domain decomposition aka block Jacobi.
Basics of MPI calls.
Slides
|
|
Wednesday 11/18
|
Efficiency and scalability of parallel computations.
|
|
Friday 11/20 | Continue LAB 7 .
Turn in all lab
reports by midnight Wed., 12/2.
Presentation of
OpenMP. You can consult this
OpenMP tutorial. Also, compare pi.c and openmp_pi.c
|
|
Monday 11/23
|
Shared memory versus distributed memory algorithms. Threads versus
processes versus programs.
Non-overlapping domain decomposition.
|
|
Wednesday 11/25
|
No class today. Happy Thanksgiving !
|
|
Monday 11/30
|
Overlapping domain decomposition: additive and multiplicative
Schwarz alternating methods.
Demos: dd_overlapA.m and dd_overlap.m
|
|
Wednesday 12/2
|
Non-overlapping domain decomposition: Schur complement.
Dirichlet-Neumann and Neumann-Neumann methods
Demos: dd_nooverlapDN.m and dd_nooverlapNN.m
|
|
Friday 12/4
|
Lab review (in regular classroom)
|
