Chapters in Scientific Computing

 

 

 

title

     
 

Time and place: Sprintzak 26, Thursdays 12:00-13:45, Fall '10

Teacher: Raanan Fattal (raananf)

 

Course (tentative) syllabus:

Chapter

Description
Books
Wavelets

Multiresolution analysis, orthogonal/biorthogonal wavelets, wavelet design, lifting scheme, and frames

"a Wavelet tour of signal processing," Stephane Mallat, (all editions)
Multigrid

Geometric and algebraic

"Multigrid," Trottenberg Schuller and Oosterlee
Markov-Chain Monte Carlo

Theory of Markov Chains and sampling strategies

"Probabilistic Inference Using Markov Chain Monte Carlo Methods," Neal Radford, [pdf]

One of Daubechies Wavelets

Regular coarsening in Multigrid

A sample from 4-color Potts Model

     
 
     
 

 

Assignments:

Description
Additional material / comments
Ex1 Ex 1 wav file ex1.m  

 

Slides:

Topic

Additionl References:

Topic
Book Title
Multigrid

Multigrid by Ulrich Trottenberg, Cornelius W. Oosterlee, and Anton Schuller (Hardcover - Dec 15, 2000)

A Multigrid Tutorial by William L. Briggs, Van Emden Henson, and Steve F. McCormick
Wavelets
MCMC

Monte Carlo Statistical Methods (Springer Texts in Statistics) by Christian P. Robert and George Casella

 

Additional course material: Poisson Formula (an analytical expression for Dirac's comb function), Scalogram (CWT) - Spectrogram (STFT) comparison plates