|PDF of the course slides.|
|MG_13_12_2018.pdf 1.8 MB|
|1. The slides include also the exercises.|
2. Changes will be introduced during the semester.
3. The slides may include some material which will not be
included in the course.
4. Material my be added during the semester.
Why Multigrid Methods are so Efficient
|An introductory article|
|Why Multigrid Methods are so Efficient.pdf 313 KB|
Multigrid for Functional Minimization
|This is a standalone lecture. It considers the multigrid coarse-grid correction process as a method for minimizing a functional. For a quadratic functional (which corresponds to a linear systems of equations) we obtain the Galerkin approximation. More generally, we apply a first-order Taylor series approximation to the optimal coarse functional, and obtain the FAS nonlinear multigrid algorithm.|
|Multigrid_as_Functional_Minimization_Algorithm.pdf 447 KB|
Scale Consistent Image Completion
|Standalone lecture describing a multiscale algorithm for the problem of image completion. Joint work with Michal Holtzman-Gazit.|
|SCIC_SPS.pdf 2.3 MB|
Multigrid for the PageRank problem
|Standalone lecture describing a basic multigrid-like approach for Markov chains, applied to the PageRank web page ranking problem. Joint work with Eran Treister.|
|Multigrid_for_PageRank.pdf 1 MB|