Starting date March 27

Duration 20 hours (2 hours per week for 10 weeks)

Description of the course

The theory of Generalized Locally Toeplitz (GLT) sequences was developed in order to solve a specific application problem, namely the problem of computing/analyzing the spectral distribution of matrices arising from the numerical discretization of Differential Equations (DEs). A final goal of this spectral analysis is the design of efficient numerical methods for computing the related numerical solutions. The purpose of this course is to introduce the reader to the theory of GLT sequences and to present some of its applications to the computation of the spectral distribution of DE discretization matrices. The course will mainly focus on the latter applications, whereas the theory will be presented in a self-contained tool-kit fashion, without entering into technical details.

     

Speaker

Prof. Serra Capizzano Stefano (Università degli studi Insubria)

  

Schedule

Wednesday 10:30-12:30, Room SI-007

 

ETCS

1 

Topics

Toeplitz matrices and their spectral properties, Multi-Index Notation, Tensor Products, Multilevel Diagonal Sampling Matrices and Multilevel Toeplitz Matrices. Applications in FE and FD Methods.

 

                                                                                                  

Prerequisites:

 

      Knowledge on partial differential equations, linear algebra, finite element and finite difference method 

 

 

Fee

Free

 

Registration

To register, please send an email to

 

Venue

Università della Svizzera italiana

  

Accommodation

Participants are kindly requested to make their own arrangements for accomodatoions

Link to hotel map of Lugano

Organizers:

Maria Giuseppina Chiara Nestola (USI-ICS)

Rolf Krause (USI-ICS)