High  performance computing
L. Halpern and J. Ryan
  
Frst PUF Course, 2009Cours 2016
  

 

  
To prepare the course
1) work on  the pages 11-29 presentationJR.pdf
2) upload the lectures notes from last year and work on chapters 1 to 3.
3) for further use upload the excellent book by Saad
https://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf

 
  1. Schedule and Contents of the course
  2. Prerequisites
  3. Grading


1.Schedule and contents of the course
 

Mornings
 Afternoons
Chapter I.   Schwarz domain decomposition methods
Chapter II.  Dirichlet Neumann, Neumann-Neumann, Schur et FETI
Chapter III.  Optimized Schwarz 
Chapter IV.  Waveform relaxation
Chapter V.  Parallelisation  in time

 Chapter I.  HPC :   Krylov  methods
Chapter II. HPC : Préconditionning
Chapter III.  Schwarz methods
Chapter IV.  Schur methods
Chapter V. Space-time parallelisation

Mondays, wednesdays, fridays,  december 9 to 20.
Morning: 9-12.
Afternoons : 14-17.


  2. Prerequisites

The lecture notes of elementary numerical analysis by Douglas Arnold
https://www.ima.umn.edu/~arnold/597.00-01/nabook.pdf
Basic notions in analysis and PDE: Distributions, Fourier transforms and series,  PDE and maximum principle.


  
To prepare the course
1) work on  the pages 11-29 presentationJR.pdf
2) upload the lectures notes from last year and work on chapters 1 to 3.
3) for further use upload the excellent book by Saad
https://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf

 
  1. Schedule and Contents of the course
  2. Prerequisites
  3. Grading


1.Schedule and contents of the course
 

Mornings
 Afternoons
Chapter I.   Schwarz domain decomposition methods
Chapter II.  Dirichlet Neumann, Neumann-Neumann, Schur et FETI
Chapter III.  Optimized Schwarz 
Chapter IV.  Waveform relaxation
Chapter V.  Parallelisation  in time

 Chapter I.  HPC :   Krylov  methods
Chapter II. HPC : Préconditionning
Chapter III.  Schwarz methods
Chapter IV.  Schur methods
Chapter V. Space-time parallelisation

Mondays, wednesdays, fridays,  december 9 to 20.
Morning: 9-12.
Afternoons : 14-17.


  2. Prerequisites

The lecture notes of elementary numerical analysis by Douglas Arnold
https://www.ima.umn.edu/~arnold/597.00-01/nabook.pdf
Basic notions in analysis and PDE: Distributions, Fourier transforms and series,  PDE and maximum principle.


3. Grading

Two marks : one written exam (2 hours)  + one oral exam based on the homeworks.
The final mark is the mean values.






    

  
To prepare the course
1) work on  the pages 11-29 presentationJR.pdf
2) upload the lectures notes from last year and work on chapters 1 to 3.
3) for further use upload the excellent book by Saad
https://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf

 
  1. Schedule and Contents of the course
  2. Prerequisites
  3. Grading


1.Schedule and contents of the course
 

Mornings
 Afternoons
Chapter I.   Schwarz domain decomposition methods
Chapter II.  Dirichlet Neumann, Neumann-Neumann, Schur et FETI
Chapter III.  Optimized Schwarz 
Chapter IV.  Waveform relaxation
Chapter V.  Parallelisation  in time

 Chapter I.  HPC :   Krylov  methods
Chapter II. HPC : Préconditionning
Chapter III.  Schwarz methods
Chapter IV.  Schur methods
Chapter V. Space-time parallelisation

Mondays, wednesdays, fridays,  december 9 to 20.
Morning: 9-12.
Afternoons : 14-17.


  2. Prerequisites

The lecture notes of elementary numerical analysis by Douglas Arnold
https://www.ima.umn.edu/~arnold/597.00-01/nabook.pdf
Basic notions in analysis and PDE: Distributions, Fourier transforms and series,  PDE and maximum principle.








    






    

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