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Software Atelier: Partial Differential Equations

Description

COURSE OBJECTIVES
The main objective of the course is the implementation of finite element and finite difference methods for the solution of partial differential equations (PDEs).

 

COURSE DESCRIPTION
The students will learn how to design an object-oriented code incorporating all the necessary components (mesh, discretization schemes, sparse linear algebra, linear solvers). A particular focus will be put on the efficient implementation in MATLAB exploiting vectorization.

 

LEARNING METHODS
Lectures, laboratories, and homework assignments (including the solution of both analytical and computational problems).

 

EXAMINATION INFORMATION
Oral exam at the end of the semester

 

RECOMMENDED COURSES

  • Introduction to Computational Science
  • Introduction to Partial Differential Equations

 

REFERENCES

  • LeVeque: Finite difference methods
  • Quarteroni: Numerical methods for differential problems

People

 

Favino M.

Course director

Krause R.

Course director

Additional information

Semester
Spring
Academic year
2020-2021
ECTS
3
Language
English
Education
Master of Science in Computational Science, Elective course, Laboratory, 1st year
PhD programme of the Faculty of Informatics, Elective course, Lecture, 1st year (2 ECTS)
PhD programme of the Faculty of Informatics, Elective course, Lecture, 2nd year (2 ECTS)