ADVANCED NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Enrollment year

2018/2019

Academic year

2018/2019

Regulations

DM270

Academic discipline

MAT/06 (PROBABILITY AND MATHEMATICAL STATISTICS)

Department

DEPARTMENT OF MATHEMATICS "FELICE CASORATI"

Course

MATHEMATICS

Curriculum

PERCORSO COMUNE

Year of study

1°

Period

2nd semester (04/03/2019 - 14/06/2019)

ECTS

Lesson hours

48 lesson hours

Language

Italian

Activity type

ORAL TEST

Teacher

SANGALLI GIANCARLO (titolare) - 3 ECTS
MOIOLA ANDREA - 3 ECTS

Prerequisites

Basic knowledge of numerical analysis, mathematical analysis, partial differential equations and Matlab language.
Previous attendance of the Finite Element course is preferable.

Learning outcomes

The course aims at studying in detail some modern methods for the numerical approximation of partial differential equation that are relevant for applications.
The methods under consideration will be analysed theoretically and implemented numerically.

Course contents

The course will focus on some advanced techniques for the solution of partial differential equations that extend the programme of the Finite Element course.
Some examples are: boundary element method (BEM), isogeometric analysis (IGA), virtual element method (VEM), discontinuous Galerkin method (DG), immersed boundary method (IBM), domain decomposition (DD), eigenvalue problems, space-time Galerkin methods, preconditioning techniques.

Teaching methods

Classroom lectures and tutorials in the computer lab.

Reccomended or required readings

Notes prepared by the lecturer.
Scientific papers provided by the lecturer.

Assessment methods

Oral exam and Matlab report.

Further information

Sustainable development goals - Agenda 2030

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