- ECTS Credits: 4
- Year: 2
- Campus: Brno University of Technology
- ECTS Credits: 6
- Semester: 1
- Year: 2
- Campus: Ivan Franko National University of Lviv
- Language: English
- ECTS Credits: 14
- Year: 2
- Campus: Silesian University of Technology
- Language: English
- Additional info:
Students choose four courses (two for 4 ECTS and two for 3 ECTS) from among the offered courses. The courses offered will be updated each year.
The exemplary courses offer is given below:- Queuing theory,
- Finite groups,
- Optimization theory with applications,
- Inverse problems,
- Heuristic optimization methods,
- Computational Geometry,
- Graphs and Algorithms,
- Complexity Theory,
- Introduction to modern cryptography,
- AI Security,
- Differential geometry,
- Complex analysis
- Modelling with R,
- Program specialization and metaprogramming,
- Development of computer games.
- Unit Coordinator: Antonio Cicone
- ECTS Credits: 3
- Semester: 2
- Year: 1
- Campus: University of L'Aquila
- Language: English
- Aims:
Learning Objectives
The aim of this course is to provide the student with knowledge of
Parallel Computing and the ability to analyze theoretical properties and
design mathematical software for high-performance computation.Learning Outcomes
On successful completion of this module, the student should:
- have profound knowledge and understanding of the most relevant
numerical methods for numerical computation and the design of accurate
and highly performant mathematical software;
- demonstrate skills in choosing the most suitable numerical method to
be implemented depending on the problem to be solved. Furthermore,
they should demonstrate ability in developing mathematical software and
in providing its theoretical analysis;
- demonstrate the ability to read and understand other texts on related
topics. - Content:
NUMERICAL INTEGRATION
Quadrature Formulae, The Midpoint or Rectangle Formula, The
Trapezoidal Formula, The Cavalieri-Simpson Formula.
FOURIER TRANSFORM
Orthogonal Polynomials in Approximation Theory, Fourier Trigonometric
Polynomials, The Fast Fourier Transform.
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS
The Cauchy Problem, One-Step Numerical Methods, Analysis of One-Step Methods, The Zero-Stability, Convergence Analysis, The Absolute
Stability, Difference Equations, Runge-Kutta Methods, Derivation of an
Explicit RK Method, Systems of ODEs. - Pre-requisites:
Basic Numerical Analysis and Linear Algebra.
Contents - Reading list:
A. Quarteroni, R. Sacco, F. Saleri, P. Gervasio, Numerical Mathematics,
Springer (2014).
The book in pdf is available for all students of the University at
https://link-springer-com.univaq.clas.cineca.it/book/10.1007/978-0-387-22750-4
