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Scientific computing 1

Code: 45655
ECTS: 5.0
Lecturers in charge: izv. prof. dr. sc. Nela Bosner - Lectures
Lecturers: izv. prof. dr. sc. Nela Bosner - Exercises
English level:


All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

1. komponenta

Lecture typeTotal
Lectures 15
Exercises 45
* Load is given in academic hour (1 academic hour = 45 minutes)
COURSE AIMS AND OBJECTIVES: The aim of the course is acquirement of skills for application of numerical methods by computer implementation. The emphasise is on better understanding the terms: approximation, perturbation, stability. Tutorials are organized as implementation of the methods in a programming language (C, FORTRAN, with controlled usage of available program libraries), with aim to introduce development of the methods to our students. By doing that, the skills for development of (libraries) mathematical software are developed, too.

1. Definition of the environment (selection of a higher programming language and a mathematical software library (BLAS, LAPACK) for the implementation of algorithms). (2 weeks)
2. Iterative methods for solving linear systems. Independent implementation of one simple method. Practical usage of learned methods on study examples from application. The state of the art mathematical software libraries are applied. Implementation on a parallel computer (if available). (4 weeks)
3. Independent implementation of one (simple) method for diagonalization. Eigenvalue problems and SVD in applications - selected examples are solved by using the LAPACK library. (4 weeks)
4. Least squares method. Regularization. Numerical solution of integral equations in practice. (3 weeks)
  1. J. Demmel: Applied Numerical Linear Algebra
  2. R. Plato: Concise Numerical Mathematics
  3. A. Greenbaum: Iterative methods for solving linear systems
  4. B. Parlett: The symmetric eigenvalue problem
  5. G. Golub, Ch. Van Loan: Matrix computations
1. semester
Mandatory course - Mandatory studij - Applied Mathematics
Consultations schedule:


Link to the course web page: http://www.pmf.unizg.hr/math/predmet/znarac1