Division of Numerical Mathematics and Scientific Computing - Department of mathematics

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Division of Numerical Mathematics and Scientific Computing

Research interests of the Division are related to development of theoretical background of scientific computing and the development and validation of mathematical software developed on these theoretical concepts. Research directions are based on recent activities and results within research projects. Results are applicable in different disciplines.

Scientific interest od chair members is particularly oriented to:

Matrix spectral decomposition. In addition to development of numerical algorithms, we work on the theory of perturbation and on the convergence proofs. The goal is to continue successful integration of our software into the LAPACK software package.
Control theory. Activities include both the development of theoretical and numerical aspects, and the application of control theory to concrete engineering problems.
Reduction of dynamic system dimensions and data-driven methods. We develop methods for identification and approximation of dynamical systems to low-dimension models.
Operator equations. We work on the development of algebraic methods of approximation of operator equations (Lyapunov and Riccati equations) by a low rank operator approximation, based on the Krylov type, as well as a modern approach based on random sampling in the operator image.
Spectral analysis of mechanical systems. Development of numerical methods for solving linear and nonlinear eigenvalue problems in different applications.
Spline approximations. We investigate approximations with a special type of spline function, such as Chebyshev splines, cycloid splines, tension splines, and q-splines. In addition to the development of new numerical algorithms for efficient computing of these splines, the theory of their approximation properties is developed, and based on them, algorithms for specific applications.
Numerical methods for singularly perturbed problem for ODE. We study application of tension splines to this problem as well as development of exponentially fitted difference schemes of high order.

Members of the Division teach different courses from the field of numerical mathematics on the all levels of our studies.

Division of Numerical Mathematics and Scientific Computing

Employees
Courses

Full Professor

Zlatko Drmač, Full Professor, PhD Email 222 5740
Luka Grubišić, Full Professor, PhD Email +385-1-4605748
Miljenko Marušić, Full Professor, PhD Email 5747
Ivica Nakić, Full Professor, PhD Email 312 5791

Associate Professor

Nela Bosner, Associate Professor, PhD Email 302 01 4605781
Tina Bosner, Associate Professor, PhD Email 223 5741
Zvonimir Bujanović, Associate Professor, PhD Email A307 5898

Assistant Professor

Petar Mlinarić, Assistant Professor, PhD Email 309 +385 1 460 5788
Ivana Šain Glibić, Assistant Professor, PhD Email 227 5745

Assistant

Ela Đimoti, mag. math. Email 225
Hrvoje Olić, mag. math. Email 225

Title	English level	Semester	Program	INFO
Advanced data structures and algorithms		2	graduate		Advanced data structures and algorithms Engleski jezik: Semestri nastave: 2 Dodatne informacije
Advanced linear and nonlinear numerical methods in data analysis		1, 2, 3, 4	graduate		Advanced linear and nonlinear numerical methods in data analysis Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Advanced linear and nonlinear numerical methods in data analysis		1, 2, 3, 4	graduate		Advanced linear and nonlinear numerical methods in data analysis Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Advanced linear and nonlinear numerical methods in data analysis		2, 3, 4	graduate		Advanced linear and nonlinear numerical methods in data analysis Engleski jezik: Semestri nastave: 2, 3, 4 Dodatne informacije
Advanced linear and nonlinear numerical methods in data analysis		1, 2, 3, 4	graduate		Advanced linear and nonlinear numerical methods in data analysis Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Algorithms and Data Structures		3	integrated undergraduate and graduate		Algorithms and Data Structures Engleski jezik: Semestri nastave: 3 Dodatne informacije
Applied programming		2	undergraduate		Applied programming Engleski jezik: Semestri nastave: 2 Dodatne informacije
Applied programming		4	undergraduate		Applied programming Engleski jezik: Semestri nastave: 4 Dodatne informacije
Applied programming		1, 2	graduate		Applied programming Engleski jezik: Semestri nastave: 1, 2 Dodatne informacije
Artificial Intelligence		5	integrated undergraduate and graduate		Artificial Intelligence Engleski jezik: Semestri nastave: 5 Dodatne informacije
Computer graphics		3, 4	graduate		Computer graphics Engleski jezik: Semestri nastave: 3, 4 Dodatne informacije
Computer graphics		1, 2, 3, 4	graduate		Computer graphics Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Data Structures and Algorithms		5	integrated undergraduate and graduate		Data Structures and Algorithms Engleski jezik: Semestri nastave: 5 Dodatne informacije
Internship		5, 6	undergraduate		Internship Engleski jezik: Semestri nastave: 5, 6 Dodatne informacije
Internship		5, 6	undergraduate		Internship Engleski jezik: Semestri nastave: 5, 6 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Internship		1, 2, 3, 4	graduate		Internship Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Introduction to parallel computing		1, 2, 3, 4	graduate		Introduction to parallel computing Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Introduction to parallel computing		1, 2, 3, 4	graduate		Introduction to parallel computing Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Introduction to programming		1	undergraduate		Introduction to programming Engleski jezik: Semestri nastave: 1 Dodatne informacije
Introduction to programming		3	undergraduate		Introduction to programming Engleski jezik: Semestri nastave: 3 Dodatne informacije
Inverse problems and machine vision		1, 2, 3, 4	graduate		Inverse problems and machine vision Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Inverse problems and machine vision		1, 2, 3, 4	graduate		Inverse problems and machine vision Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Inverse problems and machine vision		2, 3, 4	graduate		Inverse problems and machine vision Engleski jezik: Semestri nastave: 2, 3, 4 Dodatne informacije
Inverse problems and machine vision		1, 2, 3, 4	graduate		Inverse problems and machine vision Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Machine learning		1, 2, 3, 4	graduate		Machine learning Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Machine learning		2	graduate		Machine learning Engleski jezik: Semestri nastave: 2 Dodatne informacije
Machine learning		2, 3, 4	graduate		Machine learning Engleski jezik: Semestri nastave: 2, 3, 4 Dodatne informacije
Master's thesis		4	graduate		Master's thesis Engleski jezik: Semestri nastave: 4 Dodatne informacije
Master's thesis		4	graduate		Master's thesis Engleski jezik: Semestri nastave: 4 Dodatne informacije
Master's thesis		4	graduate		Master's thesis Engleski jezik: Semestri nastave: 4 Dodatne informacije
Master's thesis		4	graduate		Master's thesis Engleski jezik: Semestri nastave: 4 Dodatne informacije
Master's thesis		4	graduate		Master's thesis Engleski jezik: Semestri nastave: 4 Dodatne informacije
Master's thesis		4	graduate		Master's thesis Engleski jezik: Semestri nastave: 4 Dodatne informacije
Mathematical modelling and scientific computing		3	graduate		Mathematical modelling and scientific computing Engleski jezik: Semestri nastave: 3 Dodatne informacije
Mathematical modelling in biology		3, 4	undergraduate		Mathematical modelling in biology Engleski jezik: Semestri nastave: 3, 4 Dodatne informacije
Mathematical modelling in biology		3, 4	graduate		Mathematical modelling in biology Engleski jezik: Semestri nastave: 3, 4 Dodatne informacije
Mathematics from Data		3	graduate		Mathematics from Data Engleski jezik: Semestri nastave: 3 Dodatne informacije
Matrix and tensor methods in data analysis		1, 2, 3, 4	graduate		Matrix and tensor methods in data analysis Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Matrix and tensor methods in data analysis		1, 2, 3, 4	graduate		Matrix and tensor methods in data analysis Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Matrix and tensor methods in data analysis		1, 3, 4	graduate		Matrix and tensor methods in data analysis Engleski jezik: Semestri nastave: 1, 3, 4 Dodatne informacije
Matrix and tensor methods in data analysis		1, 2, 3, 4	graduate		Matrix and tensor methods in data analysis Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Numerical analysis 1		1	graduate		Numerical analysis 1 Engleski jezik: Semestri nastave: 1 Dodatne informacije
Numerical analysis 1		1, 2, 3, 4	graduate		Numerical analysis 1 Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Numerical analysis 1		1, 3, 4	graduate		Numerical analysis 1 Engleski jezik: Semestri nastave: 1, 3, 4 Dodatne informacije
Numerical analysis 1		3, 4	graduate		Numerical analysis 1 Engleski jezik: Semestri nastave: 3, 4 Dodatne informacije
Numerical analysis 2		2	graduate		Numerical analysis 2 Engleski jezik: Semestri nastave: 2 Dodatne informacije
Numerical analysis 2		1, 2, 3, 4	graduate		Numerical analysis 2 Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Numerical analysis 2		2, 3, 4	graduate		Numerical analysis 2 Engleski jezik: Semestri nastave: 2, 3, 4 Dodatne informacije
Numerical analysis 2		3, 4	graduate		Numerical analysis 2 Engleski jezik: Semestri nastave: 3, 4 Dodatne informacije
Numerical mathematics		4	undergraduate		Numerical mathematics Engleski jezik: Semestri nastave: 4 Dodatne informacije
Numerical mathematics		1	doctoral		Numerical mathematics Engleski jezik: Semestri nastave: 1 Dodatne informacije
Numerical methods in financial mathematics		2	graduate		Numerical methods in financial mathematics Engleski jezik: Semestri nastave: 2 Dodatne informacije
Numerical Methods in Physics 1		1	graduate		Numerical Methods in Physics 1 Engleski jezik: Semestri nastave: 1 Dodatne informacije
Numerical Methods in Physics 2		2	graduate		Numerical Methods in Physics 2 Engleski jezik: Semestri nastave: 2 Dodatne informacije
Numerical methods in statistics - Laboratory		3	graduate		Numerical methods in statistics - Laboratory Engleski jezik: Semestri nastave: 3 Dodatne informacije
Practicum of numerical linear algebra		1, 2, 3, 4	graduate		Practicum of numerical linear algebra Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Practicum of numerical methods and approximations		1, 2, 3, 4	graduate		Practicum of numerical methods and approximations Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Probability and statistics		6	integrated undergraduate and graduate		Probability and statistics Engleski jezik: Semestri nastave: 6 Dodatne informacije
Probability and statistics		6	undergraduate		Probability and statistics Engleski jezik: Semestri nastave: 6 Dodatne informacije
Probability and statistics		4	undergraduate		Probability and statistics Engleski jezik: Semestri nastave: 4 Dodatne informacije
Project		1, 2, 3, 4	graduate		Project Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Research in advanced mathematics		1, 2, 3, 4	graduate		Research in advanced mathematics Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Research in advanced mathematics		1, 2, 3, 4	graduate		Research in advanced mathematics Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Research in advanced mathematics		1, 2, 3, 4	graduate		Research in advanced mathematics Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Research in advanced mathematics		1, 2, 3, 4	graduate		Research in advanced mathematics Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Research in advanced mathematics		1, 2, 3, 4	graduate		Research in advanced mathematics Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Scientific computing 1		1	graduate		Scientific computing 1 Engleski jezik: Semestri nastave: 1 Dodatne informacije
Scientific computing 2		2	graduate		Scientific computing 2 Engleski jezik: Semestri nastave: 2 Dodatne informacije
Signal processing		5, 6	undergraduate		Signal processing Engleski jezik: Semestri nastave: 5, 6 Dodatne informacije
Sparse signal processing		1, 2, 3, 4	graduate		Sparse signal processing Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Sparse signal processing		1, 2, 3, 4	graduate		Sparse signal processing Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije
Statistics		3	undergraduate		Statistics Engleski jezik: Semestri nastave: 3 Dodatne informacije
Statistics		3	undergraduate		Statistics Engleski jezik: Semestri nastave: 3 Dodatne informacije
Statistics		5	undergraduate		Statistics Engleski jezik: Semestri nastave: 5 Dodatne informacije
Statistics		3, 4	graduate		Statistics Engleski jezik: Semestri nastave: 3, 4 Dodatne informacije
Statistics		6	undergraduate		Statistics Engleski jezik: Semestri nastave: 6 Dodatne informacije
Statistics		5	integrated undergraduate and graduate		Statistics Engleski jezik: Semestri nastave: 5 Dodatne informacije
Statistics lab 1		1	graduate		Statistics lab 1 Engleski jezik: Semestri nastave: 1 Dodatne informacije
Statistics lab 1		3	graduate		Statistics lab 1 Engleski jezik: Semestri nastave: 3 Dodatne informacije
Statistics lab 2		4	graduate		Statistics lab 2 Engleski jezik: Semestri nastave: 4 Dodatne informacije
Web application development		1, 2, 3, 4	graduate		Web application development Engleski jezik: Semestri nastave: 1, 2, 3, 4 Dodatne informacije

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