Szemináriumok

Miklós Farkas and a brief history of applied math at TU Budapest

Időpont: 
2020. 02. 20. 10:15
Hely: 
H306
Előadó: 
Hujter Mihály
A szeminárium részletei: 
Farkas Miklós Alkalmazott Analízis Szeminárium

The history of the Technical University in Budapest began in the 18th century. The deep mathematical studies started around 1840. Among others, Vállas, Hunyady, J. Kőnig, Rados, Kürschák, D. Kőnig, Egerváry, Hajós, Gallai, Alexits
were important professors of math.

For more than 50 years Miklós Farkas (1932-2007) was a dominant person in applied mathematics education, mainly for mechanical engineering students. He published (wrote and edited) 15 books and 77 papers. The most famous is ,,Periodic Motions'' (Berlin, 1994).

Visit the ,,História Tudósnaptár'' homepage for more details on the above listed persons: https://tudosnaptar.kfki.hu/historia/

Research reports of PhD students

Időpont: 
2019. 12. 05. 10:15
Hely: 
H306
Előadó: 
Boda Lívia, Molnár András, Teshome Bayleyegn
A szeminárium részletei: 
Farkas Miklós Alkalmazott Analízis Szeminárium

A Farkas Miklós alkalmazott analízis szemináriumot tantárgyként felvevő hallgatók kutatási beszámolói. 

10:15-10:35: Lívia Boda: Investigation of different operator splitting methods

10:35-10:55: András Molnár: Adaptive Time-Stepping for Neural Ordinary Differential Equations

10:55-11:15: Teshome Bayleyegn: Absolute stability and convergence analysis for Multiple Richardson Extrapolation

Multidimensional Sensitivity Analysis of Large-scale Mathematical Models & High-accuracy numerical methods for parabolic systems in air pollution modeling

Időpont: 
2019. 11. 28. 10:15
Hely: 
H306
Előadó: 
Ivan Dimov & Venilin Todorov
A szeminárium részletei: 
Farkas Miklós Alkalmazott Analízis Szeminárium

Ivan Dimov: Multidimensional Sensitivity Analysis of Large-scale Mathematical Models

The aim of the talk is to present various approximation Sensitivity Analysis techniques of Large-scale Mathematical Models. A concept of Sensitivity Analysis and complexity in classes of algorithms will be presented. More precisely, randomized Quasi-Monte Carlo and modified Sobol sequences will be analyzed. As a case study the Unified Danish Eulerian model of air pollution transport (UNI-DEM) will be considered. UNI-DEM is carried out to compute more precisely interaction effects of inputs and sensitivity measures. Various Monte Carlo algorithms have been applied for numerical integration of multidimensional integrals to estimate the sensitivity measures. A comparison of their efficiency will be discussed.

Venelin Todorov: High-accuracy numerical methods for parabolic systems in air pollution modeling

We present different approach es for enhancing the accuracy of the second-order finite difference approximations of two dimensional semilinear parabolic systems. These are the fourth-order compact difference scheme and the fourth-order scheme based on Richardson extrapolation. Our interest is concentrated on a system of ten parabolic partial differential equations in air pollution modeling. We analyze numerical experiments to compare the two approaches with respect to accuracy, computational complexity, nonnegativity preserving, etc. The sixth-order approximation based on the fourth order compact difference scheme combined with Richardson extrapolation is also discussed numerically. 
(Joint work with Juri Kandilarov, Ivan Dimov and Luben Vulkov.)

Oldalak