Department of Mathematics and Computational Sciences

                                                    Faculty of Engineering Sciences

                              Department of Mathematics and Computational Sciences

Head of department:

  Dr. Zoltán Horváth

Position:

  College professor

Contact information:

Telephone: +36 96 503 647

E-mail: horvathz@sze.hu

Homepage: http://math.sze.hu

 

Research profile:

-          Mathematical modelling; setting up industrial, mathematical models

-          Development and application of the numeric methods for solving engineering problems

-          Numerical solutions and qualitative analysis of differential equations

-          Finite element methods (FEM)

-          Development of finite volume methods, flow calculation methods (CFD)

-          Industrial application of FEM and CFD methods

-          Meshfree methods

-          Margin-integral equation methods

-          Interpolation techniques

-          Equations, computational numerical modelling of continuum-mechanics

-          Parallel numeric algorithms

-          Mathematical bases of operations research

-          Non-linear and global optimization

-          Automated optimization for complex simulations

-          Mathematical methods of decision preparation

-          Data mining, collaborative filtering

-          Logical game programming

-          Optimization of production scheduling

-          Computer algebra, fractal geometry

 

Applied Methods / Special tools:

-          Theoretical and applied methods of mathematics and computational sciences, with special regard to performing computational simulations and utilization of their results

-          Special software: Hypermesh, Abaqus, MD Nastran, Fluent, Matlab, Maple, GAMS

-          Special hardware: GPU and FPGA workstations; HP BL260C blade server (12 compute node, each having 2 pieces of 3GHz Quad-Core Intel Xeon, 16GB RAM, infiniband interconnect)

-          Use of FEM programme packages: HyperMesh, Abaqus, MD Nastran

-          Use of CFD programme packages: ANSYS Fluent

-          Use of general purpose mathematical software: MS Excel, Matlab, Maple

-          Preparing own code on C, C++ programming languages

-          programming of multiprocessor, staging memory computer with MPI system

-          Programming of hardware accelerators: GPU (with C for CUDA) and FPGA (with Impulse C)

-          GAMS modelling and optimizing software

-          Computational programme packages, serving the solution of mathematical optimization models: GAMS, MS Excel, WinQSB

-          Use of statistical programme packages: SPSS, Clementine

-          Information technology in the education

-          Electronic teaching material preparation and recitation

 

Services:

-          Solution of practical problems with the help of optimizing software

-          Model calculations, studies, analyses, preparing recommendations

-          Industrial mathematical calculations: finite element and flow calculations

-          Data mining, recommendatory systems, risk analysis

-          Performing high-performance calculations (HPC), code production, and/or hiring materials

 

References:

 

Research projects:

 

1. Simulation and optimization

Type: TÁMOP 4.2.2

Aim: To perform basic research for the development of simulations, based on quick, modern hardware for complex physical and production systems

Tasks, performed by the Department: Developing of parallel programming methodologies and preparing simulations - based on the methodologies - with its own codes, mathematical modelling of physical processes, and numeric analysis of mathematical models

Duration: 2009-2011

Project partners: Lehigh University (Betlehem, PA), Eötvös Lóránd University of Sciences, HTEC (company, USA), University of Graz, Johannes-Kepler-University Linz, King Abdullah University of Science and Technology (KAUST)

 

2. Development of digital holographic interferometry with increased optic angle and resolution and its application in shape- and deformation measurement

Type: GVOP-3.1.1.,-2004-05-0403/3.0

Aim: To develop numeric algorithms and software for digital holography

Duration: 2005-2007

Project partners: Budapest University of Technology and Economics - Department of Physics

 

3. EAP research   

Type:  INNOREG (ND_INRG5_07ENTALSZE)

Aim: To state equations of state of EAP materials, to establish a mathematical model, to define the behaviour occurring as a result of an electrical field. To develop algorithms - suitable for the calculation of deformations - for simulations

Duration: 2008-2010

Project partners: ENTAL Ltd.

 

Contract research:

 

1. Vehicle Industrial Regional University Knowledge-centre

Type: Industrial commission

Aim: To perform research connected to the vehicle industry

Tasks, performed by the Department: Performing computational simulation of the flow around the motor vehicle, then calculating the noise of the external mirror; optimizing the suction- and exhaust system of the diesel-engine; studying the heating of the valve seat; determining the tolerance accuracy of the external mirror, based on the CAD-model

Duration: 2006-

Principals: SAPU limited partnership, Deutz AG., Audi Hungaria Motor Ltd.

 

2. Integrated Automotive Product and Technology Development Research

Type: Industrial commission

Aim: To perform research connected to vehicle industry

Tasks, performed by the Department: Calculating the heating of wet brakes, performing deflection-examinations on extreme load front running-gears

Duration: 2008

Client: Rába Vehicle Industrial Holding Inc.

 

3. OTP-project

Type: Bank commission

Aim: To perform a risk analysis

Tasks, performed by the Department: Developing the credit rating process for large data sets, including developing its own code

Duration: 2009

Client: OTP Bank, Budapest

 

4. Audi-project

Type: Industrial commission

Aim: To prepare software, to make a production plan based on orderings

Tasks, performed by the Department: Modelling, preparing software

Duration: March 2008 - October 2008

Client: Audi Hungaria Motor Ltd.

 

Keywords:

mathematical modelling, numeric methods, differential equations, finite element methods, finite volume methods, flow calculations, methods, without web, automated optimization

Vállalati

Események

Levelezős konzultációs hétvége 2017. november 24. - 2017. november 25.
Szenátusi ülés 2017. november 27. 14:00 - 16:00

Kiadványaink

Kutatási kapacitásokÉves Jelen