Department of Mathematics and Computational Sciences

                                                    Faculty of Engineering Sciences

                              Department of Mathematics and Computational Sciences

Head of department:

  Dr. Zoltán Horváth


  College professor

Contact information:

Telephone: +36 96 503 647




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



-          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




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   


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.



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



ELTE Bartók Béla Énekkarának koncertje 2018. május 25. 19:00 - 20:00
Szenátusi ülés 2018. május 28. 14:00 - 16:00
Nyugdíjas Egyetem Diplomaátadó 2018. június 7. 10:00 - 12:00


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