Faculty of Mathematics and Informatics

Faculty of Mathematics and Informatics

Sukurta: 28 July 2017

mif24 Naugarduko, LT-03225 Vilnius
47 Didlaukio, LT-08303 Vilnius
Tel. 219 3050, fax 215 1585
E-mails: ,
www http://www.mif.vu.lt

Dean – Prof. Dr. Gediminas Stepanauskas

STAFF

141 teachers (incl. 93 holding research degree), 6 research fellows (incl. 3 holding research degree), 37 doctoral students.

 

RESEARCH AREAS

Fundamental mathematics: number theory, probability theory and stochastic analysis, theory of differential equations, functional analysis.
Informatics: recognition processes, data analysis and visualization, optimization, artificial intelligence, modelling of processes and systems, mathematical logic and discrete structures, innovative educational methods.
Informatics engineering: image and signal technologies, parallel computing, system engineering, computational experiments, applications of information technologies.
Applied mathematics: methods of mathematical statistics, mathematical modelling, econometrics, finance and insurance mathematics, modern elementary mathematics and didactics.

DOCTORAL DISSERTATIONS MAINTAINED IN 2016

L. Dindienė. Asymptotic analysis of sums of heavy-tailed random variables.
A. Korvel. Ruin probabilities of the discrete-time risk model with inhomogeneous claims.
D. Krunglevičius. STDP learning of spatial and spatiotemporal patterns.
Ž. Ledas. Computational modelling of the self-organization of luminous bacteria in liquid.
A. Lenkšas. Weak approximations of Heston model by discrete random variables.
J. Novickij. On the stability of finite difference schemes for hyperbolic equation with nonlocal integral boundary conditions.
R. Petuchovas. Asymptotic analysis of the cyclic structure of permutations.
A. Reklaitė. Measuring globalization effect: the application of dynamic hierarchical factor model.
R. Šimėnas. On a-values of zeta-functions.
J. Šliogerė. Discrete approximations for sums of weakly dependent variables.
V. Valaitis. Neural network based robot motion improvement.

MAIN CONFERENCES ORGANIZED IN 2016

6th international conference Analytic and Probabilistic Methods in Number Theory

DEPARTMENT OF COMPUTER SCIENCE

47 Didlaukio, LT- 08303 Vilnius
Tel. 219 50 10, fax. 215 1585
e-mail:

Head - Prof. Dr. Rimantas  Vaicekauskas

STAFF

Professors: Dr. R. Vaicekauskas, Habil. Dr. A. Žilinskas (part-time), Dr. J. Žilinskas (part-time).
Associate professors: Dr. O. Kurasova (part-time), Dr. L. Laibinis (part-time), Dr. A. Mitašiūnas, Dr. A. Raudys (part-time), Dr. V. Tumasonis.
Senior research fellow: Habil. Dr. Š. Raudys.
Lecturers: Dr. J. Andrikonis, Dr. D. Baronas (part-time), Dr. A. Birštunas, Dr. V. Dičiūnas, Dr. H. Giedra (part time), Dr. V. Jančauskas, Dr. R. Kybartas (part-time), Dr. A. Lenkevičius (part-time), Dr. G. Skersys, Dr. G. Zlatkus (part-time), M. Eglinskas, S. Grigaitis (part time), A. Janeliūnas (part-time), V. Kiško (part-time), R. Masiulis (part-time), M. Plukas (part-time), I. Radavičius, L. Ričkus (part-time), J. Žagūnas.
Senior assistants: G. Graževičius (part-time), A. Grevys (part-time), M. Grubliauskis (part time), D. Lebedenko (part time), L. Litvinas (part-time), K. Mizara (part-time), A. Šaikūnas (part-time).

RESEARCH INTERESTS

Process capability assessment and improvement
Innovation, knowledge and technology transfer process modelling
Qualified electronic signature and applications
Error-correcting codes
Cloud computing
Global optimization, optimal design, visualization of multidimensional data
Computational intelligence and machine learning
Neural networks, pattern recognition
Colour and lighting applications
Smart linguistic fonts
Modal logics. Artificial Intelligence
Financial data analysis using computation intelligence methods
Automated formal modelling and verification of software-based systems

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Computational Intelligence and its Applications in Information Technologies. Prof. R. Vaicekauskas. 2012–2016.

Main results achieved: individually adjustable metameric lighting approach is validated; export process capability assessment model; learning process continuous model; data mining and knowledge discovery via artificial intelligence based methods; approach to electronic documents cross-border interoperability solution; validation  of technology transfer concept and model InnoSPICE; methods of computational intelligence for financial engineering;  novel model of artificial spiking neural network designed for unsupervised learning of spatial patterns.

Main publication:

Mitašiūnas, A., Bykovskij, A. 2016. Lithuanian national platform of electronic documents: towards cross-border interoperability. IEEE Xplore Document: 28 March 2016, ISSN: 2166–1677.

National Research Projects

Research Council of Lithuania. Colour Restoration In Cultural Heritage Objects Using

Solid‐State Lighting (No. MIP-096/2015). Head Prof. Dr. R. Vaicekauskas. 2015–2017.

The objects of cultural heritage, such as paintings, textiles, and jewellery, are damaged by the environmental factors over the time.The idea of the Project HeriLED is to investigate the possibility of recreating the original appearance of an damaged object using a lighting device having appropriate spectral power distribution that is comprised of light-emitting diodes (LEDs).
In the first phase of the project the photo-sensitive materials used in cultural heritage objects were investigated. Selected colour samples were artificially aged using UV lighting. It was shown by digital experiment that the limited number of colours can be precisely restored by adjusting the spectrum of light source. Also, psychophysical experiments revealed, metameric spectra did not coincide, this can be reduced by applying 10 degrees standard observer colour matching functions.

Research Council of Lithuania. Modeling Investment Portfolio using Quantum Chaos (No. MIP-100/2015). Head Assoc. Prof. Dr. A. Raudys. 2015–2017.

An objective of the project is the analysis of regularities of environment’s changes in the financial markets, building up methods to detect them and using the regularities while developing the portfolio weights calculation algorithms, to validate novel methods in the practical work. Artificially generated multidimensional semi-chaotic signals will be used to mimic financial indicators by novel quantum chaos model. The model was suggested by the project authors. It is based on signal propagation in multi-group excitable media composed of cellular automaton mimicking neural networks schemes. The results of the economy and finance simulation will be used to justify the ways of portfolio design. Contrary to existing schemes, the new solution will allow inclusion of feedback loops, assess the periodic and non-periodic fluctuations in the environment in evolving portfolio scheme. Novel methods will be checked carefully by applying them in practical work with real world, large scale financial data obtained from Lithuanian partners and international data bases.

Main publication:

Raudys, A. 2016. Portfolio of global futures algorithmic trading strategies for best out-of-sample performance. Business information systems BIS 2016: proceedings of 19th international conference on business information systems, Leipzig, Germany, July, 6-8, Abramowicz, W; Alt, R; Franczyk, B. (eds.). Book series: Lecture Notes in Business Information Processing. Cham : Springer International Publishing, vol. 255, p. 424–435, doi: 10.1007/978-3-319-39426-8_33.

Research Council of Lithuania. E-documents for Europe (No. TEC-03/2015). Head Assoc. Prof. Dr. A. Mitašiūnas. 2015–2016.
Software prototype for solution of electronic documents cross-border interoperability is developed based on creation of multi-egzemplars for electronic document according to requirements of national platforms of electronic documents of the signatories involved: https://int.mitsoft.lt/signa-docs/app/

Lithuania’s Agency for Science, Innovation and Technology (MITA). Development of Unmanned Hybrid Aerial Vehicle for Country Defense Needs. (No. 31V-81, KOLIBRIS).

During the latest year the software was developed including: analytical software with mapping capabilities, geographical functions API, high performance daylight and infrared cameras integration, STANAG-4586 standard partial implementation, and user interface for the ground control station.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Office of the Government of the Republic of Lithuania
University of Bremen (Germany)‎
Fraunhofer Institute for Factory Operation and Automation IFF, Magdeburg (Germany)
Jawaharlal Nehru University, New Delhi (India)
Nanjing University (China)

OTHER SCIENTIFIC ACTIVITIES

Prof. Habil. Dr. Š. Raudys –

Prof. Habil. Dr. A. Žilinskas –

Assoc. Prof. A. Mitašiūnas –

  • editorial advisory board member of the international Journal of Applied Science and Engineering, http://www2.tku.edu.tw/~tkjse /;
  • advisory board member of international working group Enterprise SPICE on software process assessment and improvement;
  • board member on the National Software and Services Technology Platform.

Assoc. Prof. V. Tumasonis –

Assoc. Prof. A. Raudys –

  • reviewer of the European Journal of Finance.

Assoc. Prof. L. Laibinis –

  • reviewer of the Formal Aspects of Computing;
  • program committee member of ICIST nternational conference on Information and Software Technologies;
  • program committee member of SERENE International Workshop on Software Engineering for Resilient Systems .

DEPARTMENT OF COMPUTER SCIENCE II

24 Naugarduko, LT-03225 Vilnius
Tel.: 219 3091, 219 5020, fax 215 1585
47 Didlaukio, LT-08303 Vilnius
E-mail: ;

Head – Assoc. Prof. Dr. Tadas Meškauskas

STAFF

Professors: Habil. Dr. Emeritus F. Ivanauskas, Dr. A. Juozapavičius.
Associate professors: Dr. E. Janiūnienė (part-time), Dr. K. Karčiauskas, Dr. P. Kasparaitis (part-time), Dr. R. Krasauskas, Dr. T. Meškauskas, Dr. S. Zubė.
Lecturers: Dr. M. Beniušė, Dr. A. Brilingaitė, Dr. L. Bukauskas, Dr. A. Čivilis, Dr. J. Ignatavičiūtė, Dr. J. Katina (part-time), V. Krinickij (part-time), Dr. M. Puida, Dr. V. Rapševičius, Dr. J. Tamulienė (part-time), L. Antanaitis, L. Būtėnas, T. Dagys, E. Kutka, T. G. Lipnevičius (part-time), R. Malakauskas, R. Markauskas (part-time), V. Masiulionytė-Dagienė (part-time), K. Mickus, M. Savickas (part-time), B. Šulmanas (part-time).
Research fellows: Habil. Dr. Emeritus F. Ivanauskas, Dr. K. Karčiauskas.
Doctoral students: R. Astrauskas, J. V. Daugmaudis, G. Dreižas, A. Nečiporenko, A. V. Misiukas Misiūnas, V. Okockis.

RESEARCH INTERESTS

Methods and applications of non-linear and computational modelling, computational geometry
Methods of computer vision, medical imaging, digital imaging, speech and signal processing, data structures and algorithms
Computational modelling of chemical and biological processes and systems
Internet technology and information systems
Location based services and database management systems
Computer networks
Cloud and parallel computing, virtualization
Cyber security
Education in computer science

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Research and Analysis of Methods for Nonlinear, Numerical, Computational and Geometric Modelling, Design and Analysis of Data Base and Data Mining Methods, Image, Signal and Visual Processing. Dr. T. Meškauskas. 2016–2019.

Computational methods for recognizing pneumonia in lungs were examined and proposed. An algorithm for automatic spike detection in EEG (electroencephalogram) and measurement of derivative parameters (baseline, upslope, downslope and width of EEG spikes) was proposed and examined.
New constructions of high quality multi-sided surfaces were developed.
A new method for predicting phoneme durations was proposed. Lithuanian text-to-speech synthesizers were evaluated. A rational parametrization of Darboux and isotropic cyclide was investigated. Methodology and infrastructure for a collaborative cyber-defence were developed.
Mathematical expression of the effectiveness of the bio-catalytic active filters to generate flux of the product and parameter describing permeability of the bio-catalytic filter for substrate was obtained.

Main publications:

Karčiauskas, K., Thien Nguyen, Jorg Peters. 2016. Generalizing bicubic spline surfaces for modelling and Iga with irregular layout. Computer-Aided Design, vol. 70, p. 23–35.

Thien Nguyen, Karčiauskas, K., Jorg Peters. 2016. C1 finite elements on non-tensor-product 2d and 3d manifolds. Applied Mathematics and Computation, vol. 272, Part 1, p. 148–158.

Ivanauskas, F., Morkvenaite-Vilkonciene, I., Astrauskas L., Ramanavicius, A. 2016. Modelling of scanning electrochemical microscopy at redox competition mode using diffusion and reaction equations. Electrochimica Acta, vol. 222, 347–354.

National Research Projects

Cyber Shield 2016. Dr. L. Bukauskas. 2016.

The development of Defence-oriented Cyber Security Training Platform and infrastructure and the development of methodologies and experimental incident evaluation of process handling in Cyber Security Training Platform (Table-top) for Cyber Security Exercises.

International Research Projects

EU Horizon 2020 project. Supercomputing Expertise for Small and Medium Enterprises (Sesame NET). (No. 654416). E. Kutka. 2015–2017.
Supporting one network of HPC competence centres promote access to computational expertise anywhere in Europe and enable the dissemination of best practice in HPC industrial use particularly for SMEs.

CMS Software and Data Bases. Prof. A. Juozapavičius. 2016.

Project aims at developing web-based monitoring, detector databases and DB loader as a part of CMS Collaboration software. Tasks involve baseline calculations, monitoring, control and execution of infrastructural environment, creating software development tools for innovation, accountability and training. Applications are used to manage and monitor data to visualize the results for subdetektoriams HCAL, Pixels, GEM (Gas Electron Multiplier), HGC (High Granularity Calorimeter).

Contractual Research

Project Lituanica SAT-2 (NanoAvionics JSC and Vilnius University).

3U CubeSat in-orbit technology demonstration mission led by Vilnius University. The mission is a part of a network of 50 nano-satellites called QB50 that will be launched together in the first half of 2016. Objective of the mission is to carry out long term measurements of key parameters and constituents in yet largely unexplored lower thermosphere and ionosphere.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Aalborg University (Denmark)
CERN (Switzerland)
European Space Agency (France)
Georgia Institute of Technology (USA)
Kaunas University of Technology (Lithuania)
Nanoavionics, JSC (Lithuania)
University of Alberta (Canada)
University of Bozen-Bolzano (Italy)
University of Tartu (Estonia)
Vilnius Gediminas Technical University (Lithuania)

OTHER SCIENTIFIC ACTIVITIES

Prof. Emeritus F. Ivanauskas –

  • Chairman of the Division of Mathematical, Physical and Chemical Sciences of the Lithuanian Academy of Sciences, http://lma.lt/index.php?lang=lt;
  • member of the Lithuanian Academy of Sciences;
  • President of the Council of Visoriu Information Technology Park, http://www.vitp.lt/lt/apie-vitp/taryba;
  • editor-in-chief of the journal Nonlinear Analysis: Modelling and Control, http://www.mii.lt/NA/;
  • editorial board member of the Lithuanian Mathematical Journal, www.mii.lt/lmj ;
  • editorial board member of the Journal of Civil Engineering and Management;
  • editorial board member of the journal Mathematical Modelling and Analysis;
  • board member of the Council of Vilnius University;
  • board member of the Lithuanian Mathematicians Association;
  • board member of the Council of Fundamental Sciences Faculty of Vilnius Gediminas Technical University.

Prof. A. Juozapavičius –

  • editorial board member of the journal Nonlinear Analysis: Modeling and Control, http://www.mii.lt/NA/;
  • deputy of Chairman in CMS Collaboration (CERN).

Assoc. Prof. R. Krasauskas –

  • editorial board member of the journal Lithuanian Mathematical Journal, www.mii.lt/lmj;
  • advisory board member of Effective Methods in Algebraic Geometry (MEGA) conferences.

Dr. A. Brilingaitė –

  • member of Association for Computing Machinery (ACM).

Dr. L. Bukauskas –

  • member of ACM Special Interest Group on the Management of Data (SIGMOD);
  • board member of Technical Committee No. 86 for digital geographic information at the Department of Standardization.

DEPARTMENT OF DIDACTICS OF MATHEMATICS AND INFORMATICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3086
E-mail: 

Head - Assoc. Prof. Dr. Edmundas Mazėtis

STAFF

Professor: Dr. V. Dagienė (part-time).
Associate professors: Dr. A. Apynis, Dr. A. Elijio, Dr. E. Gaigalas, Dr. T. Jevsikova (part-time), Dr. R. Kašuba, Dr. R. Kudžma, Dr. E. Mazėtis.
Lecturers: Dr. Š. Repšys, Dr. A. Novikas.

RESEARCH INTERESTS

Research of paradigms, prevailing in mathematics and informatics (IT) teaching in secondary school and university
Research of mathematical problems and mathematical models
Development of working methods with children gifted in mathematics and informatics

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Analysis of Mathematics and Informatics (IT) Teaching Methods and Applications. Prof. V. Dagienė. 2014–2019.

Positive psychological consequences of effective moments in problem solving and posing as well as their influence to the human creativity have been analysed.
A. J. Greimas’s semiotics is being applied for analysis of mathematics texts which allows evaluating the quality of these texts as well as for analysis of function’s portrait drawing problem.
Investigation of the priorities for choosing subjects and external as well as internal motives that predetermine them, examines the issues of self-reflection on choosing exact subjects and analyses the links between the choice of exact subjects and the further professional learners’ career.
Investigation of practical methods of problem posing in mathematical texts and contests and the perception of mathematical contents during the lectures delivered for the engaged students of Vilnius University.
Investigation of teaching methods for Informatics for first year students: how to improve students’ abilities especially in learning programming, how to motivate students, etc. Research on Informatics curricula to be digital – online or delivered by e-courses.

Main publications:

Gaigalas, E. 2016. The upper bound for the dimension of the space of theta-series. Lithuanian Mathematical Journal, vol. 56, no. 3, p. 291–297.

Kašuba, R., Novikas A. 2016. A non-trivial step in solving an easy math problem, in teaching mathematics: retrospective and perspectives. Proceeding of the 17th conference, Tallinn, May 6-7, p. 77–85.

Skakauskas, V., Repšys, Š. 2016. Modelling of an age-structured population dynamics taking into account a discrete set of offspring. Liet. matem. rink. Proceeding LMS, Ser. A, vol. 57, p. 75–80.

International Research Projects

FETCH Future Education and Training in Computing: How to Support Learning at Anytime Anywhere. No 539461-LLP-1-2013-1-BG-ERASMUS-ENW. Prof. V. Dagienė. 2013–2016.

2nd year of the three-year European project FETCH. It involves 67 partners from 35 countries. All of them are active researchers in the field of Computing Education. Researchers will work on the re-organisation of the teaching process by changing teaching methods, developing new didactical theories and learning models for using social media in education and new Digital Curricula in Computing Education and Training.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Eastern Finland (Finland)
University of Ljubljana (Slovenia)
Tartu University (Estonia)
Weizmann Institute of Science (Israel)
Istanbul University (Turkey)
Turku University (Finland)
Nijmegen University (The Netherlands)
Sankt-Petersburg State University (Russia)
ETH Zurich (Switzerland)
Uppsala University (Sweeden)
King’s College of London University (UK)
Watt-Herriot University of Edinbourgh (UK)
Limerick University (Ireland)
University of Novy Sad (Serbia)
University of Sarajevo (Bosnia&Herzogovina).

OTHER SCIENTIFIC ACTIVITIES

Assoc. Prof. A. Apynis –

Prof. V. Dagienė –

  • chair of International Contest on Informatics and Computational Thinking BEBRAS: http://bebras.com;
  • national coordinator of project FETCH Future Education and Training in Computing: How to support learning at anytime anywhere under Long Life Learning programme;
  • vice chair of the international Committee TC3 of IFIP (International Federation for Information Professing);
  • referee of scientific papers and books of the International Journal Zentralblatt;
  • member of the International Committee of IOI (International Olympiad in Informatics);
  • editorial board member of the journal International Journal of Instruction, http://www.e-iji.net/;
  • editorial board member of the journal Acta Pedagogica Vilnensia, http://www.vu.lt/leidyba/lt/mokslo-zurnalai/acta-paedagogica-vilnensia/redakcine-kolegija;

Assoc. Prof. T. Jevsikova –

Assoc. Prof. R. Kašuba –

Assoc. Prof. R. Kudžma –

  • editorial committee member of the journal Nordisk Matematikk Didaktikk, Nordic Studies in Mathematics Education;
  • board member of Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/;

Assoc. Prof. E. Mazėtis –

Dr. A. Novikas –

Dr. Š. Repšys –

DEPARTMENT OF DIFFERENTIAL EQUATIONS AND NUMERICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3098, fax 215 1585
E-mail: 

Head - Prof. Habil. Dr. Konstantinas Pileckas

STAFF

Professors: Dr. A. Ambrazevičius, Habil. Dr. K. Pileckas, Dr. A. Štikonas (part-time), Dr. O. Štikonienė.
Research fellow: Habil. Dr. K. Pileckas.
Affiliate professor: Dr. V. Skakauskas.
Associate professors: Dr. P. Katauskis, , Dr. A. Kregždė, Dr. M. Meilūnas (part-time), Dr. G. Puriuškis, Dr. S. Rutkauskas (part-time),
Lecturers: Dr. A. Domarkas, Dr. A. Kavaliauskas Dr. K. Kaulakytė, Dr. M. Skujus.
Doctoral students: A. Eismontaitė, G. Paukštaitė.

RESEARCH INTERESTS

Investigation of differential, integrodifferential and nonlocal equations
Analysis and numerical methods

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Investigations of Solutions to Differential and Integro-differential Equations. Prof. K. Pileckas. 2014–2017.

The asymptotics of solutions with vanishing at infinity velocity of the steady-state Navier–Stokes equations is 6 studied in an exterior domain of R4. It is proved that the leading part in the asymptotic representation coincides with the fundamental solutions of the Stokes system.
The nonhomogeneous boundary value problem for the stationary Navier–Stokes equations set in two-dimensional symmetric domains with finitely many outlets to infinity was studied. The existence of at least one weak solution was proved for arbitrarily large fluxes over the inner and outer boundaries.
The mathematical models, for toxin–antibody interaction and toxin trafficking towards the endoplasmic-reticulum, for Shiga 2 toxin neutralization by A-and B-subunit-specific human monoclonal antibodies, for the CO oxidation with N2O reaction proceeding over composite catalysts, for two types of enzyme-containing filters are presented and studied numerically.

Main publications:

Pileckas, K., Russo, R. 2016. Asymptotics of solutions with vanishing at infinity velocity of the steady-state Navier–Stokes equations in the dimension four. Journal of Mathematical Fluid Mechanics, Basel, Springer. First online, ISSN 1422-6952, doi: 10.1007/s00021-016-0303-4.

Skakauskas, V., Katauskis, P. 2016. Numerical study of CO oxidation by N2O reaction over supported catalysts. Journal of Mathematical Chemistry, Cham: Springer, vol. 54, Iss. 6, p.1306–1320.

Kaulakytė, K., Xue, W. 2016. Nonhomogeneous boundary value problem for Navier–Stokes equations in 2D symmetric unbounded domains. Applicable analysis. Colchester: Taylor & Francis Ltd, first on line. p. 1–22;
doi: 10.1080/00036811.2016.1198780.

International Research Projects

Joint Vilnius University and University of Zurich research project Assymptotic Problems and Applications supported by the Lithanian-Swiss program Research and Development under the agreement No. CH-3-ŠMM-01/01. Project leader – Prof. K. Pileckas. 2012–2016.

Linearized, non-stationary Navier-Stokes type equations with the given flux in an infinite periodic pipe of period length L are studied. The existence and uniqueness of the solution is proved.
Asymptotic conditions at infinity for the time periodic Navier-Stokes equations are constructed and justified in a system of pipes.
The stationary nonhomogeneous Navier–Stokes problem is studied in a two-dimensional symmetric domain with a semi-infinite outlet. The existence of at least one weak symmetric solution is proved without any restriction on the size of the fluxes the boundary value.

Main publications:

Chipot, M., Klovienė, N., Pileckas, K., Zubė, S. 2016. On a non-stationary fluid flow problem in an infinite periodic pipe. Math. Nachrichten, First online, doi:10.1002/mana.201500304.

Skujus, M. 2016. Asymptotic conditions at infinity for the time-periodic Stokes problem in a system of pipes. Analysis and applications. Singapore : World Scientific Publishing Co. Pte. Ltd., vol. 14, no 2, p. 233–268.

Chipot, M., Kaulakytė, K., Pileckas, K., Xue, W. 2016. On nonhomogeneous boundary value problems for the stationary Navier–Stokes equations in two-dimensional symmetric semi-infinite outlets.  Analysis and applications. Singapore: World Scientific Publishing Co. Pte. Ltd., p. 1–27, doi: 10.1142/S0219530515500268 0.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Zurich, Zurich (Switzerland)
University of Saint Etienne, Saint Etienne (France)
Seconda Università degli Studi di Napoli, Caserta (Italy)
University of Novosibirsk, Novosibirsk (Russia)
Defence Science and Technology Organisation, Melbourne (Australia)

OTHER SCIENTIFIC ACTIVITIES

Prof. K. Pileckas –

  • member of the Lithuanian Academy of Sciences;
  • editorial board member of the journal Mathematical Fluid Mechanics;
  • editorial board member of the journal Mathematical Modelling and Analysis;
  • editorial board member of the  Lithuanian Mathematical Journal;
  • editorial board member of the Journal of Elliptic and Parabolic Equations;

Prof. O. Štikonienė –

  • managing editor of the journal Lithuanian Mathematical Journal, www.mii.lt/lmj.

Prof. A. Štikonas –

  • deputy-editor-in-chief of the journal Nonlinear Analysis: Modelling and Control;
  • editorial board member of the journal Mathematical Modelling and Analysis;
  • editorial board member of the journal Lithuanian Mathematical Journal, www.mii.lt/lmj.

Assoc. Prof. S. Rutkauskas –

  • editorial board member of the journal Mathematical Modelling and Analysis;
  • editorial board member of the journal Lithuanian Mathematical Journal.

DEPARTMENT OF ECONOMETRIC ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3076
E-mail:

Head – Prof. Habil. Dr. Alfredas Račkauskas

STAFF

Professors: Habil. Dr. V. Čekanavičius, Habil. Dr. R. Leipus, Habil. Dr. R. Norvaiša, Habil. Dr. A. Račkauskas, Habil. Dr. M. Radavičius (part-time).
Associate professors: Dr. V. Kvedaras, Dr. R. Lapinskas, Dr. A. Maldeikienė, Dr. G. Murauskas.
Lecturers:  Dr. D. Celov, Dr. R. Malukas (part-time), Dr. J. Markevičiūtė,  Dr. J. Šliogerė (part-time), Dr. V. Zemlys, V. Butkus (part-time), V. Maniušis,  T. Marčiulaitis (part-time), A. Reklaitė (part-time).
Doctoral students: L. Dindienė, J. Jarutis, L. Naruševičius, A. Reklaitė, M. Tartėnas.

RESEARCH INTERESTS

Time series analysis, financial econometrics
Functional data analysis
Limit theorems in probability and their applications to statistics and econometrics
Bootstrap and other resampling methods in statistics and econometrics
Macroeconometric modelling
High frequency data analysis

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Analysis and Applications of Functions and Stochastic Systems. Prof. A. Račkauskas. 2016–2021.
  a) Rough functions analysis;
  b) Functional data analysis;
  c) Approximation of stochastic systems;
  d) Investigation of long memory processes.
Some weak invariance principles in Besov topology were proved. Epidemic change tests for innovations of the first order autoregressive process were constructed. The closeness of 1-dependent runs statistics to the class of all infinitely divisible laws was established. Properties of estimators for dynamic panel models with random coefficients and various asymptotic properties for sums of heavy-tailed random variables were investigated. An operator generated by extended Henstock-Kurzweil product integral acting between spaces of functions of bounded p-variation was investigated. Mixed-frequency modelling and balance-of-payments-constrained economic growth was analized.

Main publications:  

Račkauskas, A., Suquet, Ch. 2016. Computing the distribution of sequential Hölder norms of the Brownian motion. Communications in statistics - theory and methods. Philadelphia: Taylor & Francis INC, vol. 45, iss. 15, p. 4378–4391.

Ghysels, E., Kvedaras, V., Zemlys, V. 2016. Mixed frequence data sampling regression models: the R package midasr. Journal of Statistical Software. Innsbruck: Foundation for Open Access Statistics, vol. 72, no 4, p. 1–35.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Lille (France)
Utah University (USA)
York University (England)
Tilburg University (The Netherlands)
Karol Adamiecki University of Economics in Katowice (Poland)

OTHER SCIENTIFIC ACTIVITIES

Prof. A. Račkauskas –

Prof. V. Čekanavičius –

Prof. R. Leipus –

Prof. R. Norvaiša –

  • editorial board member of the Lithuanian Mathematical Journal;
  • associate editor of the North-Western European Journal of Mathematics.

Assoc. Prof. V. Kvedaras –

DEPARTMENT OF MATHEMATICAL ANALYSIS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3074
E-mail:

Head – Prof. Dr. Jonas Šiaulys

STAFF

Professors: Habil. Dr. V. Mackevičius, Habil. Dr. V. Paulauskas, Dr. G. Stepanauskas, Dr. J. Šiaulys.
Associate professors: Dr. G. Bakštys (part-time), Dr. M. Manstavičius, Dr. A. Plikusas.
Lecturers: Dr. A. Juozulynas, Dr. A. Lenkšas, Dr. K. Liubinskas, Dr. D. Puplinskaitė, Dr. A. Skučaitė, J. Damarackas (part-time),
Doctoral students: E. Bernackaitė, J. Damarackas, E. Ignatavičiūtė, A. Korvel, G. Lileika, O. Navickienė, L. Žvinytė.

RESEARCH INTERESTS

Mathematical analysis
Functional analysis
Limit probability theorems in infinite-dimensional spaces
Stochastic analysis
Actuarial mathematics
Financial mathematics
Risk theory

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Studies of Random Processes and Fields and their Applications in Financial and Actuarial Mathematics. Prof. J. Šiaulys. 2016–2021.

The asymptotic formula was obtained for the finite-time ruin probability in the inhomogeneuos risk renewal model. The closure property was established of distributions from class D with respect to the random sum in the case of not identically distributed summands. The asymptotic formula was derived for the distribution tail of the randomly weighted and stopped sum.
Anisotropic long-range dependence in autoregressive random fields was studied.
The existence of a smooth solution of the backward Kolomogorov equation related to the CIR procees is proved. Possibilities of approximation of positive solutions of general SDEs by discrete random variables were studied. The poperties of the stochastic Verhulst equation were studied in the context of possible applications as an interest rate model.  
A new class of measures of dependence for random variables with infinite variance was introduced. Properties of these measures and relations between them were investigated. Lamperti type theorems for random fields were obtained. Using the Monte-Karlo simulations several tail index estimators were compared.
Actuarial analysis of adequacy / financial sustainability of social security pensions were investigated.
New bounds for the multivariate Clayton copula were obtained.

Main publication:

Puplinskaitė, D., Surgailis, D. 2016. Aggregation of autoregressive random fields and anisotropic long-range dependence.  Bernoulli. Voorburg: International Statistical Institute, vol. 22, no 4, p. 2401–2441.

National Research Projects

Measurements of adequacy / financial sustainability of social security pension schemes. Project is carried out by Social Security Committee of International Actuarial Association. Dr. A. Skučaitė. 2016.

To prepare a (survey) paper on adequacy / sustainability of Social Security systems throughout the world. During 2016 research on whether and – if yes how sustainability / adequacy of social security retirement pension systems is defined and / or measured in 11 countries throughout the world was carried out. Preliminary results were presented by A. Skučaitė during biannual meeting of Social Security Committee of International Actuarial Association in Cape Town (November 2016).

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Nantes (France)
Taras Shevchenko National University of Kyiv (Ukraine)
University of Bonn (Germany)
Soochow University (China)
Nanjing Audit University (China)

OTHER SCIENTIFIC ACTIVITIES

Prof. V. Mackevičius –

Prof. V. Paulauskas –

Prof. J. Šiaulys –

  • editorial board member of the Lithuanian Mathematical Journal;
  • editorial borard member of the Modern Stochastics: Theory and Applications;
  • member of the Lithuanian Mathematical Society, http://www.mif.vu.lt/lmd/index_en.html;
  • reviewer for Mathematical Reviews;
  • reviewer for Zentralblatt MATH.

Prof. G. Stepanauskas –

Assoc. Prof. G. Bakštys –

Dr. M. Manstavičius –

Dr. A. Skučaitė –

DEPARTMENT OF MATHEMATICAL COMPUTER SCIENCE

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5030 fax. 2151585
Email:

Head – Assoc. Prof. Dr. Vilius Stakėnas

STAFF

Professors: Habil. Dr. M. Bloznelis, Dr. S. Gražulis (part-time), Habil. Dr. Ž. Lukšienė (part-time),
Associate professors: Dr. G. Bareikis, Dr. A. Mačiulis, Dr. V. Stakėnas, Dr. V. Zacharovas.
Lecturers: I. Grinis, K. Kvederavičiūtė (part-time).
Research fellow: Dr. G. Alkauskas.
Doctoral student: M. Kepalas.

RESEARCH INTERESTS

Probabilistic analysis of number-theoretical structures
Combinatorial statistics
Random discrete structures and algorithms

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Analysis of Discrete Structures by Probabilistic, Combinatorial and Analytical Methods. Prof. M. Bloznelis, Assoc. Prof.  A. Mačiulis. 2011–2016.

It has been shown that the global clustering coefficient of a complex network with an infinite degree variance admits a limiting probability distribution.
It was proved that any beta distribution can be simulated by means of a sequence of distributions defined via multiplicative functions related to the generalized divisors function.
Some results on the decay property of characteristic function of Quicksort distribution were proved.
The limit value distributions of the functions in the domain of rational numbers defined via two-variable polynomials were found.

Main publications:

Bloznelis, M., Kurauskas, V. 2016. Clustering function: Another view on clustering coefficient. Journal of Complex Networks, vol. 4, p. 61–86.

Bloznelis, M., Leskelä, L. 2016. Diclique clustering in a directed random graph. In A. Bonato, F. Chung Graham, P. Pralat (Eds.): Algorithms and Models for the Web Graph - 13th International Workshop WAW 2016, Lecture Notes in Computer Science 10088, Springer, p. 22–33.

Bloznelis, M. 2016. Kombinatorikos ir grafų teorijos paskaitos: Vilniaus universiteto vadovėlis. Vilniaus universitetas: Vilniaus universiteto leidykla, 117 [1] p.

National Research Projects

Research Council of Lithuania. Structural Functional Equations: Projective Flows, Transfer Operators, Minkowski Question Mark Function, and Modular Forms (No MIP-072/2015). Dr. G. Alkauskas. 2015–2018.

Algebraic, abelian and commutative pairs of projective flows with rational vector field were investigated (3 publications). Further, the theory of projective superflows was developed over O(2), O(3) and U(2) (3 publications). For example, over O(3) there exist exactly 5 superflows, 3 of them irreducible, 2 - reducible. Also, the generating function that counts words equal to the unity in the modular group was investigated.

Main publications:

Alkauskas, G. 2016. Algebraic and abelian solutions to the projective translation equation. Aequationes mathematicae, vol. 90, no 4, p. 727–76; doi: 10.1007/s00010-016-0410-6.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Aalto University (Finland)
Bielefeld university (Germany)
Poznan Adam Mickiewicz university (Poland)

OTHER SCIENTIFIC ACTIVITIES

Dr. G. Alkauskas –

Assoc. Prof. G. Bareikis –

Prof. M. Bloznelis –

Assoc. Prof. A. Mačiulis, Assoc. Prof. V. Stakėnas –

DEPARTMENT OF MATHEMATICAL STATISTICS

24 Naugarduko, LT-03225 Vilnius
Tel. 219 3065, fax. 215 1585
E-mail:

Head – Prof. Dr. Vytautas Kazakevičius

STAFF

Professors: Habil. Dr. V. Bagdonavičius, Dr. V. Kazakevičius.
Affiliate professor: Dr. J. Kruopis.
Associate professors: Dr. R. Eidukevičius, Dr. R. Levulienė, Dr. M. Vaičiulis (part-time), Dr. P. Vaitkus.
Lecturer: Dr. V. Skorniakov.
Doctoral student: S. Staskevičiūtė.

RESEARCH INTERESTS

Statistical methods in reliability theory and survival analysis and their applications
Asymptotic analysis of distributions of statistics, their approximations and applications
Neural networks
Process control

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Models of Mathematical Statistics, their Analysis and Applications. Prof. V. Bagdonavičius. 2015–2019.

Modifications of Bolshev’s and Rosner’s tests for outlier identification with considerably higher classification power were constructed. New goodness-of-fit tests for regression models were constructed and comparative power analysis was done.
Investigation of estimators of the Hurst index was continued.
Necessary and sufficient conditions for existence of uniformly consistent binary classifiers are found.
The analysis of lymphocytes subsets in children with leukemia was performed. The results of experiments on immune system interaction with tumors in mice were analyzed.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

Padova University (Italy)

OTHER SCIENTIFIC ACTIVITIES

Prof. V. Bagdonavičius –

Prof. V. Kazakevičius, Assoc. Prof. R. Eidukevičius, Affil. Prof. J. Kruopis, Dr. R. Levulienė, Dr. V. Skorniakov, Dr. M. Vaičiulis, Assoc. Prof. P. Vaitkus –

  • members of the Lithuanian Mathematical Society.

DEPARTMENT OF PROBABILITY THEORY AND NUMBER THEORY

24 Naugarduko, LT–03225 Vilnius
Tel. 219 3081
E-mail

Head - Prof. Habil. Dr. Artūras Dubickas

STAFF

Professors: Dr. R. Garunkštis (part-time), Habil. Dr. E. Manstavičius.
Chief research fellows: Habil. Dr. A. Dubickas, Dr. R. Garunkštis (part-time), Habil. Dr. A. Laurinčikas (part-time), Habil. Dr. E. Manstavičius.
Associate professor: Dr. P. Drungilas.
Lecturers: Dr. D. Dzindzalieta, Dr. A. Grigutis, Dr. A. Kačėnas (part-time), Dr. R. Petuchovas, V. Stepas, Dr. R. Šimėnas, Dr. J Šiurys, Dr. A. Zinevičius (part-time)
Doctoral students: L. Kaziulytė, L. Meška, A. Mincevič, D. Mochov, T. Panavas, A. Rimkevičienė, M. Stoncelis, G. Šemetulskis, R. Tamošiūnas, P. Tarasov, A.  Vaiginytė.

RESEARCH INTERESTS

Algebraic number theory
Analytic number theory
Combinatorics
Probabilistic number theory

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Problems of Algebraic and Analytic Number Theory. Prof. A. Dubickas, Prof. A. Laurinčikas, Prof. E. Manstavičius. 2014–2018.

It was shown that Salem numbers can occur as Mahler measures of nonreciprocal algebraic numbers. Asymptotic analysis of the number of permutations missing long or short cycles was carried out.
Discrete universality theorems for zeta functions involving uniformly distributed sequences were proved. The questions concerning the size of the Selberg zeta-function at places symmetric with respect to the critical line were answered.

Main publications:

Dubickas, A. 2016. Counting integer reducible polynomials with bounded measure. Applicable Analysis and Discrete Mathematics, vol. 10 (2), p. 308–324.

Garunkštis, R., Grigutis, A. 2016. The size of the Selberg zeta-function at places symmetric with respect to the line Re(s) = ½. Results. Math., vol. 70(1), p. 271–281.

Manstavičius, E. 2016. Petuchovas, R. Local probabilities for random permutations without long cycles. Electron. J. Combin., vol. 23(1), #P1.58, 25 p.

Laurincikas, A. 2016. Distribution module 1 and universality of the Hurwitz zeta-function. J. Number Theory, vol. 167, p. 294–303.

National Research Projects

Research Council of Lithuania. Properties of Zeta-functions of the First and Second Order (No. MIP-049/2014). Prof. R. Garunkštis. 2014–2017.
The following main results were achieved: the discrete moment for the Riemann zeta-function is obtained and the discrete universality of the Riemann zeta-function over the imaginary parts of its zeros is proved.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of New South Wales, Sydney (Australia)
University of Edinburgh (UK)
Nagoya University (Japan)
Würzburg University (Germany)
Moscow University (Russia)

OTHER SCIENTIFIC ACTIVITIES

Prof. A. Dubickas –

Prof. R. Garunkštis –

Prof. A. Laurinčikas –

Prof. E. Manstavičius –

  • member of the Lithuanian Academy of Sciences, http://lma.lt;
  • section editor of the Lithuanian Mathematical Journal, http://www.mii.lt/index.php?siteaction=pages.ed&page=lmj_an&lang=en;
  • editorial board member of the International Journal of Number Theory, http://www.worldscientific.com/page/ijnt/editorial-board.
  • organizing committee member of the 6th international conference Analytic and Probabilistic Methods in Number Theory, Palanga, Lithuania, September 11-17, 2016;
  • programme committee member of the 12th Vilnius international conference on Probability Theory and Mathematical Statistics to be held jointly with Institute of Mathematical Statistics, Vilnius, Lithuania, July, 2018.

DEPARTMENT OF SOFTWARE ENGINEERING

47 Didlaukio, LT-08303 Vilnius
Tel. 219 5040, fax 215 1585
E-mail:

Head – Prof. Dr. Romas Baronas

STAFF

Professors: Dr. R. Baronas, Dr. S. Gudas (part-time), Dr. S. Minkevičius (part-time).
Associate professors: Dr. V. Čyras, Dr. S. Dapkūnas, Dr. K. Lapin, Dr. A. Lupeikienė (part-time), Dr. K. Petrauskas, Dr. S. Ragaišis, Dr. G. Slivinskas (part-time).
Lecturers: Dr. V. Ašeris (part-time), Dr. A. Glemža (part-time), Dr. E. Pakalnickienė (part-time), Dr. T. Plankis, Dr. S.Peldžius, Dr. A. Šermokas (part-time), A. Adamonis (part-time), G. Alzbutas (part-time), D. Čiukšys, V. Golubevas (part-time), V. Jusevičius (part-time), A. Lančinskas (part-time), Ž. Ledas (part-time), V. Pozdniakov (part-time), D. Saltanavičius (part-time), V. Valaitis.
Assistants: P. Jarmalavičius (part-time), V. Karpavičius (part-time). V. Mockus (part-time), O. Mirzianov, L. Petkevičius, J. Ragaišis (part-time), A. Šimkus (part-time), J. Vysockytė (part-time), K. Uosis (part-time).
Doctoral students: E. Greičius, Ž. Ledas, L. Litvinas, L. Petkevičius, L. Ričkus.

RESEARCH INTERESTS

Software process modelling, assessment and improvement
Learning Process Assessment and Improvement
Modern software development technologies
Software quality assessment
Teaching software engineering
User experience quality models
Legal informatics
Computer calculations in mathematics
Computational modelling of chemical and biological processes and systems
Reliability of multi-server computer networks

RESEARCH PROJECTS CARRIED OUT IN 2016

Projects Supported by University Budget

Modelling of Computerized Systems and Their Development Process. Prof. R. Baronas. 2012–2016.

An approach to learning process assessment and improvement.
A method combining mathematical modeling, multi-objective optimization and multi-dimensional visualization intended for the design and optimization of amperometric biosensors.
An approach to dimensinality reduction in modelling multi-layered biosensors.
A computational model of a population of the metabolically flexible bacteria.
Operational treatment of legal meanings.
The probability limit theorem derived on the queue length of jobs in open multi-server queuing networks in heavy traffic.
Theorem on the law of the iterated logarithm for a virtual waiting time of job in an open multi-server queuing network under heavy traffic conditions.
Theorem about the law of the iterated logarithm in multiphase queuing systems.

Main publications:

Baronas, R., Žilinskas, A., Litvinas, L. 2016. Optimal design of amperometric biosensors applying multi-objective optimization and decision visualization. Electrochimica Acta, vol. 211, p. 586–594.

Ašeris, V., Baronas, R., Petrauskas, K. 2016. Computational modelling of three-layered biosensor based on chemically modified electrode. Computational and Applied Mathematics, vol. 35, iss. 2, p. 405–421.

Čyras, V., Lachmayer, F., Schweighofer, E. 2016. Visualization as a tertium comparationis within multilingual communities. Baltic Journal of Modern Computing. Riga: University of Latvia, vol. 4, no 3, p. 524–545.

MAIN R&D&I (RESEARCH, DEVELOPMENT AND INNOVATION) PARTNERS

University of Innsbruck (Austria)
University of Vienna (Austria)
Danube University Krems (Austria)
Danske Bank A/S (Lithuania)

OTHER SCIENTIFIC ACTIVITIES

Prof. R. Baronas –

  • deputy editor-in-chief of the Nonlinear Analysis: Modelling and Control Journal, http://www.mii.lt/NA;
  • editorial board member of the Baltic Journal of Modern Computing Journal, http://www.bjmc.lu.lv;
  • editorial board member of the international journal of Artificial Intelligence Journal, http://www.ceserp.com/cp-jour/index.php?journal=ijai;
  • editorial board member of the journal Informatica, http://www.mii.lt/informatica;
  • member of Transport Science and Information Technology Council of the Ministry of Transport and Communications of the Republic of Lithuania;
  • member of Association for Computing Machinery (ACM).

Assoc. Prof. V. Čyras –

Assoc. Prof. A. Lupeikienė –