Faculty of Civil Engineering
Department: Department of Mathematics and Descriptive Geometry
Contact person: Prof. RNDr. Karol Mikula, DrSc.
Contact: +421 2 5927 4418
email: mikula@math.sk
web page: http://wwwkmadg.svf.stuba.sk/wiki/FrontPageEn
Projects:
Id

Project title

Supervisor

Type

Since

Until

3176

EMBRYOMICS: Reconstructing in space and time the cell lineage tree

K. Mikula

EU project  New and Emerging Science and Technology (NEST)

01.11.2005

31.05.2009

1913

Modern methods of mathematical and computational modelling in engineering applications.

K. Mikula

VEGA

01.01.2006

31.12.2008

3258

BioEMERGENCIES

K. Mikula

EU project  New and Emerging Science and Technology (NEST)

01.06.2006

31.12.2010

2249

Image analysis by nonlinear diffusion equations

K. Mikula

APVV

28.05.2007

31.12.2009

2387

Numerical solution and applications of the nonlinear partial differential equations

K. Mikula

APVV

01.06.2008

30.06.2011

2301

Development of the efficient and relialable numerical methods for engineering applications

K. Mikula

VEGA

01.01.2009

31.12.2012

2795

Effective numerical methods for the solution of geometric partial differential equations

P. Frolkovič

VEGA

01.01.2010

31.12.2011

4253

Efficient numerical methods and parallel computing in geodesy

R. Čunderlík

VEGA

01.01.2011

31.12.2014

4024

Geometrical partial differential equations  numerical analysis and applications

K. Mikula

APVV

01.05.2011

31.10.2014

5748

Finite volume methods for partial differential equations

P. Frolkovič

VEGA

01.01.2012

31.12.2014

5885

Numerical modelling in geodesy

K. Mikula

APVV

01.07.2012

31.12.2014

Publications:
 R.Eymard, A.Handlovicova, K.Mikula, Approximation of nonlinear parabolic equations using a family of conformal and nonconformal schemes, Communications in Pure and Applied Analysis, Volume 11, Issue 1 (2012) pp. 147172.
 R.Cunderlik, K.Mikula, M.Tunega, Nonlinear diffusion filtering of data on the Earth's surface, Journal of Geodesy, 2012, DOI 10.1007/s001900120587y.
 K. Mikula, M. Smisek, R. Spir, Parallel algorithms for segmentation of cellular structures in 2D+Time and 3D morphogenesis data, ALGORITMY 2012, 19th Conference on Scientific Computing, Podbanske, Slovakia, September 914, 2012, Proceedings of contributed papers and posters (Eds. A.Handlovicova, Z.Minarechova, D.Sevcovic), ISBN 9788022737425, Publishing House of STU, 2012, pp. 416426.
 M.Balazovjech, K.Mikula, A higher order scheme for a tangentially stabilized plane curve shortening flow with a driving force, SIAM Journal on Scientific Computing, Vol. 33, No. 5, pp. 22772294 (2011).
 K.Mikula, N.Peyrieras, M.Remesikova, O.Stasova, Segmentation of 3D cell membrane images by PDE methods and its applications, Computers in Biology and Medicine, Vol. 41, No. 6 (2011) pp. 326339.
 R.Eymard, A.Handlovicova, K.Mikula, Study of a finite volume scheme for the regularised mean curvature flow level set equation, IMA Journal on Numerical Analysis, Vol. 31 (2011) pp. 813846.
 M.Sprlák, Z.Faskova, K.Mikula, On the application of the coupled finiteinfinite element method to the geodetic boundary value problem, Studia Geophysica et Geodaetica, Vol. 55 (2011) pp. 479487.
 .Mikula, M.Ohlberger, A new level set method for motion in normal direction based on a semiimplicit forwardbackward diffusion approach, SIAM Journal on Scientific Computing, Vol. 32, No. 3 (2010) pp. 15271544.
 P.Bourgine, R.Cunderlik, O.Drblikova, K.Mikula, N.Peyrieras, M.Remesikova, B.Rizzi, A.Sarti, 4D embryogenesis image analysis using PDE methods of image processing, Kybernetika, Vol. 46, No. 2 (2010) pp. 226259.
 Z.Kriva, K.Mikula, N.Peyrieras, B.Rizzi, A.Sarti, O.Stasova, 3D Early Embryogenesis Image Filtering by Nonlinear Partial Differential Equations, Medical Image Analysis, Vol. 14, No. 4 (2010) pp. 510526.
 C.Zanella, M.Campana, B.Rizzi, C.Melani, G.Sanguinetti, P.Bourgine, K.Mikula, N.Peyrieras, A.Sarti, Cells Segmentation from 3D Confocal Images of Early Zebrafish Embryogenesis, IEEE Transactions on Image Processing, Vol.19, No.3 (2010) pp. 770781.
 R.Cunderlik, K.Mikula, Direct BEM for highresolution gravity field modelling, Studia Geophysica et Geodetica, Vol. 54, No. 2 (2010) pp. 219238.
 Z.Faskova, R.Cunderlik, K.Mikula, Finite element method for solving geodetic boundary value problems, Journal of Geodesy, Vol. 84, Issue 2 (2010) pp 135144.
 K.Mikula, D.Sevcovic, M.Balazovjech, A simple, fast and stabilized flowing finite volume method for solving general curve evolution equations, Communications in Computational Physics, Vol. 7, No. 1 (2010) pp. 195211.
Photos:
Fig.1: Our parallel supercomputers.
Fig.2: Our laboratory.