Faculty of Civil Engineering
Department: Department of Mathematics and Descriptive Geometry
Contact person: Prof. RNDr. Karol Mikula, DrSc.
Contact: +421 2 5927 4418
e-mail: mikula@math.sk
web page: http://www-kmadg.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 non-conformal schemes, Communications in Pure and Applied Analysis, Volume 11, Issue 1 (2012) pp. 147-172.
- R.Cunderlik, K.Mikula, M.Tunega, Nonlinear diffusion filtering of data on the Earth's surface, Journal of Geodesy, 2012, DOI 10.1007/s00190-012-0587-y.
- 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 9-14, 2012, Proceedings of contributed papers and posters (Eds. A.Handlovicova, Z.Minarechova, D.Sevcovic), ISBN 978-80-227-3742-5, Publishing House of STU, 2012, pp. 416-426.
- 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. 2277-2294 (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. 326-339.
- 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. 813-846.
- M.Sprlák, Z.Faskova, K.Mikula, On the application of the coupled finite-infinite element method to the geodetic boundary value problem, Studia Geophysica et Geodaetica, Vol. 55 (2011) pp. 479-487.
- .Mikula, M.Ohlberger, A new level set method for motion in normal direction based on a semi-implicit forward-backward diffusion approach, SIAM Journal on Scientific Computing, Vol. 32, No. 3 (2010) pp. 1527-1544.
- 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. 226-259.
- 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. 510-526.
- C.Zanella, M.Campana, B.Rizzi, C.Melani, G.Sanguinetti, P.Bourgine, K.Mikula, N.Peyrieras, A.Sarti, Cells Segmentation from 3-D Confocal Images of Early Zebrafish Embryogenesis, IEEE Transactions on Image Processing, Vol.19, No.3 (2010) pp. 770-781.
- R.Cunderlik, K.Mikula, Direct BEM for high-resolution gravity field modelling, Studia Geophysica et Geodetica, Vol. 54, No. 2 (2010) pp. 219-238.
- Z.Faskova, R.Cunderlik, K.Mikula, Finite element method for solving geodetic boundary value problems, Journal of Geodesy, Vol. 84, Issue 2 (2010) pp 135-144.
- 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. 195-211.
Photos:
Fig.1: Our parallel supercomputers.
Fig.2: Our laboratory.
