Laboratory of parallel computing in science and technology

  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.