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:

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.