Mathematical Modelling Group

Department of Mathematics
Faculty of Nuclear Sciences and Physical Engineering
Czech Technical University in Prague

Publications of the Mathematical Modelling Group

2007:

Editors of proceedings

Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042

Peer reviewed articles in the impacted scientific periodicals

Fučík R., Mikyška J., Illangasekare T.H. and Beneš M. Improvement to Semi-Analytical Solution for Validation of Numerical Models of Two-Phase Porous-Media Flow, Vadose Zone Journal 6:93--104 (2007), ISSN 1539-1663, Impact factor 1.549

Mikyška J. and Illangasekare T.H. Application of a multiphase flow code for investigation of influence of capillary pressure parameters on two-phase flow. Kybernetika Vol. 43 (2007), No. 6, 831--840, ISSN: 0023-5954, Impact factor 0.293

Minárik V. and Kratochvíl J. Dislocation dynamics -- Analytical description of the interaction force between dipolar loops. Kybernetika Vol. 43 (2007), No. 6, 841--854, ISSN: 0023-5954, Impact factor 0.293

Oberhuber T. Finite difference scheme for the Willmore flow of graphs. Kybernetika Vol. 43 (2007), No. 6, 855--867, ISSN: 0023-5954, Impact factor 0.293

Straka R. and Makovička J. Model of pulverized coal combustion in furnace. Kybernetika Vol. 43 (2007), No. 6, 879--891, ISSN: 0023-5954, Impact factor 0.293

Yazaki S. An area-preserving motion by crystalline curvature. Kybernetika Vol. 43 (2007), No. 6, 903--912, ISSN: 0023-5954, Impact factor 0.293

Yazaki S. On the tangential velocity arising in a crystalline algorithm. Kybernetika Vol. 43 (2007), No. 6, 913--918, ISSN: 0023-5954, Impact factor 0.293

Peer reviewed articles in the non-impacted scientific periodicals

Beneš M., Mikula K., Oberhuber T. and Ševčovič D. Comparison study for Level set and Direct Lagrangian methods for computing Willmore flow of closed planar curves, Comput. Visual Sci. 12, 307 (2009)

Beneš M. Computational Studies of Anisotropic Diffuse Interface Model of Microstructure Formation in Solidification, Acta Mathematica Universitatis Comenianae, Vol. 76, 1 (2007), pp. 39--50, ISSN 0862-9544

Bauer P. and Jaňour Z. Flow and pollution transport in the street canyon. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 4--8

Bednařík P. Improved numerical method for multidirectional fractional advection-dispersion equation in 1-D and 2-D with general boundary condition. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 9--24

Brand S. Parallel algorithm for numerical solution of the shallow water equation. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 25--36

Chalupecký V. and Emmerich H. Numerical scheme for two-scale model of liquid phase epitaxy. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 50--61

Kimura M., Komura H., Mimura M., Miyoshi H., Takaishi T. and Ueyama D. Quantitative study of adaptive mesh FEM with localization index of patterns. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 114--136

Mach J. Application of non-linear diffusion in algorithms of mathematical visualization. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 156--164

Pauš P. Computer Analysis of fractal sets. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 171--175

Seinerová K. Numerical solution of a flow over an obstacle. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 185--192

Strachota P. Vector field visualization by means of anisotropic diffusion. In: Beneš M., Kimura M. and Nakaki T., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University Fukuoka, 2007, ISSN 1881-4042, pp. 193--205

Chalupecký V., Eck Ch., Emmerich H. Computation of nonlinear multiscale coupling effects in liquid phase epitaxy, Eur. Phys. J. Special Topics 149, 1--17 (2007)

Krishnamoorthy G., Emmerich H., Chalupecký V. Estimation of critical dislocation distances, Eur. Phys. J. Special Topics 149, 19--26 (2007)

Articles in the conference proceedings

Bauer P. Flow in the Street Canyon, in HPC-Europa: Science and Supercomputing in Europe, Report 2006, Eds. P. Alberigo, G. Erbacci, F. Garofalo, CINECA Consortio Interuniversitario, pp. 521--527, ISBN 978-88-86037-19-8

Chalupecký V. and Emmerich H. Parallel Implementation of Model for LPE Growth with Convention, in HPC-Europa: Science and Supercomputing in Europe, Report 2006, Eds. P. Alberigo, G. Erbacci, F. Garofalo, CINECA Consortio Interuniversitario, pp. 532--536, ISBN 978-88-86037-19-8

Oberhuber T. Numerical Scheme foro the Willmore Flow, in HPC-Europa: Science and Supercomputing in Europe, Report 2006, Eds. P. Alberigo, G. Erbacci, F. Garofalo, CINECA Consortio Interuniversitario, pp. 554--558, ISBN 978-88-86037-19-8

Mikyška J., Beneš M. and Illangasekare T.H. VODA Multiphase Flow Code for Investigation of NAPL Behavior at Heterogeneous Sand Layers. In: Proceedings of the 2nd International Conference on Porous Media and its Applications in Science and Engineering ICPM2, Ed. K. Vafai, CD-ROM, Engineering Conferences International, 2007

Beneš M., Fučík R., Mikyška J. and Illangasekare T.H. Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium. In: Proceedings of the 2nd International Conference on Porous Media and its Applications in Science and Engineering ICPM2, Ed. K. Vafai, CD-ROM, Engineering Conferences International, 2007

Beneš M., Minárik V., Pauš P., and Čulík Z. Moving Boundaries in Material Science, in DMHF2007: COE Conference on the Development of Mathematics with High Functionality, Book of Abstracts, Eds. M.T. Nakao, Faculty of Mathematics, Kyushu University, Fukuoka, October 2007, pp. 61--64

Kimura M., Beneš M., and Yazaki S. Crystalline Motion in Hele-Shaw Cells, in DMHF2007: COE Conference on the Development of Mathematics with High Functionality, Book of Abstracts, Eds. M.T. Nakao, Faculty of Mathematics, Kyushu University, Fukuoka, October 2007, pp. 271--274

Peer reviewed internal reports

Straka R. Fluidized Bed Furnaces, Internal report No. 1-07, MPO No. 1H-PK/22, Department of Mathematics, FNSPE CTU in Prague, 2007

Mach J. Structures in Premixed Gas Mixture Combustion, Internal report No. 2-07 (in Czech), MPO No. 1H-PK/22, Department of Mathematics, FNSPE CTU in Prague, 2007